Prof. Dr. Arnold Reusken

Books

Buch W. Dahmen, A. Reusken, Numerik für Ingenieure und Naturwissenschaftler,
Third edition 2022
Springer-Lehrbuch, ISBN 978-3-662-65180-3
Buch Bothe Reusken D. Bothe, A. Reusken Transport Processes at Fluidic Interfaces
Springer, ISBN 978-3-319-56602-3
Buch Gross Reusken 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
Buch Dahmen Reusken W. Dahmen, A. Reusken, Numerik für Ingenieure und Naturwissenschaftler,
First edition 2006, Second edition 2008.
Springer-Lehrbuch, ISBN 978-3-540-76492-2

Papers

  1. A.Reusken: Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation
    RWTH Aachen, arXiv:2401.03561 (2024)
  2. A.Reusken, H.Sass: Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
    RWTH Aachen, arXiv:2401.01215 (2024)
  3. M.A. Olshanskii, A. Reusken, P. Schwering: An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces
    To appear in Mathematics of Computation (2024)
    IGPM report 523, RWTH Aachen, arXiv: 2302.00779 (2023)
  4. H. Sass, A. Reusken: An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
    Computers & Mathematics with Applications 146 (2023) pp. 253-270,
    DOI: 10.1016/j.camwa.2023.06.040
    IGPM report 522, RWTH Aachen, arXiv:2212.12030 (2022)
  5. E. Bachini, P. Brandner, T. Jankuhn, M. Nestler, S. Praetorius, A. Reusken, A. Voigt: Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
    Journal of Numerical Mathematics (2023), DOI: 10.1515/jnma-2022-0088 , arXiv 2205.12581 (2022)
  6. M.A. Olshanskii, A. Reusken, A. Zhiliakov: Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
    Mathematical Models and Methods in Applied Sciences 32 (2022) pp. 2817-2852,
    DOI: 10.1142/S0218202522500658
    IGPM report 520, RWTH Aachen, arXiv:2203.01521 (2022)
  7. S. Groß, A. Reusken: Analysis of optimal preconditioners for CutFEM
    Numerical linear algebra with applications, 30 (2023) e2486 , DOI: 10.1002/nla.2486
    IGPM report 519, RWTH Aachen (2022), arXiv:2202.09069
  8. S. Brandner, A. Reusken, P. Schwering: On derivations of evolving surface Navier-Stokes equations
    Interfaces and Free Boundaries, 24 (2022), no. 4, pp. 533–563, DOI: 10.4171/IFB/483
    IGPM report 518, RWTH Aachen (2021), arXiv:2110.14262
  9. S. Groß, A. Reusken: Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method
    IGPM report 515, RWTH Aachen (2021)
  10. P. Brandner, T. Jankuhn, S. Praetorius, A. Reusken, A. Voigt: Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
    SIAM J. Sci. Comp., volume 44,4 (2022), pp 1807-1832, DOI: 10.1137/21M1403126
    IGPM report 512, RWTH Aachen (2021), arXiv:2103.03843
  11. A. Reusken: Analysis of finite element methods for surface vector-Laplace eigenproblems
    Math. Comp. 91 (2022), 1587-1623.
