| 523 |
Feburuary 2023 |
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering |
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces |
surface Navier–Stokes system, surface PDEs, evolving surfaces, TraceFEM |
| 522 |
December 2022 |
Hauke Sass, Arnold Reusken |
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
|
surface partial differential equation, trace finite element method, space-time finite element method, unfitted finite element method |
| 521 |
August 2022 |
Siegfried Müller, Michael Rom |
Analytical investigation of 1D Darcy-Forchheimer flow under local thermal nonequilibrium |
transpiration cooling, 1D porous medium flow, Darcy-Forchheimer, local thermal nonequilibrium |
| 520 |
March 2022 |
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov |
Tangential Navier-Stockes equations on evolving surfaces: Analysis and simulations |
Navier-Stokes, surface partial differential equations, well-posedness, trace finite |
| 519 |
February 2022 |
Sven Groß, Arnold Reusken |
Analysis of optimal preconditioners for CutFEM |
unfitted finite elements, CutFEM, Nitsche method, interface problem, fictitious domain method, preconditioner |
| 518 |
October 2021 |
Philip Brandner, Arnold Reusken, Paul Schwering |
On derivations of evolving surface Navier-Stokes equations |
surface PDEs, Navier-Stokes on surfaces |
| 517 |
July 2021 |
Guoxian Chen, Sebastian Noelle |
A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations |
Saint-Venant system, well-balanced property, positivity preserving property, subcell hydrostatic reconstruction, bottom-surface-gradient method, maximum-minimum property |
| 516 |
June 2021 |
Sebastian Noelle, Martin Parisot, Tabea Tscherpel
|
A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry |
shallowwater flow, Green-Naghdi equations, dispersive equations, boundary conditions, prediction correction scheme, projection method, entropy satisfying scheme |
| 515 |
July 2021 |
Sven Groß, Arnold Reusken |
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method |
unfitted finite elements, CutFEM, Nitsche method, fictitious domain method, preconditioner |
| 514 |
June 2021 |
Michael Herty, Adrian Kolb, Siegfried Müller |
Higher-dimensional deterministic formulation of hyperbolic conservation laws with uncertain initial data |
hyperbolic conservation laws, uncertainty quantification, discontinuous Galerkin methods, stochastic collocation, multiresolution analysis |
| 513 |
May 2021 |
Yannick Holle |
Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models |
vehicular traffic flow, maximum entropy dissipation, LWR traffix model, scalar conservationlaws, kinetic model, traffic networks |
| 512 |
March 2021 |
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt |
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations |
surface Stokes equation, trace finite element method (TraceFEM), surface finite element method (SFEM), Taylor-Hood finite elements, stream function formulation, higher order surface approximation |
| 511 |
February 2021 |
Sven Leyffer, Sebastian Sager, Anna Thünen |
State Elimination for Mixed-Integer Optimal Control of PDEs by Semigroup Theory |
mixed-integer nonlinear programming, parabolic PDE, optimal control |
| 510 |
December 2020 |
Václav Kučera, Maria Lukáčová-Medvid‘ová, Sebastian Noelle, Jochen Schütz |
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations |
asymptotic preserving schemes, compressible Euler equations, Low-Mach limit Hilbert expansion |
| 509 |
November 2020 |
Michael Herty, Sonja Steffensen, Anna Thünen |
Multiscale Control of Stackelberg Games |
Multi-level Game, Multiscale Control, Stackelberg Game, Nash Equilibrium, Mean-Field Game |
| 508 |
October 2020 |
Arnold Reusken |
Analysis of finite element methods for surface vector-Laplace eigenproblems |
vector-Laplace eigenproblem, surface finite element method, trace finite element method |
| 507 |
October 2020 |
Yogiraj Mantri, Sebastian Noelle |
Well-balanced discontinuous Galerkin scheme for 2 × 2 hyperbolic balance law |
well-balanced scheme, discontinuous Galerkin scheme, hyperbolic balance laws, flows on networks |
| 506 |
July 2020 |
Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti |
Mean_field limit of a hybrid system for multi-lane multi-class traffic |
multi-lane traffic, autonomous vehicles, mean-field limit, hybrid systems, generalized Wasserstain distance |
| 505 |
June 2020 |
Dieter Armbruster, Michael Herty, Giuseppe Viscont |
A Stabilization of a Continuous Limit of the Ensemble Kalman Filter |
dynamical systems, inverse problems, regularization, stabilization, nonlinear filtering methods, moment equations |
| 504 |
June 2020 |
Arnold Reusken, Benjamin Stamm |
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model |
Schwarz domain decomposition method, conductor-like screening continuum model, convergence analysis
|
| 503 |
April 2020 |
Stephan Gerster, Michael Herty, Hui Yu |
Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations |
systems of kinetic and hyperbolic balance laws, exponential stability, asymptotic stability, feedback stabilization |
| 502 |
March 2020 |
Thomas Jankuhn, Maxim A. Olshanskii , Arnold Reusken, Alexander Zhiliakov |
Error analysis of higher order trace finite element methods for the surface stokes equation |
surface Stokes equation, trace finite element method, Taylor-Hood finite elements |
| 501 |
January 2020 |
Valentina König, Siegfried Müller
|
Effective boundary conditions for transpiration cooling applications
|
effective boundary conditions, upscaling strategy, transpiration cooling, two-domain approach, compressible flow, porous medium flow |
| 500 |
January 2020 |
Michael Herty, Torsten Trimborn, Giuseppe Visconti
|
Kinetic Theory for Residual Neural Networks |
Keywords Residual neural network, continuous limit, mean field equation, kinetic equation, machine learning application
|
| 499 |
December 2019 |
Michael Herty, Siegfried Müller, Aleksey Sikstel
|
Coupling of Linear Elastic Equations and Compressible Euler Equations and Stiffened Gas
|
Linear elastic equations, compressible Euler equations, coupling conditions, coupled Riemann problem, Lax curves
|
| 498 |
December 2019 |
Michael Herty, Giuseppe Visconti |
Continuous Limits for Constrained Ensemble Kalman Filter |
inverse problems, constrained optimization, nonlinear ltering methods, DAE systems, mean-field limit |
| 497 |
November 2019 |
Mapundi K. Banda, Michael Herty, Torsten Trimborn
|
Recent developments in controlled crowd dynamics
|
crowd dynamics, particle systems, control, multiscale control, Ricatti, mean field limit, hydrodynamic limit, instantaneous control, opinion formation, wealth models |
| 496 |
October 2019 |
Martin Frank, Michael Herty, Torsten Trimborn |
Microscopic Derivation of Mean Field Game Models |
mean field game, differential game, Nash equilibria, microscopic derivation, dynamic programming principle, scales, mean field limit, Levy-Levy-Solomon model
|
| 495 |
October 2019 |
Matteo Semplice, Giuseppe Visconti |
Efficient implementation of adaptive order reconstructions |
CWENOZ-AO, polynomial reconstruction, weighted essentially nonoscillatory, CWENOZ, adaptive order WENO, finite volume schemes, hyperbolic systems, conservation and balance laws |
| 494 |
October 2019 |
Cory D. Hauck, Michael Herty, Giuseppe Visconti |
Qualitative Properties of Mathematical Model for Data Flow |
conservation laws, predictive performance |
| 493 |
October 2019 |
Philip Brandner, Arnold Reusken |
Finite element error analysis of surface Stokes equations in stream function formulation |
surface Stokes, stream function formulation, error analysis, TraceFEM |
| 492 |
September 2019 |
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov |
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs |
surface Stokes problem, trace finite element method, Taylor–Hood elements, material surfaces, fluidic membranes |
| 491 |
September 2019 |
Thomas Jankuhn, Arnold Reusken |
Higher order trace finite element methods for the surface Stokes equation |
surface Stokes equation, trace finite element method, Taylor-Hood finite elements |
| 490 |
April 2019 |
Thomas Jankuhn, Arnold Reusken |
Trace finite element methods for surface vector-Laplace equations |
vector-Laplace, trace finite element method |
| 489 |
February 2019 |
Michael Herty, Christian Ringhofer |
Consistent mean field optimality conditions for interacting agent systems |
Kinetic Equations, Particle Systems, Optimal Control, Meanfield Limits
|
| 488 |
January 2019 |
Stephan Gerster, Michael Herty |
Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations |
Hyperbolic Partial Differential Equations, Uncertainty Quantification, Stochastic Galerkin, Shallow Water Equations, Wellposedness, Entropy |
| 487 |
January 2019 |
Michael Herty, Gabriella Puppo, S. Roncoroni, Giuseppe Visconti |
The BGK approximation of kinetic models for traffic |
vehicular traffic, BGK models, Chapman-Enskog expansion, multi-scale models, kinetic equations |
| 486 |
November 2018 |
André Schlichting |
The exchange-driven growth model: Basic properties and longtime behaviour |
convergence to equilibrium, exchange-driven growth, entropy method, mean-field equation, zero-range process |
| 485 |
November 2018 |
Michael Herty, Giuseppe Visconti
|
Kinetic Methods for Inverse Problems
|
Kinetic Partial Differential Equations, Nonlinear Filtering Methods, Inverse Problems
|
| 484 |
November 2018 |
Isabella Cravero, Matteo Semplice, Giuseppe Visconti |
Optimal definition of the nonlinear weights in multidimensional Central WENOZ reconstructions
|
central WENOZ (CWENOZ) essentially non-oscillatory reconstructions finite volume schemes smoothness indicators
|
| 483 |
October 2018 |
Michael Herty, Siegfried Müller, Aleksey Sikstel |
Coupling of compressible Euler equations |
Gas networks, compressible Euler equations, isentropic, Euler equations, coupling conditions, coupled Riemann problem, Lax curves |
| 482 |
August 2018 |
Michael Herty, Sonja Steffensen, Anna Thünen
|
Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower’s Best Response
|
Multi-Leader-Follower Games, Nash Equilibria, Nonsmooth Newton, Subgradient Method, Game Theory, Equilibrium Problems with Equilibrium Constraints
|
| 481 |
July 2018 |
