Prof. Dr. Arnold Reusken

Publications Prof. Dr. Arnold Reusken

Books

W. Dahmen, A. Reusken,
Numerik für Ingenieure und Naturwissenschaftler,
First edition 2006,
Second edition 2008.
Springer-Lehrbuch, ISBN 978-3-540-76492-2
S. Gross, A. Reusken,
Numerical Methods for Two-phase Incompressible Flows,
First edition 2011,
Springer Series in Computational Mathematics, Vol. 40, ISBN 978-3-642-19685-0

Papers

  1. A. Reusken, E. Loch:
    On the accuracy of the level set SUPG method for approximating interfaces,
    IGPM report 319, RWTH Aachen (2011)

  2. A. Reusken, P.Esser:
    Analysis of time discretization methods for a two-phase Stokes equation with surface tension,
    IGPM report 327, RWTH Aachen (2011)

  3. M. Karalashvili, S. Gross, W. Marquardt, A. Mhamdi, A. Reusken :
    Identification of transport coefficient models in convection-diffusion equations,
    SIAM J. Sci. Comp.Vol. 303-327 (2011)

  4. B. Pollul, A. Reusken :
    Iterative solvers for discretized stationary Euler equations,
    In: Summary of Flow Modulation and Fluid-Structure Interaction Findings (W. Schröder, ed.), Notes on Numerical Fluid Mechanics and Multidisciplinary Design Vol. 109, 295-223 (2010)

  5. A. Reusken, T.-H. Nguyen:
    Nitsche's method for a transport problem in two-phase incompressible flows,
    J. Fourier Analysis and Applications 15, 663-683 (2009)

  6. A. Reusken, T.-H. Nguyen:
    Nitsche-XFEM for a transport problem in two-phase incompressible flows,
    Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2009), RWTH Aachen.

  7. E. Bertakis, S. Gross, J. Grande, O. Fortmeier, A. Reusken, A. Pfennig:
    Validated simulation of droplet sedimentation with finite-element and level-set methods,,
    Chem. Eng. Science 65, 2037-2051 (2010).

  8. P. Esser, J. Grande, A. Reusken:
    An extended finite element method applied to levitated droplet problems,
    Int. J. for Numer. Meth. in Engineering 84, 757-773 (2010).

  9. A. Reusken:
    Introduction to multigrid methods for elliptic boundary value problems,
    In: Multiscale Simulation Methods in Molecular Sciences, eds. J. Grotendorst, S. Blugel, D. Marx, ISBN 978-3-9810843-8-2 (2009). pp. 467-506.

  10. M. A. Olshanskii, A. Reusken:
    A finite element method for surface PDEs: matrix properties,
    Numerische Mathematik 114, 491-520 (2009).

  11. M. A. Olshanskii, A. Reusken, J. Grande:
    A finite element method for elliptic equations on surfaces,
    SIAM J. Numer. Anal. 47, 3339-3358 (2009).

  12. A. Reusken:
    Analysis of an extended pressure finite element space for two-phase incompressible flows,
    Comp. Visual. Sci. 11, 293-305, (2008).

  13. M. Larin, A. Reusken:
    A comparative study of efficient iterative solvers for generalized Stokes equations,
    Numer. Lin. Algebra Appl. 15, 13-34, (2008).

  14. M. F. M. Speetjens, A. Reusken, S. Maier-Paape, W. Marquardt:
    Stability analysis of two-dimensional pool-boiling systems,
    SIAM J. Appl. Dyn. Sys. 7, 933-961, (2008).

  15. M. F. M. Speetjens, A. Reusken, W. Marquardt:
    Steady-state solutions in a three-dimensional nonlinear pool-boiling heat-transfer model,
    Comm. Nonlin. Sci. Num. Sim. 13, 1518-1537, (2008).

  16. M. F. M. Speetjens, A. Reusken, W. Marquardt:
    Steady-state solutions in a nonlinear pool boiling model,
    Comm. Nonlin. Sci. Num. Sim. 13, 1475-1494, (2008).

  17. Y. Heng, A. Mhamdi, S. Gross, A. Reusken, M. Buchholz, H. Auracher, W. Marquardt:
    Reconstruction of local boundary heat fluxes in pool boiling experiments along the entire boiling curve from high resolution transient temperature measurements,
    Int. J. Heat Mass Trans. 51, 5072-5087, (2008).

