Dr. Christoph Lehrenfeld

Member of the DFG priority program SPP 1506
Numerical methods for PDEs
fluid dynamics, two-phase flows, interface problems
Finite Elements, (Hybrid) Discontinuous Galerkin methods, eXtended Finite Elements, Space-Time Finite Elements
software development (ngsflow, DROPS package)

Christoph Lehrenfeld, Arnold Reusken, Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport ,
to appear in Computational Methods for Complex Liquid-Fluid Interfaces - Vol. 7 of "Progress in Colloid and Interface Science" (Taylor&Francis) preprint: [pdf]
Christoph Lehrenfeld, Arnold Reusken, Optimal preconditioners for Nitsche-XFEM discretizations of interface problems ,
submitted to Numerische Mathematik, arxiv:1408.2940, preprint: [pdf]

Christoph Lehrenfeld: The Nitsche XFEM-DG space-time method and its implementation in three space dimensions ,
Published in: SIAM Journal on Scientific Computing, 2015, Vol. 37, No. 1 : pp. A245-A270, DOI: 10.1137/130943534, preprint: [ps.gz] [pdf]
Holger Marschall, Stephan Boden, Christoph Lehrenfeld, Carlos J. Falconi Delgado, Uwe Hampel, Arnold Reusken, Martin Woerner, Dieter Bothe: Validation of Interface Capturing and Tracking Techniques with different Surface Tension Treatments against a Taylor Bubble Benchmark problem ,
Published in: Computers & Fluids (2014), DOI: 10.1137/120875260, preprint: [pdf]
Christoph Lehrenfeld, Arnold Reusken: Analysis of a DG-XFEM Discretization for a class of two-phase mass transport problems ,
Published in: SIAM Journal on Numerical Analysis, 2013, Vol. 51, No. 2 : pp. 958–983, DOI: 10.1137/120875260, preprint: [ps.gz] [pdf]
Christoph Lehrenfeld, Arnold Reusken: Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem ,
Published in: SIAM Journal on Scientific Computing, 2012, Vol. 34, No. 5 : pp. A2740-A2759, DOI: 10.1137/110855235, preprint: [ps.gz] [pdf]

Joachim Schöberl , Christoph Lehrenfeld: Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes ,
Published in: Lecture Notes in Applied and Computational Mechanics, 2013, Volume 66, Advanced Finite Element Methods and Applications, pp. 27-56. DOI: 10.1007/978-3-642-30316-6_2, preprint: [ps.gz] [pdf]
Christoph Koutschan, Christoph Lehrenfeld, Joachim Schöberl : Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations ,
Published in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer, Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, arxiv:1104.4208. preprint: [pdf] [bib]

Sebastian Aland, Christoph Lehrenfeld, Holger Marschall, Christoph Meyer: Stephan Weller: Accuracy of two-phase flow simulations: The Taylor Flow benchmark,
Published in: Proceedings in Applied Mathematics and Mechanics (PAMM) 2013, Volume 13, pp. 595-598. DOI: 10.1002/pamm.201310278. [pdf]
Christoph Lehrenfeld: Nitsche-XFEM for a transport problem in two-phase incompressible flows ,
Published in: Proceedings in Applied Mathematics and Mechanics (PAMM) 2011, Volume 11, pp. 613-614. DOI: 10.1002/pamm.201110296. [pdf]

Christoph Lehrenfeld: Hybrid Discontinuous Galerkin methods for incompressible flow problems. diploma thesis, MathCCES/IGPM, RWTH Aachen, 2010. [pdf]

Christoph Lehrenfeld: Two-Phase Flow Benchmark Computations using Level-Set based FEM
Presented at GAMM 2013, Novi Sad, Serbia, March 19, 2013.
Christoph Lehrenfeld, Joachim Schöberl : Domain Decomposition Preconditioners for High Order Hybrid Discontinuous Galerkin Methods
Presented at DD21, Rennes, France, June 27, 2012. [pdf]
Christoph Lehrenfeld, Arnold Reusken: Streamline Diffusion Stabilisation for mass transport in two phase incompressible flows
Presented at International Workshop: Transport Processes at Fluidic Interfaces - from Experimental to Mathematical Analysis, Aachen, Germany, December 7, 2011. [pdf]
(video 1: [avi] , video 2: [avi] )
Christoph Lehrenfeld, Arnold Reusken: Nitsche-XFEM for a transport problem in two-phase incompressible flows
Presented at GAMM 2011, Graz, Austria, April 20, 2011.
Christoph Lehrenfeld, Joachim Schöberl : Efficient High Order DG Method for Time-domain Maxwells Equations
Presented at MAFELAP 2009, London, Great Britain, June 11, 2009. [pdf]

Christoph Lehrenfeld, Arnold Reusken: Numerical Methods for Two-Phase Flows with Mass Transport
Presented at TU Vienna, Vienna, Austria, March 12, 2013. [pdf]
Christoph Lehrenfeld, Arnold Reusken: Discontinuous Galerkin Space-Time Finite Element method for two-phase mass transport
Presented at IGPM Seminar week, Luxembourg, September 6, 2012. [pdf] (video: [avi] )
Christoph Lehrenfeld, Joachim Schöberl : An operator splitted Hybrid DG - DG method for solving incompressible Navier Stokes equations
Presented at TU Vienna, Vienna, Austria, April 14, 2011. [pdf]
Christoph Lehrenfeld, Joachim Schöberl : Hybrid Discontinuous Galerkin methods for incompressible flow problems
Presented at DG Workshop, Linz, Austria, May 31 - June 1, 2010. [pdf]
Christoph Lehrenfeld, Joachim Schöberl : Advanced Higher Order Finite Elements - From Theory to Application with Netgen/NGSolve
Presented at SCAIM Seminar, University of British Columbia, Vancouver, Canada, November 10, 2009. [pdf]