Thomas Ludescher, Sven Groß, Arnold Reusken |
A multigrid method for unfitted finite element discretizations of elliptic interface problems |
geometric multigrid, unfitted finite elements, interface problem, Nitsche, CutFEM
|
| 480 |
June 2018 |
Yogiraj Mantri, Michael Herty, Sebastian Noelle |
Well-balanced scheme for gas-flow in pipeline networks |
hyperbolic conservation laws, well-balanced schemes, gas flow networks |
| 479 |
March 2018 |
Igor Voulis, Arnold Reusken |
A Time Dependent Stokes Interface Problem: Well-Posedness and Space-Time Finite Element Discretization |
space-time variational saddle point formulation, well-posed operator equation, two-phase flow, XFEM, space-time finite element method, discontinuous galerkin, four-dimensional computations |
| 478 |
March 2018 |
Arnold Reusken |
Stream Function Formulation of Surface Stokes Equations |
surface Stokes, surface Helmholtz decomposition, stream function formulation |
| 477 |
March 2018 |
Stephan Gerster, Michael Herty, Aleksey Sikstel
|
Hyperbolic Stochastic Galerkin Formulation for the p-System |
Hyperbolic Partial Differential Equations, Uncertainty Quantification, Stochastic Galerkin Method, Euler Equations, Roe Variable Transformation |
| 476 |
January 2018 |
Klaus Kaiser, Jonas Zeifang, Jochen Schütz, Andrea Beck, Claus-Dieter Munz
|
Comparison of Different Splitting Techniques for the Isentropic Euler Equations
|
discontinuous Galerkin spectral element, low Mach, IMEX Runge-Kutta, flux splitting, asymptotic consistency
|
| 475 |
January 2018 |
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin
|
A Finite Element Method for the Surface Stokes Problem
|
surface fluid equations, surface stokes problems trace finite element method
|
| 474 |
January 2018 |
Igor Voulis, Arnold Reusken |
Discontinuous Galerkin Time Discretization Methods for Parabolic Problems with Linear Constraints |
abstract parabolic problem, discontinuous Galerkin methods, discretization of linear constraints, optimal discretization error bounds |
| 473 |
December 2017 |
Peter Gerds |
Solving an Integral Equation Eigenvalue Problem via a New Domain Decomposition Method and Hierarchical Matrices |
Automated multi-level substructuring, hierarchical matrices, integral equation eigenvalue problem, domain decomposition method, dense eigenvalue problem |
| 472 |
November 2017 |
Michael Herty, Andrea Tosin, Giuseppe Visconti, Mattia Zanella
|
Hybrid stochastic kinetic description of two-dimensional traffic dynamics
|
Boltzmann and Fokker-Planck equations, uncertainty quantification, structure preserving schemes, fundamental diagrams, data dispersion
|
| 471 |
October 2017 |
Michael Herty, Salissou Moutari, Giuseppe Visconti |
Macroscopic modeling of multi-lane motorways using a two-dimensional second-order model of traffic flow |
traffic flow, macroscopic model, two dimensional model, second-order traffic flow models |
| 470 |
September 2017 |
Sebastian Noelle |
On the derivation of the Discontinuous Galerkin method for hyperbolic conservation laws |
discontinuous Galerkin method, hyperbolic conservation laws, semi-discrete weak formulation, numerical flux function
|
| 469 |
August 2017 |
Sven Groß, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken |
A Trace Finite Element Method for Vector-Laplacians on Surfaces |
surface fluid equations, surface vector-Laplacian, trace finite element method |
| 468 |
July 2017 |
Stephan Gerster, Michael Herty |
Discretized Feedback Control for Hyperbolic Balance Laws |
Lyapunov function, Feedback stabilization, Systems of balance laws, isothermal Euler equations, shallow water equations |
| 467 |
July 2017 |
Klaus Kaiser, Jochen Schütz |
Asymptotic Error Analysis of an IMEX Runge-Kutta method |
Order reduction, RS-IMEX, IMEX Runge-Kutta, singularly perturbed equation, asymptotic convergence order |
| 466 |
June 2017 |
Michael Herty, Giuseppe Visconti |
A two-dimensional data-driven model for traffic flow on highways |
traffic flow, macroscopic model, two dimensional model, trajectory data, validation, data fitting |
| 465 |
May 2017 |
Jonas Zeifang, Klaus Kaiser, Andrea Beck, Jochen Schütz, Claus-Dieter Munz |
Efficient high-order discontinuous Galerkin computations of low Mach number flows |
discontinuous Galerkin, IMEX-Runge-Kutta, low Mach number, splitting, asymptotic preserving |
| 464 |
March 2017 |
Eduard Bader, Mark Kärcher, Martin A. Grepl, Karen Veroy |
Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints |
optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems, partial differential equations, elliptic problems, control constraints |
| 463 |
March 2017 |
Mark Kärcher, Sébastien Boyaval, Martin A. Grepl, Karen Veroy |
Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation
|
variational data assimilation, 4D-Var, strong-constraint 4D-Var, weak-constraint 4D-Var, reduced-order models, reduced basis method, a posteriori error estimation, PDE-constrained optimization, parameter estimation |
| 462 |
February 2017 |
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken |
Incompressible Fluid Problems on Embedded Surfaces: Modeling and Variational Formulations |
surface PDEs, Navier-Stokes on surfaces |
| 461 |
January 2017 |
Lars Grasedyck, Sebastian Krämer |
Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion |
tensor completion, MPS, tensor train, TT, hierarchical Tucker, HT, alternating optimization, ALS, high-dimensional, low rank, SVD, ill-posedness, stability |
| 460 |
November 2016 |
Maxim A. Olshanskii, Arnold Reusken |
Trace Finite Element Methods for PDEs on Surfaces |
trace finite elements, PDEs on surfaces, unfitted finite elements |
| 459 |
November 2016 |
Christoph Lehrenfeld, Arnold Reusken |
High Order Unfitted Finite Element Methods for Interface Problems and PDEs on Surfaces |
unfitted finite element method, isoparametric finite element method, interface problems, surface PDEs
|
| 458 |
November 2016 |
Michael Herty, Siegfried Müller, Nils Gerhard, Gaoming Xiang, Bing Wang |
Fluid-structure coupling of linear elastic model with compressible flow models |
fluid-structure interaction, coupling conditions, linear elastic model, compressible flow |
| 457 |
November 2016 |
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken |
Analysis of a high order trace finite element method for PDEs on level set surfaces |
trace finite element method, isoparametric finite element method, high order methods, geometry errors, conditioning, surface PDEs |
| 456 |
August 2016 |
Klaus Kaiser, Jochen Schütz |
A high-order method for weakly compressible flows |
asymptotic preserving, isentropic incompressible Euler, isentropic compressible Euler, RS-IMEX, IMEX Runge-Kutta, discontinuous Galerkin, low Mach |
| 455 |
July 2016 |
Hamed Zakerzadeh |
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension |
IMEX scheme, asymptotic preserving, flux splitting, stability analysis |
| 454 |
July 2016 |
Markus Bachmayr, Albert Cohen, Wolfgang Dahmen |
Parametric PDEs: Sparse or low-rank approximations? |
parameter-dependent PDEs, low-rank approximations, sparse polynomial expansions, a posteriori error estimates, adaptive methods, complexity bounds |
| 453 |
June 2016 |
Elizabeth Qian, Martin Grepl, Karen Veroy, Karen Willcox |
A certified trust region reduced basis approach to PDE-constrained optimization |
model reduction, optimization, trust region methods, partial differential equations, reduced basis methods, error bounds, parametrized systems |
| 452 |
June 2016 |
Robert, O'Connor, Martin Grepl |
Offline Error Bounds for the Reduced Basis Method |
reduced basis methods, greedy sampling, parameter dependent systems, error bounds, offline-online decomposition
|
| 451 |
May 2016 |
Michael Herty, Hui Yu |
Feedback boundary control of linear hyperbolic equations with stiff source term |
stabilization, feedback boundary control, hyperbolic system, stiff source term |
| 450 |
April 2016 |
Christoph Lehrenfeld, Arnold Reusken |
L2-Estimates for a High Order Unfitted Finite Element Method for Elliptic Interface Problems |
unfitted finite element method, isoparametric finite element method, high order methods, geometry errors, interface problems, Nitsche's method |
| 449 |
April 2016 |
Hamed Zakerzadeh, Sebastian Noelle |
A note on the stability of implicit-explicit flux splittings for stiff hyperbolic systems |
stiff hyperbolic systems, flux-splitting, IMEX scheme, asymptotic preserving (AP) property, modified equation, stability analysis |
| 448 |
February 2016 |
Felix Gruber, Angela Klewinghaus, Olga Mula |
The DUNE-DPG library for solving PDEs with Discontinuous Petrov–Galerkin finite elements |
discontinuous Petrov–Galerkin; partial differential equations; inf-sup stability; transport equation; finite elements; DUNE |
| 447 |
February 2016 |
Michael Rom, Karl-Heinz Brakhage, Sebastian Barth, Christian Wrobel, Patrick Mattfeld, Fritz Klocke |
Mathematical modeling of ceramic bond bridges in grinding wheels |
ceramic bond bridges, vitrified grinding wheels, mathematical modeling, Cubic Boron Nitride (CBN) |
| 446 |
February 2016 |
Karl-Heinz Brakhage |
Analytical investigations for the design of fast approximation methods for fitting curves and surfaces to scattered data |
splines, multivariate approximation, least squares, fairing, numerical analysis, numerical linear algebra |
| 445 |
February 2016 |
Christoph Lehrenfeld, Arnold Reusken |
Analysis of a High Order Unfitted Finite Element Method for Elliptic Interface Problems |
unfitted finite element method, isoparametric finite element method, high order methods, geometry errors, interface problems, Nitsche's method
|
| 444 |
February 2016 |
Karl-Heinz Böhm , Mike Espig, Alexander A. Auer |
Tensor Representation Techniques for Full Configuration Interaction: A Fock Space Approach Using the Canonical Product Format |
|
| 443 |
January 2016 |
Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller |
Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries |
homogenization, upscaling strategy, effective boundary conditions, Navier wall law, compressible flow |
| 442 |
January 2016 |
Klaus Kaiser, Jochen Schütz, Ruth Schöbel, Sebastian Noelle |
A new stable splitting for the isentropic Euler equations |
flux splitting, isentropic Euler equations, low Mach, IMEX, reference solution