  18. M. Karalashvili, S. Gross, A. Mhamdi, A. Reusken, W. Marquardt:
    Incremental identification of transport phenomena in convection-diffusion systems,
    SIAM J. Sci. Comput. 30, 3249-3269, (2008).

  19. B. Pollul, A. Reusken:
    Numbering techniques for preconditioners in iterative solvers for compressible flows,
    Int. J. Numer. Meth. in Fluids 55, 241-261, (2007).

  20. A. Reusken, M. Soemers:
    On the robustness of a multigrid method for anisotropic reaction-diffusion problems,
    Computing 80, 299-317, (2007).

  21. S. Gross, A. Reusken:
    Finite element discretization error analysis of a surface tension force in two-phase incompressible flows,
    SIAM J. Numer. Anal. 45, 1679-1700, (2007).

  22. S. Gross, A. Reusken:
    An extended pressure finite element space for two-phase incompressible flows with surface tension,
    J. Comp. Phys. 45, 40-58, (2007).

  23. M. A. Olshanskii, J. Peters, A. Reusken:
    Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations,
    Numer. Math. 105, 159-191, (2006).

  24. M. A. Olshanskii, A. Reusken:
    Analysis of a Stokes interface problem,
    Numer. Math. 103, 159-149, (2006).

  25. S. Gross, V. Reichelt, A. Reusken:
    A finite element based level set method for two-phase incompressible flows,
    Comp. Visual. Sci. 9, 239-257, (2006).

  26. S. Gross, M. Soemers, A. Mhamdi, F. Al Sibai, A. Reusken, W. Marquardt, U. Renz:
    Identification of boundary heat fluxes in a falling film experiment using high resolution temperature measurements,
    Int. J. of Heat and Mass Transfer 48, 5549-5562, (2005).

  27. J. Peters, V. Reichelt, A. Reusken:
    Fast iterative solvers for discrete Stokes equations,
    SIAM J. Sci. Comp. 27, 646-666, (2005).

  28. S. Gross, A. Reusken:
    Parallel multilevel tetrahedral grid refinement,
    SIAM J. Sci. Comp. 26, 1261-1288, (2005).

  29. M. A. Olshanskii, A. Reusken:
    Grad-div stabilization for Stokes equations,
    Math. Comp. 73, 1699-1718, (2004).

  30. M. A. Olshanskii, A. Reusken:
    A Stokes interface problem: stability, finite element analysis and a robust solver,
    In: P. Neittaanmki et al. (eds), Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004.

  31. M. A. Olshanskii, A. Reusken:
    Convergence analysis of a multigrid method for a convection-dominated model problem,
    SIAM J. Numer. Anal. 42, 1261-1291, (2004).

  32. A. Reusken:
    Convergence analysis of the Gauss-Seidel method for discretized one-dimensional Euler equations,
    SIAM J. Numer. Anal. 41, 1388-1405, (2003).

  33. A. Reusken:
    Convergence analysis of a multigrid method for convection-diffusion equations,
    Numer. Math. 91, 323-349, (2002).

  34. A. Reusken:
    Approximation of the determinant of large sparse symmetric positive definite matrices,
    SIAM J. Matrix Anal. 23, 799-818, (2002).

  35. M. A. Olshanskii, A. Reusken:
    Navier-Stokes equations in rotation form: A robust multigrid solver for the velocity problem,
    SIAM J. Scientific Comp. 23, 1683-1706, (2002).

  36. O. Bröker, M. Grote, C. Mayer, A. Reusken:
    Robust parallel smoothing for multigrid via sparse approximate inverses,
    SIAM J. Scientific Comp. 32, 1395-1416, (2001).

  37. V. Reichelt, A. Reusken:
    Mit Gittern auf der Spur von Tropfen,
    TerraTech, Zeitschrift für Altlasten und Bodenschutz V. 6, 35-37, (2001).

  38. M. A. Olshanskii, A. Reusken:
    On the convergence of a multigrid method for linear reaction-diffusion problems,
    Computing 65, 193-202, (2000).

  39. A. Reusken:
    An algebraic multilevel preconditioner for symmetric positive definite and indefinite problems,
    In: Numerical Challenges in Lattice Quantum Chromodynamics (A. Frommer, T. Lippert,
    B. Medeke, K. Schilling, eds.) Lecture Notes in Computational Science and Engineering 15, 66-83, (2000).