    IGPM report 508, RWTH Aachen (2020), arXiv:2011.02851
  12. A. Reusken, B. Stamm: Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model
    SIAM Journal on Numerical Analysis, volume 59, pp. 769 - 796, 2021, DOI: 10.1137/20M1342872
    IGPM report 504, RWTH Aachen (2020)
  13. T. Jankuhn, M.A. Olshanskii, A. Reusken, A. Zhiliakov: Error analysis of higher order trace finite element methods for the surface Stokes equation
    Journal of Numerical Mathematics, volume 29, number 3, pp. 245 - 267, 2021, DOI: 10.1515/jnma-2020-0017
    IGPM report 502, RWTH Aachen (2020)
  14. P. Brandner, A. Reusken: Finite element error analysis of surface Stokes equations in stream function formulation
    ESAIM: M2AN, volume 54, number 6, pp. 2069 - 2097, 2020, DOI: 10.1051/m2an/2020044
    IGPM report 493, RWTH Aachen (2019)
  15. M. A. Olshanskii, A. Reusken, A. Zhiliakov: Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs
    Mathematics of Computation, volume 90, pp. 1527 - 1555, 2021, DOI: 10.1090/mcom/3551
    IGPM report 492, RWTH Aachen (2019)
  16. T. Jankuhn, A. Reusken : Higher order trace finite element methods for the surface Stokes equation
    IGPM report 491, RWTH Aachen (2019)
  17. T. Jankuhn, A. Reusken : Trace finite element methods for surface vector-Laplace equations
    IMA Journal of Numerical Analysis, 2020 DOI: 10.1093/imanum/drz062
    IGPM report 490, RWTH Aachen (2019)
  18. T. Ludescher, S. Groß, A. Reusken : A multigrid method for unfitted finite element discretizations of elliptic interface problems
    SIAM Journal on Scientific Computing, 42(1), pp A318–A342, 2020, DOI: 10.1137/18M1203353
    IGPM report 481, RWTH Aachen (2018)
  19. I. Voulis, A. Reusken : A Time Dependent Stokes Interface Problem: Well-Posedness and Space-Time Finite Element Discretization
    ESAIM: M2AN, volume 52, number 6, pp. 2187 - 2213, 2018, DOI: 10.1051/m2an/2018053
    IGPM report 479, RWTH Aachen (2018)
  20. A. Reusken : Stream Function Formulation of Surface Stokes Equations
    IMA Journal of Numerical Analysis, 40(1), pp 109–139, 2020, DOI: 10.1093/imanum/dry062
    IGPM report 478, RWTH Aachen (2018)
  21. M. A. Olshanskii, A. Quaini, A. Reusken, V. Yushutin : A Finite Element Method for the Surface Stokes Problem
    SIAM Journal on Scientific Computing, 40(4), A2492–A2518, 2018, DOI: 10.1137/18M1166183
    IGPM report 475, RWTH Aachen (2018), also available on arXiv.org
  22. I. Voulis, A. Reusken: Discontinuous Galerkin Time Discretization Methods for Parabolic Problems with Constraints
    Journal of Numerical Mathematics, 27(3), pp 155–182, 2019, DOI: 10.1515/jnma-2018-0013
    IGPM report 474, RWTH Aachen (2018)
  23. P. Bandi, S. Groß, Y. Heng, W. Marquardt, A. Mhamdi, M. Modigell, A. Reusken, L. Zhang: Mass transport in wavy falling films: reduced modeling and experiment
    AIChE Journal, 64, pp. 2265–2276, 2018, DOI: 10.1002/aic.1606
  24. S. Groß, T. Jankuhn, M.A. Olshanskii, A. Reusken: A Trace Finite Element Method for Vector-Laplacians on Surfaces
    SIAM Journal on Numerical Analysis, 56(4), pp. 2406-2429, 2018, DOI: 10.1137/17M1146038
    IGPM report 469, RWTH Aachen (2017)
  25. T. Jankuhn, M. A. Olshanskii , A. Reusken: Incompressible Fluid Problems on Embedded Surfaces: Modeling and Variational Formulations
    Interfaces and Free Boundaries, 20(3), pp. 353-377, 2018, DOI: 10.4171/IFB/405
    IGPM report 462, RWTH Aachen (2017),
  26. M. A. Olshanskii , A. Reusken: Trace Finite Element Methods for PDEs on Surfaces
    IGPM report 460, RWTH Aachen (2016)