|
| 441 |
January 2016 |
Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper |
Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations |
linear transport problems, L2 -stable Petrov-Galerkin formulations, δ-proximality, adaptive refinements, anisotropic discretizations, best N -term approximation
|
| 440 |
December 2015 |
Guoxian Chen, Sebastian Noelle |
A new hydrostatic reconstruction scheme motivated by the wet-dry front |
shallow water equations, water at rest, well balanced property, wet-dry front, nonconservative products of measures |
| 439 |
November 2015 |
Jochen Schütz, Vadym Aizinger |
A hierarchical scale separation approach for the hybridized discontinuous Galerkin method |
hybridized discontinuous Galerkin method, hierarchical scale separation, convection-diffusion equation, p-multigrid method |
| 438 |
November 2015 |
Karl-Heinz Brakhage |
Fast Approximation Methods for Fitting Surfaces to Unorganized Point Clouds |
Splines, Multivariate Approximation, Fairing, Numerical Analysis, Numerical Linear Algebra
|
| 437 |
November 2015 |
Michael Rom, Karl-Heinz Brakhage, Sebastian Barth, Christian Wrobel, Patrick Mattfeld, Fritz Klocke |
Mathematical Modeling of Ceramic-Bonded Grinding Wheel Structures |
Mathematical Grinding Wheel Modeling, Granular Structures, Ceramic Bond, CBN |
| 436 |
October 2015 |
Jörg Grande |
Red-Green Refinement of Simplicial Meshes in D Dimensions |
mesh refinement, red-green refinement, green closure, simplicial meshes |
| 435 |
October 2015 |
Alexander Jaust, Jochen Schütz and David C. Seal |
Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation law |
discontinuous Galerkin method, multiderivative time integration, convection-diffusion equation, hybridized discontinuous Galerkin method
|
| 434 |
October 2015 |
Sonja Steffensen |
Runge-Kutta Schemes for Numerical Discretization of Bilevel Optimal Control Problems |
Runge-Kutta schemes, optimal control, bilevel program, hierarchical optimal control, game theory |
| 433 |
October 2015 |
Dirk Broersen, Wolfgang Dahmen and Rob P. Steveson |
On the Stability of DPG Formulations of Transport Equations |
Discontinuous Petrov Galerkin-formulation of transport equations, optimal and near-optimal test spaces, stability |
| 432 |
October 2015 |
Arnold Reusken, Xianmin Xu, Liang Zhang |
Finite Element Methods for a Class of Continuum Models for Immiscible Flows with Moving Contact Lines |
moving contact line, General Navier Boundary Condition(GNBC), sharp interface, level set, Nitsche's method, extended finite element method |
| 431 |
September 2015 |
Mapundi K. Banda, Axel-Stefan Häck and Michael Herty |
Numerical Discretization of Coupling Conditions by High-Order Schemes |
numerical methods, higher-order coupling, networks of fluid dynamics |
| 430 |
August 2015 |
Bahodir Ahmedov, Martin A. Grepl, Michael Herty |
Certified Reduced Order Methods for Optimal Treatment Planning |
optimal radiotherapy, reduced basis methods, a posteriori error estimation,
PN - methods, mixed variational formulation
|
| 429 |
August 2015 |
Eduard Bader, Martin A. Grepl, Siegfried Müller |
A Static Condensation Reduced Basis Element Approach for the Reynolds Lubrication Equation |
Reynolds lubrication equation, static condensation, domain decomposition, model order reduction, reduced basis element method, a posteriori error estimation |
| 428 |
August 2015 |
Michael Herty, Wen-An Yong |
Feedback boundary control of linear hyperbolic systems with relaxation |
Stabilisation, Hyperbolic relaxation systems, Lyapunov methods, Feedback boundary control |
| 427 |
June 2015 |
Kolja Brix, Yasemin Hafizogullari, Andreas Platen |
Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Ampère Equations |
inverse refractor problem, inverse reflector problem, elliptic Monge-Ampère equation, B-spline collocation method, Picard-type iteration |
| 426 |
June 2015 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Orthogonal Matching Pursuit under the Restricted Isometry Property |
orthogonal matching pursuit, best n term approximation, instance optimality, restricted isometry property |
| 425 |
June 2015 |
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
|
Data Assimilation in Reduced Modeling
|
optimal recovery, reduced modeling, greedy algorithms |
| 424 |
June 2015 |
Sven Groß, Thomas Ludescher, Maxim Olshanskii, Arnold Reusken |
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems |
Schur complement preconditioning, Stokes equations, interface problem, extended finite elements, stabilization
|
| 423 |
May 2015 |
Mike Espig, Wolfgang Hackbusch, Aram Khachatryan |
On the Convergence of Alternating Least Squares Optimisation in Tensor Format Representations |
tensor format, tensor representation, tensor network, alternating least squares optimisation, orthogonal projection method |
| 422 |
May 2015 |
Hamed Zakerzadeh |
On the Mach-Uniformity of Lagrange-Projection Scheme |
All-Mach number scheme, Lagrange-projection scheme, asymptotic preserving scheme, stability analysis |
| 421 |
March 2013 |
Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck |
Approximation of High-Dimensional Rank One Tensors |
query algorithms, high-dimensional approximation, separable functions, rate of approximation
|
| 420 |
March 2015 |
Matthias Kirchhart, Sven Groß, Arnold Reusken |
Analysis of an XFEM Discretization for Stokes Interface Problems |
Stokes equations, interface problem, extended finite element space, preconditioning, Schur complement |
| 419 |
March 2015 |
Jörg Grande |
Analysis of Highly Accurate Finite Element Based Algorithms For Computing Distances To Level Sets
|
finite elements, level sets, quasi-distance, gradient recovery, semismooth Newton method, convergence analysis
|
| 418 |
March 2015 |
Michael Herty |
Stabilisation of hyperbolic conservation laws using conservative finite-volume schemes
|
stabilisation, finite-volume schemes, Lyapunov methods, boundary control, hyperbolic conservation laws |
| 417 |
February 2015 |
Jochen Schütz, Klaus Kaiser |
A new stable splitting for singularly perturbed ODEs |
IMEX, splittings, van der Pol equation, stiff equations |
| 416 |
January 2015 |
Wolfgang Dahmen |
How to Best Sample a Solution Manifold? |
tight surrogates, stable variational formulations, saddle point problems, double greedy schemes, greedy stabilization, rate-optimality, transport equations, convection-diffusion equations
|
| 415 |
December 2014 |
Markus Bachmayr, Wolfgang Dahmen
|
Adaptive Low-Rank Methods for Problems on Sobolev Spaces with Error Control in L 2 |
low-rank tensor approximation, adaptive methods, high-dimensional elliptic problems, preconditioning, computational complexity
|
| 414 |
2014 |
Siegfried Müller, Maren Hantke, Pascal Richter |
Closure conditions for non-equilibrium multi-component models |
multi-component flows, entropy, relaxation, phase transition, closure conditions, hyperbolicity, subcharacteristic property, Galilean invariance |
| 413 |
December 2014 |
Christoph Lehrenfeld, Arnold Reusken |
Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport
|
two-phase flow, mass transport, XFEM, Nitsche method, space-time finite element method
|
| 412 |
November 2014 |
Mike Espig, Aram Khachatryan |
Convergence of Alternating Least Squares Optimisation for Rank-One Approximation to High Order Tensors |
tensor format, tensor representation, tensor network, alternating least squares optimisation, orthogonal projection method |
| 411 |
November 2014 |
Nils Gerhard , Daniel Caviedes-Voullième, Siegfried Müller, Georges Kesserwani
|
Multiwavelet-Based Grid Adaptation with Discontinuous Galerkin Schemes for Shallow Water Equations
|
grid adaptivity, multiresolution analysis, multiwavelets, discontinuous Galerkin, shallow water flows, positivity-preserving, well-balancing, limiters, shock detection
|
| 410 |
October 2014 |
Alexander Jaust, Jochen Schütz, Michael Woopen |
An HDG Method for unsteady compressible flows |
CFD, hybridized discontinuous Galerkin, shock-capturing |
| 409 |
October 2014 |
Ee Han, Maren Hantke, Siegfried Müller |
Modeling of multi-component flows with phase transition and application to collapsing bubbles |
multi-component fluids, non-equilibrium model, phase transition, relaxation process, bubble collapse |
| 408 |
October 2014 |
Louis Forestier-Coste, Simone Göttlich, Michael Herty |
Data-Fitted Second-Order Macroscopic Production Models |
production systems, system of conservation laws, data fitting |
| 407 |
August 2014 |
Dieter Armbruster, Michael Herty, Xinping Wang, Lindu Zhao |
Integrating Release and Dispatch Policies in Production Models Based on Clearing Functions
|
production planning, dispatch control, partial differential equations, reentrant production
|
| 406 |
August 2014 |
Christoph Lehrenfeld, Arnold Reusken |
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems |
ellitic interface problem, extended finite element space, XFEM, unfitted finite element method, Nitsche method, preconditioning, space decomposition |
| 405 |
July 2014 |
Michael Herty, Christian Ringhofer |
Large-Time Behavior of Averaged Kinetic Models on Networks |
network dynamics, kinetic theory, asymptotic analysis |
| 404 |
July 2014 |
Markus Bachmayr, Wolfgang Dahmen |
Adaptive Low-Rank Methods: Problems on Sobolev Spaces |
low-rank tensor approximation, adaptive methods, high-dimensional elliptic problems, preconditioning, computational complexity
|
| 403 |
July 2014 |
Jörg Grande, Arnold Reusken |
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces |
Laplace Beltrami equation, surface finite element method, high order, gradient recovery, error analysis |
| 402 |
July 2014 |
Mark Kärcher, Martin Grepl, Karen Veroy |
Certified Reduced Basis Methods for Parametrized Distributed Optimal Control Problems |
optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems,
partial differential equations, elliptic problems
|
| 401 |
July 2014 |
Mohammad Rasty, Martin Grepl |
A Certified Reduced Basis Method for Parametrized Quadratically Nonlinear Diffusion Equations |
reduced basis method, model order reduction, parametrized partial differential equations, a posteriori error estimation, nonlinear diffusion equation
|
| 400 |
July 2014 |
Wolfgang Dahmen, Ronald Devore, Lars Grasedyck, Endre Süli |