  40. A. Reusken:
    On the Approximate Cyclic Reduction Preconditioner,
    SIAM J. Scientific Comp. 21, 565-590, (1999).

  41. J. Bey, A. Reusken:
    On the convergence of basic iterative methods for convection-diffusion equations,
    Numerical Linear Algebra with Appl. 6, 329-352, (1999).

  42. A. Reusken:
    Approximate cyclic reduction preconditioning,
    In: W. Hackbusch, G. Wittum (eds.), Multigrid Methods 5, Proceedings of the Fifth European Multigrid Conference. Lecture Notes in Computational Science and Engineering Vol. 3, 243-259, (1998).

  43. M. Anthonissen, B. van't Hof, A. Reusken:
    A finite volume scheme for solving elliptic boundary value problems on composite grids,
    Computing 61, 285-305, (1998).

  44. P. J. J. Ferket, A. Reusken:
    A finite difference discretization method on composite grids,
    Computing 56, 343-369, (1996).

  45. A. Reusken:
    A multigrid method based on incomplete Gaussian elimination,
    Numerical Linear Algebra with Appl. 3, 369-390, (1996).

  46. P. J. J. Ferket, A. Reusken:
    Further analysis of the Local Defect Correction Method,
    Computing 56, 117-139, (1996).

  47. A. Reusken:
    On a robust multigrid solver,
    Computing 56, 303-322, (1996).

  48. A. Reusken:
    Fourier analysis of a robust multigrid method for convection-diffusion problems,
    Numer. Math. 71, 365-397, (1995).

  49. A. Reusken:
    A new robust multigrid method for 2D convection-diffusion problems,
    In: Fast Solvers for Flow Problems, Proceedings of the Tenth GAMM-Seminar Kiel (eds.
    W. Hackbusch, G. Wittum). Notes on Numerical Fluid Mechanics Vol 49, 229-240, (1995).

  50. A. Reusken:
    Multigrid with matrix-dependent transfer operators for convection-diffusion problems,
    In: P. W. Hemker, P. Wesseling (eds.), Multigrid Methods 4, Proceedings of the fourth European Multigrid Conference. International series of Numerical Mathematics Vol. 116, 269-280, (1994).

  51. A. Reusken:
    On maximum norm convergence of multigrid methods for elliptic boundary value problems,
    SIAM J. Numer. Anal. 31, 378-392, (1994).

  52. A. Reusken:
    Multigrid with matrix-dependent transfer operators for a singular perturbation problem,
    Computing 50, 199-211, (1993).

  53. A. Reusken:
    The smoothing property for regular splittings,
    In: Incomplete Decompositions (ILU)-Algorithms, theory and applications (eds. W. Hackbusch, G. Wittum). Notes on Numerical Fluid Mechanics Vol. 41, 130-138, (1993).

  54. A. Reusken:
    Multigrid applied to two-dimensional exponential fitting for drift-diffusion models,
    In: Iterative Methods in Linear Algebra, Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, 505-514, (1992).

  55. A. Reusken:
    On maximum norm convergence of multigrid methods for two-point boundary value problems,
    SIAM J. Numer. Anal. 29, 1569-1578, (1992).

  56. A. Reusken:
    Multigrid applied to mixed finite element schemes for current continuity equations,
    In: Multigrid Methods 3. Proceedings of the third European conference on multigrid methods (eds.
    W. Hackbusch, U. Trottenberg), 325-338, Birkhäuser, Basel, (1991).

  57. A. Reusken:
    Steplength optimization and linear multigrid methods,
    Numer. Math. 58, 819-838, (1991).

  58. W. Hackbusch, A. Reusken:
    Analysis of a damped nonlinear multilevel method,
    Numer. Math. 55, 225-246, (1989).

  59. A. Reusken:
    Convergence of the multilevel full approximation scheme including the V-cycle,
    Numer. Math. 54, 663-686, (1988).

  60. W. Hackbusch, A. Reusken:
    On global multigrid convergence for nonlinear problems,
    In: Robust multigrid methods. Notes on Numerical Fluid Dynamics, 105-113, Vieweg, Braunschweig, (1988).

  61. A. Reusken:
    Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems,
    Numer. Math. 52, 251-277, (1988).

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