    In: Geometrically Unfitted Finite Element Methods and Applications (P.A. Bordas, E. Burman, M. Larson, M. Olshanskii, eds.) Lecture Notes in Computational Engineering and Science Vol. 121, 211-248, 2018, DOI: 10.1007/978-3-319-71431-8_7
  27. C. Lehrenfeld, A. Reusken: High order unfitted finite element methods for interface problems and PDEs on surfaces
    In: Transport Processes at Fluidic Interfaces (D. Bothe, A. Reusken, eds.). Advances in Mathematical Fluid Mechanics (Birkhäuser 2017), pp. 33-64, DOI: 10.1007/978-3-319-56602-3_2
    IGPM report 459, RWTH Aachen (2016)
  28. J. Grande, C. Lehrenfeld, A. Reusken: Analysis of a high order trace finite element method for PDEs on level set surfaces
    SIAM J. Numer. Anal. (2017), pp. 228–255, DOI: 10.1137/16M1102203
    IGPM report 457, RWTH Aachen (2016)
  29. C. Lehrenfeld, A. Reusken: L2-Error Analysis of an Isoparametric Unfitted Finite Element Method for Elliptic Interface Problems
    Journal of Numerical Mathematics, volume 27, issue 2, pp. 85 - 99, DOI: 10.1515/jnma-2017-0109
    IGPM report 450, RWTH Aachen (2016)
  30. C. Lehrenfeld, A. Reusken: Analysis of a high order unfitted finite element method for elliptic interface problems
    IMA J. Numer. Anal. (2017), DOI: 10.1093/imanum/drx041 , IGPM report 445, RWTH Aachen (2016)
  31. C.J. Falconi, C. Lehrenfeld, H. Marschall, C. Meyer, R. Abiev, D. Bothe, A. Reusken, M. Schlüter, M. Wörner : Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel
    Physics of Fluids (2016), 28, 012109, DOI: 10.1063/1.4939498
  32. A. Reusken, X. Xu, L. Zhang : Finite element methods for a class of continuum models for immiscible flows with moving contact lines
    Int. J. Numer. Meth. Fluids (2016), DOI: 10.1002/fld.4349
    IGPM report 432, RWTH Aachen (2015)
  33. S. Groß, T. Ludescher, M. Olshanskii, A. Reusken: Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems
    SIAM J. Sci. Comput. 38, A3492-A3514 (2016), DOI: 10.1137/15M1024007
    IGPM report 424, RWTH Aachen (2015)
  34. M. Kirchhart, S. Gross, A. Reusken : Analysis of an XFEM Discretization for Stokes Interface Problems
    SIAM J. Sci. Comput. 38, A1019-A1043 (2016), DOI: 10.1137/15m1011779
    IGPM report 420, RWTH Aachen (2015)
  35. C. Lehrenfeld, A. Reusken : Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport
    In Computational Methods for Complex Liquid-Fluid Interfaces, Eds. M.T. Rahni, M. Karbaschi, R. Miller (2015),
    pp. 353-372, ISBN 9781498722087.
    IGPM report 413, RWTH Aachen (2014)
  36. C. Lehrenfeld, A. Reusken : Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
    Numerische Mathematik (2016), DOI: 10.1007/s00211-016-0801-6
    IGPM report 406, RWTH Aachen (2014)
  37. J. Grande, A. Reusken : A higher order Finite Element Method for partial differential equations on surfaces
    , SIAM J. Numer. Anal., 54(1), 388–414. (2016), DOI: 10.1137/14097820X
    IGPM report 403, RWTH Aachen (2014)
  38. S. Gross, M.A. Olshanskii, A. Reusken : A trace Finite Element Method for a class of coupled bulk-interface transport problems
    ESAIM: M2AM, Vol. 49 (5), 1303 - 1330 (2015), DOI: 10.1051/m2an/2015013
    IGPM report 398, RWTH Aachen (2014)
  39. A. Reusken : Analysis of trace Finite Element Methods for surface partial differential equations,
    IMA Journal of Numerical Analysis, (2015), 35 (4), 1568-1590, doi:10.1093/imanum/dru047
    IGPM report 387, RWTH Aachen (2014)
  40. J. Grande, M.A. Olshanskii, A. Reusken : A space-time FEM for PDEs on evolving surfaces,