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations |
high-dimensional elliptic PDEs, tensor sparsity models, regularity theorems, exponential sums of operators, Dunford integrals, complexity bounds |
| 399 |
July 2014 |
Alexander Jaust, Jochen Schütz, Michael Woopen |
A Hybridized Discontinuous Galerkin Method for Unsteady Flows with Shock-Capturing |
hybridized discontinuous Galerkin, instationary convection-diffusion equations, shock-capturing, mesh adaptation
|
| 398 |
2014 |
Sven Groß, Maxim A. Olshanskii, Arnold Reusken |
A Trace Finite Element Method for a Class of Coupled Bulk-Interface Transport Problemes |
coupled bulk-surface problems, trace finite elements, surfactant transport |
| 397 |
June 2014 |
Michael Herty, Lena Michailidis, Marcus Ziegler |
Kinetic Part-Feeding Models for Assembly Lines in Automotive Industries |
network dynamics, kinetic theory, asymptotic analysis |
| 396 |
April 2014 |
Kolja Brix, Yasemin Hafizogullari, Andreas Platen |
Solving the Monge-Ampère Equations for the Inverse Reflector Problem |
inverse reflector problem, elliptic Monge-Ampère equation, B-spline collocation method, Picard-type iteration |
| 395 |
April 2014 |
Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller |
Effective Boundary Conditions for Compressible Flows over Rough Boundaries |
homogenization, Navier wall law, compressible flow, upscaling strategy, effective problem
|
| 394 |
April 2014 |
Michael Herty, Benedetto Piccoli |
Numerical Method for the Computation of Tangent Vectors to Hyperbolic Systems of Conservation Laws |
conservation laws, optimization, tangent vectors |
| 393 |
2014 |
Jutta Adelsberger, Patrick Esser, Michael Griebel, Sven Groß, Margit Klitz, Alexander Rüttgers |
3D Incompressible Two-Phase Flow Benchmark Computations for Rising Droplets |
two-phase flow, benchmark simulations, three-dimensional computations, parallel computing, rising droplets |
| 392 |
April 2014 |
Melanie Kluge |
Sampling Rules for Tensor Reconstruction in Hierarchical Tucker Format |
tensor completion, tensor approximation, tensor train |
| 391 |
April 2014 |
Hamed Zakerzadeh, Ulrik S. Fjordholm |
High-Order Accurate, Fully Discrete Entropy Stable Schemes for Scalar Conservation Laws |
conservation laws, entropy stable schemes, fully discrete schemes |
| 390 |
March 2014 |
Peter Gerds, Lars Grasedyck |
Solving an Elliptic PDE Eigenvalue Problem via Automated Multi-Level Substructuring and Hierarchical Matrices |
automated multi-level substructuring, hierarchical matrices, elliptic PDE eigenvalue problem |
| 389 |
March 2014 |
Georgij Bispen, Koottungal Revi Arun, Maria Lukáčová-Medviďová, Sebastian Noelle |
IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows |
low Froude number flows, asymptotic preserving schemes, shallow water equations, large time step, semi-implicit approximation, evolution Galerkin schemes
|
| 388 |
March 2014 |
Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper |
Efficient Resolution of Anisotropic Structures |
Shearlets, anisotropic meshes,
parametric transport equations,
Petrov-Galerkin formulations, δ-proximality,
high-dimensional problems, adaptivity,
reduced basis methods,
sparse tensor interpolation and approximation
|
| 387 |
March 2014 |
Arnold Reusken |
Analysis of Trace Finite Element Methods for Surface Partial Differential Equations
|
trace finite elements, error analysis, elliptic surface equation |
| 386 |
March 2014 |
Jörg Grande, Maxim A. Olshanskii, Arnold Reusken |
A Space-Time FEM for PDES on Evolving Surfaces |
evolving surface, diffusion, space-time finite elements, discontinuous Galerkin |
| 385 |
March 2014 |
Jonas Ballani, Lars Grasedyck |
Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs |
hierarchical Tucker, low rank tensor, SPDE, cross approximation, sampling |
| 384 |
March 2014 |
Carsten Gräser, Oliver Sander |
Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems |
multigrid, simplex constraints, phase-field models, convex minimization |
| 383 |
January 2014 |
Oliver Sander |
Substructuring Methods in Nonlinear Function Spaces |
substructuring, manifold-valued functions, Cosserat shells, Neumann-Neumann method |
| 382 |
January 2014 |
Sebastian Noelle, Jochen Schütz |
Flux Splitting: A Notion on Stability |
IMEX finite volume, asymptotic preserving, flux splitting, modified equation, stability analysis |
| 381 |
January 2014 |
Christian Windisch, Birgit Reinartz, Siegfried Müller |
Investigation of the Unsteady Edney Type IV and VII Shock–Shock Interaction |
Hypersonic flows, shock-shock interaction, grid adaptation, thermochemical nonequilibrium |
| 380 |
January 2014 |
Jörg Grande |
Finite Element Discretization Error Analysis of a General Interfacial Stress Functional |
two phase flow, variable interfacial tension, interfacial stress tensor, finite elements |
| 379 |
November 2013 |
Patrick Esser, Jörg Grande |
An Accurate and Robust Finite Element Level Set Redistancing Method |
level set method, redistancing, reinitialization |
| 378 |
October 2013 |
Kolja Brix, Claudio Canuto, Wolfgang Dahmen |
Legendre-Gauss-Lobatto Grids and Associated Nested Dyadic Grids |
Legendre-Gauss-Lobatto grid, dyadic grid, graded grid, nested grids |
| 377 |
October 2013 |
Christoph Lehrenfeld |
The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions |
finite elements, evolving surface, parabolic PDE, space-time, two-phase flow, computations, XFEM, 4D quadrature, discontinuous galerkin |
| 376 |
October 2013 |
Maxim A. Olshanskii, Arnold Reusken |
Error Analysis of a Space-Time Finite Element Method for Solving PDES on Evolving Surfaces |
evolving surface, space-time finite elements, discontinuous Galerkin |
| 375 |
September 2013 |
Nils Gerhard, Siegfried Müller |
Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws: Multi-Dimensional Case |
discontinuous Galerkin methods, grid adaptivity, multiwavelets, multiresolution analysis, conservation laws |
| 374 |
September 2013 |
Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller |
Numerical Simulation of Transpiration Cooling through Porous Material |
Transpiration cooling, porous media flow, Darcy-Forchheimer equation, coupled finite element - finite volume schemes |
| 373 |
September 2013 |
Michael Woopen, Georg May, Jochen Schütz |
Adjoint-Based Error Estimation and Mesh Adaptation for Hybridized Discontinuous Galerkin Methods |
discontinuous Galerkin methods, hybridization, mesh adaptation, adjoint-based error-estimation, compressible flow |
| 372 |
August 2013 |
Michael Woopen, Aravind Balan, Georg May, Jochen Schütz |
A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow |
discontinuous Galerkin methods, hybridization, hp-adaptation, adjoint-based error-estimation, compressible flow |
| 371 |
July 2013 |
Giacomo Albi, Michael Herty, Christian Jörres, Lorenzo Pareschi |
Asymptotic Preserving Time-Discretization of Optimal Control Problems for the Goldstein-Taylor Model |
IMEX Runge-Kutta methods, optimal boundary control, hyperbolic conservation laws, asymptotic analysis |
| 370 |
July 2013 |
Alexander Jaust, Jochen Schütz |
A Temporally Adaptive Hybridized Discontinuous Galerkin Method for Instationary Compressible Flows |
hybridized discontinuous Galerkin, embedded diagonally implicit Runge-Kutta methods, instationary convection-diffusion equations |
| 369 |
July 2013 |
Pierre Degond, Michael Herty, Jian-Guo Liu |
Flow on Sweeping Networks |
Master equation, cellular automata, pedestrian dynamics, networks |
| 368 |
June 2013 |
Jörn Thies Frings |
Viscous Sublayering for Shallow Water Flows |
multilayer flows, shallow water, approximate Riemann solvers, finite volume method, viscosity, friction |
| 367 |
June 2013 |
Jonas Ballani, Lars Grasedyck |
Tree Adaptive Approximation in the Hierarchical Tensor Format |
hierarchical tensor format, hierarchical Tucker format, tensor train, matrix product states, black box approximation, tree adaptivity |
| 366 |
June 2013 |
Jochen Schütz |
A Demonstration of the Advantage of Asymptotic Preserving Schemes over Standard Finite Volume Schemes |
conservation laws, asymptotic methods, finite volume methods, finite element methods |
| 365 |
May 2013 |
Philipp Grohs, Hanne Hardering, Oliver Sander |
Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements |
geodesic finite elements, discretization error, a priori bounds |
| 364 |
May 2013 |
Feng Zhou, Guoxian Chen, Sebastian Noelle, Huai-Cheng Guo |
A Well-Balanced Stable GRP Scheme for Adaptive Unstructured Triangular Meshes |
shallow water equations, generalized Riemann problem, adaptive unstructured meshes, well-balanced scheme, hydrodynamic process |
| 363 |
April 2013 |
Markus Bachmayr, Wolfgang Dahmen |
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations |
low-rank tensor approximation, adaptive methods, high-dimensional operator equations, computational complexity
|
| 362 |
April 2013 |
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu |
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces |
evolving surface, space-time finite element, discontinuous Galerkin |
| 361 |
April 2013 |
Mark Kärcher, Martin Grepl |
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems |
optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems, partial differential equations, parabolic problems |
| 360 |
April 2013 |
Jörg Grande |
Eulerian Finite Element Methods for Parabolic Equations on Moving Surfaces |
finite elements, evolving surface, parabolic PDE, space-time, two-phase flow, surfactant, computations
|
| 359 |
March 2013 |
Elias Pipping, Oliver Sander, Ralf Kornhuber |
Variational Formulation of Rate- and State-Dependent Friction Problems |
Continuum mechanics, frictional contact problems, gradient flows, finite elements |
| 358 |
March 2013 |
Heiko Berninger, Ralf Kornhuber, Oliver Sander |
A Multidomain Discretization of the Richards Equation in Layered Soil |
Richards equation, domain decomposition, layered soil, nonlinear discretization, robustness, surface water |
| 357 |
February 2013 |
Wolfgang Dahmen, Christian Plesken, Gerrit Welper |
Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems |
tight surrogates, stable variational formulations, saddle point problems, double greedy schemes, greedy stabilization, rate-optimality, transport equations, convection-diffusion equations.
|
| 356 |
January 2013 |
Oliver Sander |
Geodesic Finite Elements of Higher Order |
Geodesic finite elements, higher order, manifold, Riemannian center of mass, signed measure, liquid crystals, unit sphere
|
| 355 |
January 2013 |
Kolja Brix, Martin Campos Pinto, Claudio Canuto, Wolfgang Dahmen |
Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods Part I: Geometrically Conforming Meshes |
discontinuous Galerkin discretization for elliptic problems,
interior penalty method, locally refined meshes,
variable polynomial degrees, auxiliary space method,
Gauß–Lobatto grids, dyadic grids.
|
| 354 |
December 2012 |
Eva Loch |
Analysis of a Discontinuous Galerkin Method Applied to the Level Set Equation |
finite element, Discontinuous Galerkin, upwind flux, level set method |
| 353 |
December 2012 |
Kolja Brix, Claudio Canuto, Wolfgang Dahmen |
Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees |
multi-stage preconditioner, spectral discontinuous Galerkin method,
auxiliary space method, Legendre-Gauß-Lobatto grids
|
| 352 |
December 2012 |
Koottungal Revi Arun, Sebastian Noelle |
An Asymptotic Preserving Scheme for Low Froude Number Shallow Flows |
shallow water equations, low Froude number limit, stiffness, semi-implicit time discretisation, flux decomposition, asymptotic preserving schemes
|
| 351 |
December 2012 |
Koottungal Revi Arun, Guoxian Chen, Sebastian Noelle |
A Finite Volume Evolution Galerkin Scheme for Acoustic Waves in Heterogeneous Media |
heterogeneous media, acoustic waves, finite volume methods, evolution Galerkin scheme, hyperbolic conservation laws, bicharacteristics. |
| 350 |
December 2012 |
Jochen Schütz, Michael Woopen, Georg May |
A Combined Hybridized Discontinuous Galerkin / Hybrid Mixed Method for Viscous Conservation Laws |
hybridized discontinuous Galerkin method, hybrid mixed method, viscous conservation laws, time-discretization, backward difference schemes
|
| 349 |
October 2012 |
Heiko Berninger, Sébastien Loisel , Oliver Sander |
The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points |
Richards equation, 2-Lagrange-Multiplier method,cross points, domain decomposition, monotone multigrid, optimized Schwarz method
|
| 348 |
October 2012 |
Sebastian Noelle, Georgij Bispen, Koottungal Revi Arun, Maria Lukáčová-Medviďová, Claus-Dieter Munz |
An Asymptotic Preserving all Mach Number Scheme for the Euler Equations of Gas Dynamics - second revised version (October 2014) |
Euler equations of gas dynamics, low Mach number limit, stiffness, semi-implicit time discretisation,
flux decomposition, asymptotic preserving schemes.
|
| 347 |
October 2012 |
Maxim A. Olshanskii, Arnold Reusken and Xianmin Xu |
On Surface Meshes Induced by Level Set Functions |
surface finite elements, level set function, surface triangulation, maximum angle condition |
| 346 |
October 2012 |
Arnold Reusken |
A Finite Element Level Set Redistancing Method Based on Gradient Recovery |
level set method, reinitialization, redistancing, gradient recovery |
| 345 |
2017 |
Arnold Reusken, Yuanjun Zhang |
Numerical Simulation of Incompressible Two-Phase Flows with a Boussinesq-Scriven Interface Stress Tensor |
two-phase flow, viscous interface, Boussinesq-Scriven law |
| 344 |
August 2012 |
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu |
A Stabilized Finite Element Method for Advection-Diffusion Equations on Surfaces |
surface PDE, finite element method, transport equations, advection-diffusion equation, SUPG stabilization |
| 343 |
Juli 2012 |
Peter Binev, Albert Cohen, Wolfgang Dahmen and Ronald DeVore |
Classification Algorithms using Adaptive Partitioning
|
binary classification, adaptive methods, set estimators, tree based algorithms, analysis of risk
|
| 342 |
June 2012 |
Maxim A. Olshanskii, Arnold Reusken , Xianmin Xu |
A Volume Mesh Finite Element Method for PDEs on Surfaces |
surface finite element, surface SUPG stabilization, residual-type surface finite element error indicator |
| 341 |
May 2012 |
Mark Kärcher, Martin A. Grepl |
A Certified Reduced Basis Method for Parametrized Elliptic Optimal Control Problems |
optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems
|
| 340 |
April 2012 |
Christoph Lehrenfeld, Arnold Reusken |
Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems |
transport problem, Nitsche method, XFEM, DG space-time finite element method
|
| 338 |
March 2012 |
Jochen Schütz, Sebastian Noelle, Christina Steiner, Georg May |
A Note on Adjoint Error Estimation for One-Dimensional Stationary Conservation Laws with Shocks |
adjoint error control, conservation laws, discontinuities, interior boundary condition
|
| 337 |
March 2012 |
Markus Bachmayr |
Integration of Products of Gaussians and Wavelets with Applications to Electronic Structure Calculations |
wavelets, Gaussians, Coulomb potential, exponential sum approximation, sinc quadrature, trapezoidal rule |
| 336 |
February 2012 |
Jochen Schütz, Georg May |
An Adjoint Consistency Analysis for a Class of Hybrid Mixed Methods
|
hybrid mixed discretizations, hybridized discontinuous Galerkin discretizations, adjoint consistency, compressible Navier–Stokes equations
|
| 335 |
February 2012 |
Joachim Schöberl, Christoph Lehrenfeld |
Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes |
hybrid Discontinuous Galerkin methods, p-version finite elements, domain decomposition |
| 334 |
December 2011 |
Michael Rom, Karl-Heinz Brakhage |
Volume Mesh Generation for Numerical Flow Simulations Using Catmull-Clark and Surface Approximation Methods |
volume mesh generation, hexahedral meshes, Catmull-Clark subdivision, B-spline surfaces, surface approximation |
| 333 |
November 2011 |
Christoph Lehrenfeld, Arnold Reusken |
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem |
transport problem, Nitsche method, XFEM, streamline-diffusion stabilization |
| 332 |
November 2011 |
Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller, Roland Schäfer |
Adaptive Multiresolution Finite Volume Discretization of the Variational Multiscale Method. General Framework. |
Variational Multiscale Method, multiscale analysis, biorthogonal wavelets, finite volume scheme
|
| 331 |
October 2011 |
Wolfgang Dahmen, Thomas Gotzen , Silvia Sorana Melian-Flamand, Siegfried Müller |
Numerical Simulation of Cooling Gas Injection Using Adaptive Multiscale Techniques |
finite volume method, film cooling, cooling gas injection, multiscale techniques, grid adaptation |
| 330 |
September 2011 |
Jens L. Eftang, Martin A. Grepl, Anthony T. Patera, Einar M. Rønquist |
Approximation of Parametric Derivatives by the Empirical Interpolation Method |
function approximation; a priori convergence; Empirical Interpolation Method; parametric derivatives; sensitivity derivatives |
| 329 |
August 2011 |
Lars Grasedyck, Wolfgang Hackbusch |
An Introduction to Hierachical (H-) Rank and TT-Rank of Tensors with Examples |
hierarchical Tucker, tensor rank, tensor approximation, tensor train |
| 328 |
June 2011 |
Martin A. Grepl, Karen Veroy |
A Level Set Reduced Basis Approach to Parameter Estimation |
reduces basis methods, parameter dependence, partial differential equations, level set methods, parameter estimation |
| 327 |
June 2011 |
Arnold Reusken, Patrick Esser |
Analysis of Time Discretization Methods for a Two-Phase Stokes Equation with Surface Tension |
two-phase flow, surface tension, time discretization, Crank-Nicolson method
|
| 326 |
May 2011 |
Martin A. Grepl |
Certified Reduced Basis Methods for Nonaffine Linear Time-Varying Partial Differential Equations |
Reduced basis methods, parabolic PDEs, parameter-dependent systems, a posteriori error estimation, time-varying problems
|
| 325 |
May 2011 |
Martin A. Grepl, Mark Kärcher |
Reduced Basis a Posteriori Error Bounds for Parametrized Linear-Quadratic Elliptic Optimal Control Problems |
Optimal control, partial differential equations, model reduction, a posteriori error estimation, reduced basis methods |
| 324 |
April 2011 |
Dirk Klindworth, Martin A. Grepl, Georg Vossen |