    IGPM report 386, RWTH Aachen (2014). In Proceedings of the 11th World Congress on Computational Mechanics, 2014, E. Onate, J. Oliver and A. Huerta (Eds), ISBN 978-84-942844-7-2
  41. M.A. Olshanskii, A. Reusken : Error analysis of a space-time finite element method for solving PDEs on evolving surfaces,
    SIAM J. Numer. Anal. 52 (4), 2092-2120 (2014), DOI: 10.1137/130936877
    IGPM report 376, RWTH Aachen (2013)
  42. H. Marschall, S. Boden, C. Lehrenfeld, C.J. Falconi, U. Hampel, A. Reusken, M. Wörner, D. Bothe : Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem
    Computers & Fluids 102, 336-352 (2014), DOI: 10.1016/j.compfluid.2014.06.030
  43. M.A. Olshanskii, A. Reusken, X. Xu : An Eulerian space-time finite element method for diffusion problems on evolving surfaces,
    SIAM J. Numer. Anal. 52 (3), 1354-1377 (2014), DOI: 10.1137/130918149
    IGPM report 362, RWTH Aachen (2013)
  44. M.A. Olshanskii, A. Reusken, X. Xu : On surface meshes induced by level set functions,
    Comp. Vis. Science 15, 53-60 (2012), DOI: 10.1007/s00791-013-0200-9
    IGPM report 347, RWTH Aachen (2012)
  45. A. Reusken: A finite element level set redistancing method based on gradient recovery,
    SIAM J. Numer. Analysis 51, 2723-2745 (2013), DOI: 10.1137/120895433
    IGPM report 346, RWTH Aachen (2012)
  46. S. Gross, A. Reusken: Numerical simulation of continuum models for fluid-fluid interface dynamics,
    Eur. Phys. J. Special Topics 222, 211-239 (2013), DOI: 10.1140/epjst/e2013-01836-9
  47. A. Reusken, Y. Zhang: Numerical simulation of incompressible two-phase flows with a Boussinesq-Scriven surface stress tensor,
    Numerical Methods in Fluids 73 (12), 1042-1058 (2013), DOI: 10.1002/fld.3835
    IGPM report 345, RWTH Aachen (2012)
  48. C. Lehrenfeld. A. Reusken: Analysis of a Nitsche-XFEM-DG discretization for a class of two-phase mass transport problems,
    SIAM J. Numer. Anal. 51, No. 2, 958-983 (2013), DOI: 10.1137/120875260
    IGPM report 340, RWTH Aachen (2012)
  49. M.A. Olshanskii, A. Reusken, X. Xu : A stabilized finite element method for advection-diffusion equations on surfaces,
    IMA J. Numer. Anal. 34 (2), 732-758 (2013), DOI: 10.1093/imanum/drt016
    IGPM report 335, RWTH Aachen (2012)
  50. M.A. Olshanskii, A. Reusken, X. Xu : A volume mesh finite element method for PDEs on surfaces,
    IGPM report 342 , RWTH Aachen 2012. In: Proceedings of the ECCOMAS 2012 conference (2012), ISBN 978-3-9502481-9-7
  51. A. Reusken : Finite element techniques for the numerical simulation of two-phase incompressible flows,
    Proceedings of 6th International Berlin Workshop on Transport Phenomena with Moving Boundaries, VDI Fortschritt Bericht Nr. 929, 162-177 (2012), ISBN 978-3-18-392903-0
  52. P. Bandi, S. Gross, M. Karalashvili, A. Mhamdi, H. Pirnay, L. Zhang, W. Marquardt, M. Modigell, A. Reusken :
    Experimental identification of effective mass transport models in falling films,
    Proceedings of 6th International Berlin Workshop on Transport Phenomena with Moving Boundaries, VDI Fortschritt Bericht Nr. 929, 276-297 (2012) , ISBN 978-3-18-392903-0
  53. C. Lehrenfeld. A. Reusken: Nitsche-XFEM with streamline diffusion stabilization for a two-phase mass transport problem,
    SIAM J. Sci. Comp. 34, 2740-2759 (2012), DOI: 10.1137/110855235
    IGPM report 333, RWTH Aachen (2011)
  54. A. Reusken, E. Loch: On the accuracy of the level set SUPG method for approximating interfaces,
    IGPM report 319, RWTH Aachen (2011)
  55. A. Reusken, P.Esser: Analysis of time discretization methods for a Stokes equations with a nonsmooth forcing term,