Certified Reduced Basis Methods for Parametrized Parabolic Partial Differential Equations with Non-Affine Source Terms |
Reduced basis methods, parabolic PDEs,
non-affine parameter dependence, a posteriori
error estimation, empirical interpolation method,
welding process
|
| 323 |
February 2011 |
Albert Cohen, Wolfgang Dahmen, Gerrit Welper |
Adaptivity and Variational Stabilization for Convection-Diffusion Equations |
variational problems, adaptivity, a–posteriori error estimators, stabilization |
| 322 |
February 2011 |
Martin A. Grepl |
Model Order Reduction of Parametrized Nonlinear Reaction-Diffusion Systems |
reaction-diffusion equation, model order reduction, reduced basis approximation, empirical interpolation method, nonlinar systems |
| 321 |
January 2011 |
Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper |
Adaptive Petrov-Galerkin Methods for First Order Transport Equations |
Linear transport problems, L2-stable Petrov-Galerkin formulations, trace theorems, δ-proximality, adaptive refinement schemes, residual approximation, error reduction
|
| 320 |
January 2011 |
Lars Grasedyck, Isabelle Greff, Stefan Sauter |
The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media |
Elliptic problem, heterogeneous media, Green’s function, generalized finite elements |
| 319 |
June 2011 |
Arnold Reusken, Eva Loch |
On the Accuracy of the Level Set SUPG Method for Approximating Interfaces |
finite element, streamline diffusion stabilization,
streamline-upwind Petrov-Galerkin,
level set method, mass conservation
|
| 318 |
June 2010 |
Christina Steiner, Sebastian Noelle |
On Adaptive Timestepping for Weakly Instationary Solutions of Hyperbolic Conservation Laws Via Adjoint Error Control |
hyperbolic conservation laws;weakly instationary solutions;adaptive timestepping;adjoint error control |
| 317 |
December 2010 |
Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Philipp Lamby, Robert Sharpley, Thomas Vogt |
High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM) |
|
| 316 |
December 2010 |
Peter Binev, Wolfgang Dahmen, Ronald DeVore, Philipp Lamby, Daniel Savu, Robert Sharpley |
Compressed Sensing and Electron Microscopy |
Compressed sensing, electron microscopy, sparsity,
optimal encoding and decoding
|
| 315 |
December 2010 |
Yulong Xing, Chi-Wang Shu, Sebastian Noelle |
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations
|
Shallow water equation, still water,
moving water equilibrium, high order accuracy,
well balanced scheme.
|
| 314 |
December 2010 |
Manuel Castro, Jörn Thies Frings, Sebastian Noelle, Carlos Pares, Gabriella Puppo |
On the Hyperbolicity of Two- and Three-Layer Shallow Water Equations |
Multi-layer shallow water equations,
Kelvin-Helmholtz instability,
adaptive choice of layers
|
| 313 |
October 2010 |
Andreas Bollermann, Guoxian Chen, Alexander Kurganov, Sebastian Noelle |
A Well-Balanced Reconstruction of Wet /Dry Fronts for the Shallow Water Equations - revised version - (19. Dezember 2012) |
|
| 312 |
October 2010 |
Jonas Ballani, Lars Grasedyck, Melanie Kluge |
Black Box Approximation of Tensors in Hierarchical Tucker Format |
hierarchical Tucker, tensor rank, tensor approximation,
tensor train, cross approximation
|
| 311 |
September 2010 |
Nune Hovhannisyan, Siegfried Müller, Roland Schäfer |
Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws |
conservation laws, discontinuous Galerkin schemes, grid adaptation, multiwavlets |
| 310 |
May 2010 |
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk |
Convergence Rates for Greedy Algorithms in Reduced Basis Methods |
Parameter dependent elliptic PFEs, reduced basis,
greedy algorithm, weak greedy algorithm,
Kolmogorov widths, convergence rates
|
| 309 |
April 2010 |
Jonas Ballani, Lars Grasedyck |
A Projection Method to Solve Linear Systems in Tensor Format |
Low rank, Tucker, hierarchical Tucker,
Kronecker-product matrix
|
| 308 |
April 2010 |
Lars Grasedyck |
Polynomial Approximation in Hierarchical Tucker Format by Vector-Tensorization |
hierarchical Tucker, tensorization, tensor rank, tensor approximation, tensor train, TT |
| 307 |
April 2010 |
Peter Binev, Wolfgang Dahmen, Philipp Lamby |
Fast High-Dimensional Approximation with Sparse Occupancy Trees |
high-dimensional approximation,
non-parametric regression, non-linear approximation,
multiresolution tree
|
| 306 |
March 2010 |
Martin A. Grepl |
A Posteriori Error Bounds for Reduced Basis Approximations of Nonaffine and Nonlinear Parabolic Partial Differential Equations |
Reduced basis methods, parabolic PDEs,
parameter-dependent systems, nonlinear PDEs,
nonaffine parameter dependence,
a posteriori error estimation, Galerkin approximation
|
| 305 |
February 2010 |
Andreas Bollermann, Sebastian Noelle, Maria Lukáčová-Medviďová |
Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
|
Well-balanced schemes, dry boundaries,
shallow water equations, evolution Galerkin schemes,
source terms
|
| 304 |
November 2009 |
Alain Plattner, Hans-Rudolf Maurer, Jürgen Vorloeper, Wolfgang Dahmen |
Three-Dimensional Geoelectric Modelling with Optimal Work/Accuracy Rate Using an Adaptive Wavelet Algorithm |
Numerical solutions, wavelet transform,
numerical approximations and analysis,
non-linear differential equations,
electrical properties
|
| 303 |
September 2009 |
Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Robert Sharpley, Tom Vogt |
Super-Resolution Image Reconstruction by Nonlocal Means applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM) |
high resolution imaging for STEM,
iterated nonlocal means
|
| 302 |
July 2009 |
Kolja Brix, Ralf Massjung, Alexander Voß |
A Hash Data Structure for Adaptive PDE-Solvers Based on Discontinuous Galerkin Discretizations |
discontinuous Galerkin method, adaptive method,
multilevel method, pointerless data structures,
neighboring algorithm.
|
| 301 |
June 2009 |
Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser |
Adaptive Eigenvalue Computation for Elliptic Operators |
elliptic eigenvalue equations, preconditioned inverse iteration, adaptive algorithm |
| 300 |
May 2009 |
Ralf Massjung |
An hp-Error Estimate for an Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems |
elliptic interface problems, Discontinuous Galerkin Method, hp-error estimate |
| 299 |
April 2009 |
Kolja Brix, Sorana Mogosan, Siegfried Müller, Gero Schieffer |
Parallelisation of Multiscale-Based Grid Adaptation Using Space-Filling Curves |
finite volume schemes, multiscale-based grid adaptation, parallelisation, load-balancing, space-filling curves |
| 298 |
March 2009 |
Arnold Reusken, Trung Hieu Nguyen |
Nitsche's Method for a Transport Problem in Two-Phase Incompressible Flows
|
Nitsche’s method, interface problem, extended finite elements, two-phase flows,
|
| 297 |
January 2009 |
Bernhard Pollul, Arnold Reusken |
Iterative Solvers for Discretized Stationary Euler Equations |
|
| 296 |
October 2009 |
Josef Ballmann, Marek Behr, Kolja Brix, Wolfgang Dahmen, Christoph Hohn, Ralf Massjung, Sorana Melian, Siegfried Müller, Gero Schieffer |
Parallel and Adaptive Methods for Fluid-Structure-Interactions |
Multiscale-based grid adaptation, parallelisation,
load-balancing, space-filling curves,
fluid-structure coupling
|
| 295 |
August 2009 |
Christina Steiner, Sebastian Noelle |
Timestep Control for Weakly Instationary Flows |
Hyperbolic conservation laws, weakly nonstationary
solutions, adaptive timestepping, adjoint error control,
Euler equations
|
| 294 |
May 2009 |
Karl-Heinz Brakhage, Wolfgang Dahmen, Philipp Lamby |
A Unified Approach to the Modeling of Airplane Wings and Numerical Grid Generation Using B-Spline Representations |
B–splines, approximation, fairing, offset curves,
grid generation
|
| 293 |
January 2009 |
Wolfgang Dahmen, Nune Hovhannisyan, Siegfried Müller |
Adaptive Multiscale Methods for Flow Problems: Recent Developments |
|
| 292 |
March 2009 |
Christina Steiner, Siegfried Müller, Sebastian Noelle |
Adaptive Timestep Control for Instationary Solutions of the Euler Equations |
compressible Euler equations, weakly instationary flows, adaptive time-stepping,
adjoint error analysis, multiscale analysis.
|
| 291 |
December 2008 |
Patrick Esser, Jörg Grande, Arnold Reusken |
An Extended Finite Element Method Applied to Levitated Droplet Problems |
finite element, surface tension, spurious velocities, level set method, two-phase flow
|
| 290 |
December 2008 |
Arnold Reusken |
Introduction to Multigrid Methods for Elliptic Boundary Value Problems |
|
| 289 |
November 2008 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Instance Optimal Decoding by Thresholding in Compressed Sensing |
Compressed sensing, best k-term approximation,
instance optimal decoders, thresholding,
noisy measurements,
random matrices.
|
| 288 |
October 2008 |
Frank Dieter Bramkamp, Bernhard Pollul, Arno Rasch, Gero Schieffer |
Matrix-Free Second-Order Methods in Implicit Time Integration for Compressible Flows Using Automatic Differentiation |
Matrix-free methods, Newton-Krylov, Automatic differentiation, QUADFLOW, ADIFOR
|
| 287 |
October 2008 |
Maxim A. Olshanskii, Arnold Reusken |
A Finite Element Method for Surface PDES: Matrix Properties |
surface, interface, finite element, level set method, two-phase flow
|
| 286 |
March 2008 |
Maxim A. Olshanskii, Arnold Reusken, Jörg Grande |
An Eulerian Finite Element Method for Elliptic Equations on Moving Surfaces |
surface, interface, finite element, level set method, two-phase flow, Marangoni
|
| 285 |
July 2008 |
Siegfried Müller, Mathieu Bachmann, Dennis Kröninger, Thomas Kurz, Philippe Helluy |
Comparison and Validation of Compressible Flow Simulations of Laser-Induced Cavitation Bubbles |
spherical bubble collapse, stiffened gas model, ghost fluid method
|
| 284 |
January 2008 |
Nune Hovhannisyan, Siegfried Müller |
On the Stability of Fully Adaptive Multiscale Schemes for Conservation Laws Using Approximate Flux and Source Reconstruction Strategies |
conservation laws, finite volume schemes, grid adaption, biorthogonal wavelets |
| 283 |
November 2007 |
Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser |
Adaptive Eigenvalue Computation - Complexity Estimates |
adaptive eigenvalue solver, preconditioned infinite dimensional problem,
Richardson iteration, convergence rates, complexity estimates
|
| 282 |
November 2007 |
Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen |
Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II Quantitative Studies |
interior penalty method, energy-stable splittings, admissible averaging operators,
frames, multilevel Schwarz preconditioners, discontinuous Galerkin methods
|
| 281 |
October 2007 |
Arnold Reusken |
Analysis of an Extended Pressure Finite Element Space for Two-Phase Incompressible Flows |
extended finite element space, two-phase flow, surface tension, spurious velocities
|
| 280 |
October 2007 |
Steffen Börm |
Approximation of Solution Operators of Elliptic Partial Differential Equations by H- and H2-Matrices |
Hierarchical matrices, data-sparse approximation,
finite element methods, elliptic partial differential equations
|
| 279 |
October 2007 |
Steffen Börm |
Construction of Data-Sparse H2-Matrices by Hierarchical Compression |
hierarchical matrices, data-sparse approximation, non-local operators
|
| 278 |
January 2007 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
A Taste of Compressed Sensing |
compressed sensing, best k-term approximation, instance optimality in
probability, efficient decoding, orthogonal matching pursuit.
|
| 277 |
July 2007 |
Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen |
A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method |
interior penalty method, energy-stable splittings, admissible averaging operators, frames,
multilevel Schwarz preconditioners, discontinuous Galerkin methods
|
| 276 |
July 2007 |
Maka Karalashvili, Sven Groß Adel Mhamdi, Arnold Reusken, Wolfgang Marquardt |
Incremental Identification of Transport Phenomena in Convection-Diffusion Systems |
modeling, transport phenomena, convection-diffusion equation, inverse problem,
regularization, conjugate gradient method, identification
|
| 275 |
February 2007 |
Michel Speetjens, Arnold Reusken, Stanislaus Maier-Paape, Wolfgang Marquardt |
Stability Analysis of Two-Dimensional Pool-Boiling Systems |
pool boiling, stability, bifurcation analysis, numerical simulation
|
| 274 |
February 2007 |
Normann Pankratz, Jostein R. Natvig, Björn Gjevik, Sebastian Noelle |
High-Order Well-Balanced Finite-Volume Schemes for Barotropic Flows Development and Numerical Comparisons |
|
| 273 |
February 2007 |
Siegfried Müller, Philippe Helluy, Josef Ballmann |
Numerical Simulation of Cavitation Bubbles by Compressible Two-Phase Fluids |
|
| 272 |
February 2007 |
Maxim Larin, Arnold Reusken |
A Comparative Study of Efficient Iterative Solvers for Generalized Stokes Equations |
generalized Stokes problem, preconditioned MINRES, inexact Uzawa method,
multigrid methods, Vanka and Braess-Sarazin smoothers
|
| 271 |
January 2007 |
A. Cohen, W. Dahmen, R. DeVore |
Near Optimal Approximation of Arbitrary Vectors from Highly Incomplete Measurements
|
|
| 270 |
January 2007 |
Sebastian Noelle, Yulong Xing, Chi-Wang Shu |
High Order Well-Balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water |
shallow water equation, moving water equilibria, high order upwind finite
volume scheme, well-balanced scheme
|
| 269 |
January 2007 |
Wolfgang Dahmen, Shai Dekel, Pencho Petrushev |
Two-Level-Split Decomposition of Anisotropic Besov Spaces |
Multilevel ellipsoid covers, homogeneous spaces, anisotropic Besov spaces, two-level-split bases, nonlinear approximation
|
| 268 |
December 2006 |
Alexander Voß |
Notes on Adaptive Grids in 2D and 3D Part I: Navigating through Cell Hierarchies using Cell Identifiers |
Data structure, adaptive grid, hybrid grid, cell enumeration strategy |
| 267 |
December 2006 |
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Universal Piecewise Polynomial Estimators for Machine Learning |
Regression, universal piecewise polynomial estimators, complexity regularization, optimal convergence rates in probability, adaptive partitioning, thresholding
|
| 266 |
December 2006 |
Arnold Reusken, Marcus Soemers |
On the Robustness of a Multigrid Method for Anisotropic Reaction-Diffusion Problems |
anisotropic reaction-diffusion problem, robust multigrid method
|
| 265 |
March 2006 |
Wolfgang Dahmen, Shai Dekel, Pencho Petrushev |
Multilevel Preconditioning for Partition of Unity Methods - Some Analytic Concepts |
Multilevel partition of unity methods, two-level splits, multilevel expansions,
additive Schwarz preconditioner, smoothness spaces, local linear independence, stability,
Besov spaces
|
| 264 |
September 2006 |
Sven Groß, Arnold Reusken |
An Extended Pressure Finite Element Space for Two-Phase Incompressible Flows with Surface Tension |
pressure finite element space, two-phase flow, surface tension, spurious velocities
|
| 263 |
August 2006 |
Michel Speetjens, Arnold Reusken, Wolfgang Marquardt |
Steady-State Solutions in a Three-Dimensional Nonlinear Pool-Boiling Heat-Transfer Model |
pool boiling, nonlinear heat transfer, bifurcations, numerical simulation
|
| 262 |
August 2006 |
Sven Groß, Arnold Reusken |
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows |
two-phase flow, continuum surface force technique, interface, Laplace–Beltrami operator, finite elements |
| 261 |
August 2006 |
H. Martin Bücker, Bernhard Pollul, Arno Rasch |
On CFL Evolution Strategies for Implicit Upwind Methods in Linearized Euler Equations |
CFL number, implicit upwind methods, Euler equations, sensitivity analysis, automaticdifferentiation, QUADFLOW, ADIFOR |
| 260 |
July 2006 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Compressed Sensing and Best k-Term Approximation |
Compressed sensing, best k-term approximation, instance optimality, instance optimality in probability, restricted isometry property, null space property, mixed norm estimates
|
| 259 |
June 2006 |
Maria Lukáčová-Medviďová, Sebastian Noelle, Marcus Kraft |
Well-Balanced Finite Volume Evolution Galerkin Methods for the Shallow Water Equations |
well-balanced schemes, steady states, systems of hyperbolic balance laws,
shallow water equations, geostrophic balance, evolution Galerkin schemes
|
| 258 |
March 2006 |
Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper |
Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation |
|
| 257 |
March 2006 |
Andrew Barron, Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Approximation and Learning by Greedy Algorithms |
Orthogonal, relaxed greedy algorithm, convergence estimates for a scale of
interpolation spaces, universal consistency, applications to learning, neural networks
|
| 256 |
March 2006 |
Michel Speetjens, Arnold Reusken, Wolfgang Marquardt |
Steady-State Solutions in a Nonlinear Pool Boiling Model |
pool boiling, nonlinear heat transfer, bifurcation analysis, numerical simulation
|
| 255 |
March 2006 |
Bernhard Pollul, Arnold Reusken |
Numbering Techniques for Preconditioners in Iterative Solvers for Compressible Flows |
Euler equations, Krylov subspace methods, preconditioning, ordering algorithms
|
| 254 |
December 2005 |
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Universal Algorithms for Learning Theory Part II: Piecewise Polynomial Functions |
Regression, universal piecewise polynomial estimators, optimal convergence
rates in probability, adaptive partitioning, thresholding on-line updates
|
| 253 |
October 2005 |
Wolfgang Dahmen, Markus Jürgens |
Error Controlled Regularization by Projection |
inverse problems, Dunford integrals, quadrature, Tikhonov method, projection methods, truncated SVD expansion, adaptive wavelet methods
|
| 252 |
September 2005 |
Maxim A. Olshanskii, Jörg Peters, Arnold Reusken |
Uniform Preconditioners for a Parameter Dependent Saddle Point Problem with Application to Generalized Stokes Interface Equations |
generalized Stokes equations, interface problem, two-phase flow, preconditioning,
Schur complement
|
| 251 |
May 2005 |
Sebastian Noelle, Normann Pankratz, Gabriella Puppo, Jostein R. Natvig |
Well-Balanced Finite Volume Schemes of Arbitrary Order of Accuracy for Shallow Water Flows |
hyperbolic conservation laws, source terms, shallow water equations, well-balanced schemes, finite volume schemes, WENO reconstruction |
| 250 |
March 2005 |
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider |
Adaptive Methods for Boundary Integral Equations - Complexity and Convergence Estimates |
Boundary integral equations, adaptive wavelet scheme, best N-term approximation, compressible matrices, adaptive hp-quadrature, complexity and convergence estimates |
| 249 |
February 20052017 |
Mario S. Mommer |
A Smoothness Preserving Fictitious Domain Method for Elliptic Boundary Value Problems |
boundary value problems, fictitious domain methods, convergence
rates, wavelets |
| 248 |
October 2004 |
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Vladimir Temlyakov |
Universal Algorithms for Learning Theory Part I: Piecewise Constant Functions |
Regression, universal estimators, optimal convergence rates in probability,
adaptive partitioning, on-line updates
|
| 247 |
2017 |
Bernhard Pollul, Arnold Reusken |
Preconditioners for Linearized Discrete Compressible Euler Equations |
Euler equations, Krylov subspace methods, point-block preconditioners |
| 246 |
July 2004 |
Philipp Lamby, Siegfried Müller, Youssef Stiriba |
Solution of Shallow Water Equations Using Fully Adaptive Multiscale Schemes |
shallow water equations, multiscale techniques, local grid refinement, finite volume methods |
| 245 |
July 2004 |
Peter Binev, Wolfgang Dahmen, Ronald DeVore, Nira Dyn |
Adaptive Approximation of Curves |
polygonal approximation of planar curves, adaptive multiscale refinement, maximal functions, convergence rates, encoding
|
| 244 |
August 2004 |
Arne Barinka, Wolfgang Dahmen, Reinhold Schneider |
Fast Computation of Adaptive Wavelet Expansions (extended version) |
Tree approximation, local multiscale transforms, adaptive wavelet schemes, quadrature, dual norms, error estimates |
| 243 |
May 2004 |
Sven Groß, Volker Reichelt, Arnold Reusken |
A Finite Element Based Level Set Method for Two-Phase Incompressible Flows |
|
| 242 |
February 2004 |
Martin Campos-Pinto, Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
On the Stability of Nonlinear Conservation Laws in the Hausdorff Metric |
Conservation laws, Hausdorff metric, stability, one sided Lipschitz, perturbation of fluxes |
| 241 |
March 2004 |
Jörg Peters, Volker Reichelt, Arnold Reusken |
Fast Iterative Solvers for Discrete Stokes Equations
|
Stokes equations, inexact Uzawa methods, preconditioned MINRES, multigrid
|
| 240 |
March 2004 |
Wolfgang Dahmen, Pencho Petrushev |
"Push-the-Error'' Algorithm for Nonlinear N-Term Approximation |
uniform norm approximation, multilevel expansions, wavelet bases, best n-term approximation |
| 239 |
March 2004 |
Maxim A. Olshanskii, Arnold Reusken |
A Stokes Interface Problem: Stability, Finite Element Analysis and a Robust Solver |
Stokes equations, interface problem, two-phase flows, finite elements, preconditioning
|
| 238 |
April 2004 |
Siegfried Müller, Youssef Stiriba |
Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping |
multiscale techniques, local grid refinement, locally varying time stepping, finite volume schemes, conservation laws |
| 237 |
February 2004 |
Maxim A. Olshanskii, Arnold Reusken |
Analysis of a Stokes Interface Problem |
Stokes equations, interface problem, infsup condition, finite elements, preconditioning, Schur complement
|
| 236 |
October 2003 |
Arne Barinka, Stephan Dahlke, Wolfgang Dahmen |
Adaptive Application of Operators in Standard Representation |
operator equations, quasi sparse matrices and vectors, best N-term approximation, fast matrix/vector multiplication
|
| 235 |
December 2003 |
Frank Bramkamp, Philipp Lamby, Siegfried Müller |
An Adaptive Multiscale Finite Volume Solver Unsteady and Steady State Flow Computations |
|
| 234 |
November 2003 |
Sigrid Andreae, Josef Ballmann, Siegfried Müller |
Wave Processes at Interfaces |
|
| 233 |
October 2003 |
Wolfgang Dahmen, Siegfried Müller, Alexander Voß |
Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions |
|
| 231 |
June 2003 |
Maxim A. Olshanskii, Arnold Reusken |
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem |
multigrid, streamline diffusion, convection-diffusion
|
| 230 |
June 2003 |
Mario S. Mommer |
Fictitious Domain-Lagrange Multiplier Approach: Smoothness Analysis |
Lagrange multipliers, boundary conditions, convergence rates, fictitious domains |
| 229 |
May 2003 |
Tim Kröger, Sebastian Noelle |
Numerical Comparison of the Method of Transport to a Standard Scheme revised version (2004/1/8) |
multidimensional systems of hyperbolic conservation laws,
Fey’s Method of Transport (MoT), HLL scheme, numerical comparison
|
| 228 |
May 2003 |
Tim Kröger, Sebastian Noelle, Susanne Zimmermann |
On the Connection between some Riemann-Solver Free Approaches to the Approximation of Multi-Dimensional Systems of Hyperbolic Conservation Laws |
systems of conservation laws, Fey's Method of Transport, Euler equations, Boltzmann equation, kinetic schemes, bicharacteristic theory, state
decompositions, decompositions, exact and approximate evolution operators,
quadrature rules |
| 227 |
April 2003 |
Sven Groß, Arnold Reusken |
Parallel Multilevel Tetrahedral Grid Refinement |
tetrahedral grid refinement, parallelization, stable refinement, consistent triangulations |
| 226 |
January 2003 |
Ralf Massjung |
Discretization and Algorithms for Strong Coupling in Computational Aeroelasticity |
|
| 225 |
December 2002 |
Peter Binev, Wolfgang Dahmen, Ronald DeVore, Pencho Petrushev |
Approximation Classes for Adaptive Methods |
adaptive finite element methods, adaptive approximation, n-term approximation, degree of approximation, approximation classes, Besov spaces
|
| 224 |
December 2002 |
Wolfgang Dahmen, Angela Kunoth |
Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates |
Optimal control, elliptic boundary value problem, wavelets, infinite l2-system, preconditioning, adaptive refinements, inexact iterations, convergence, convergence rates, optimal complexity |
| 223 |
November 2002 |
Maxim A. Olshanskii, Arnold Reusken |
Convergence Analysis of a Multigrid Solver for a Finite Element Method Applied to Convection-Diffusion Problems |
multigrid, streamline diffusion, convection-diffusion |
| 222 |
July 2002 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Sparse Evaluation of Compositions of Functions Using Multiscale Expansions |
nonlinear mappings, thresholding, tree structures, adaptive evaluation of nonlinear operators |
| 221 |
2017 |
Albert Cohen, Wolfgang Dahmen, Ronald DeVore |
Adaptive Wavelet Schemes for Nonlinear Variational Problems |
Variational problems, wavelet representations, semilinear equations, mapping properties, gradient iteration, convergence rates, adaptive application of operators, sparse evaluation of nonlinear mappings of wavelet expansions, tree approximation, Newton's scheme. |
| 220 |
July 2017 |
Sigrid Andreae, Josef Ballmann, Siegfried Müller, Alexander Voß |
Dynamics of Collapsing Bubbles Near Walls |
|
| 219 |
June 2002 |
Peter Binev, Wolfgang Dahmen, Ronald DeVore |
Adaptive Finite Element Methods with Convergence Rates |
elliptic equations, finite element methods, adaptive refinements, rates of convergence, nonlinear approximation |
| 218 |
June 2002 |
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider |
Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates |
Wavelets, norm equivalences, multilevel preconditioning, first and second compression, a-posteriori compression, asymptotic complexity estimates |
| 217 |
June 2002 |
Sebastian Noelle , Michael Westdickenberg |
Convergence of Approximate Solutions of Conservation Laws |
|
| 216 |
June 2002 |
Maxim Larin |
On a Multigrid Method for Solving Partial Eigenproblems |
multigrid methods, eigenvalue problems, sparse matrices |
| 215 |
May 2002 |
Wolfgang Dahmen, Jürgen Vorloeper, Karsten Urban |
Adaptive Wavelet Methods Basic Concepts and Applications to the Stokes Problem |
Variational problems, saddle point problems, wavelet bases, adaptive application of operators, Stokes equations, convergence estimates |
| 214 |
April 2002 |
Wolfgang Dahmen, Torben Klint, Karsten Urban |
On Fictitious Domain Formulations for Maxwell's Equations |
Maxwell's equations, fictitious domain method, saddle point problems, Lagrange multipliers |
| 213 |
May 2002 |
Arnold Reusken |
Convergence Analysis of the Gauss-Seidel Method for Discretized One Dimensional Euler Equations |
Gauss-Seidel method, Euler equations, convergence analysis |
| 212 |
April 2002 |
Philipp Birken |
Preconditioning GMRES for Steady Compressible Inviscid Flows |
|
| 211 |
February 2002 |
Sven Groß, Jörg Peters, Volker Reichelt, Arnold Reusken |
The DROPS Package for Numerical Simulations of Incompressible Flows Using Parallel Adaptive Multigrid Techniques |
|
| 210 |
January 2002 |
Knut-Andreas Lie, Sebastian Noelle |
On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws |
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