    Numerische Mathematik (2013) DOI : 10.1007/s00211-013-0564-2
    IGPM report 327, RWTH Aachen (2011)
  56. M. Karalashvili, S. Gross, W. Marquardt, A. Mhamdi, A. Reusken : Identification of transport coefficient models in convection-diffusion equations,
    SIAM J. Sci. Comp.Vol. 33, 303-327 (2011), DOI: 10.1137/09077360X
  57. B. Pollul, A. Reusken : Iterative solvers for discretized stationary Euler equations,
    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), DOI: 10.1007/978-3-642-04088-7
    IGPM report 297, RWTH Aachen (2009)
  58. 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), DOI: 10.1007/s00041-009-9092-y
    IGPM report 298, RWTH Aachen (2009)
  59. 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
  60. 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), DOI: 10.1016/j.ces.2009.11.043
  61. 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), DOI: 10.1002/nme.2913
    IGPM report 291, RWTH Aachen (2008)
  62. A. Reusken: Introduction to multigrid methods for elliptic boundary value problems,
    Multiscale Simulation Methods in Molecular Sciences, eds. J. Grotendorst, S. Blugel, D. Marx, ISBN 978-3-9810843-8-2 (2009). pp. 467-506
    IGPM report 290, RWTH Aachen (2008)
  63. M. A. Olshanskii, A. Reusken: A finite element method for surface PDEs: matrix properties,
    Numerische Mathematik 114, 491-520 (2009), DOI: 10.1007/s00211-009-0260-4
    IGPM report 287, RWTH Aachen (2008)
  64. M. A. Olshanskii, A. Reusken, J. Grande: A finite element method for elliptic equations on surfaces,
    SIAM J. Numer. Anal. 47, 3339-3358 (2009), DOI: 10.1137/080717602
    IGPM report 286, RWTH Aachen (2008)
  65. A. Reusken: Analysis of an extended pressure finite element space for two-phase incompressible flows,
    Comp. Visual. Sci. 11, 293-305, (2008), DOI: 10.1007/s00791-008-0099-8
    IGPM report 281, RWTH Aachen (2007)
  66. M. Larin, A. Reusken: A comparative study of efficient iterative solvers for generalized Stokes equations,
    Numer. Lin. Algebra Appl. 15, 13-34, (2008), DOI: 10.1002/nla.561
    IGPM report 272, RWTH Aachen (2007)
  67. 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), DOI: 10.1137/070706823
    IGPM report 275, RWTH Aachen (2007)
  68. 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), DOI: 10.1016/j.cnsns.2006.11.002
    IGPM report 263, RWTH Aachen (2006)
  69. 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), DOI: 10.1016/j.cnsns.2006.11.001
    IGPM report 256, RWTH Aachen (2006)
  70. 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), DOI: 10.1016/j.ijheatmasstransfer.2008.03.020
  71. 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), DOI: 10.1137/070692388
    IGPM report 276, RWTH Aachen (2007)
  72. B. Pollul, A. Reusken: Numbering techniques for preconditioners in iterative solvers for compressible flows,
    Int. J. Numer. Meth. in Fluids 55, 241-261, (2007), DOI: 10.1002/fld.1450
    IGPM report 255, RWTH Aachen (2006)
  73. A. Reusken, M. Soemers: On the robustness of a multigrid method for anisotropic reaction-diffusion problems,
    Computing 80, 299-317, (2007), DOI: 10.1007/s00607-007-0232-4
    IGPM report 266, RWTH Aachen (2006)
  74. 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), DOI: 10.1137/060667530
    IGPM report 262, RWTH Aachen (2006)
  75. S. Gross, A. Reusken: An extended pressure finite element space for two-phase incompressible flows with surface tension,
    J. Comp. Phys. Volume 224,Issue 1, Pages 40-58, (2007), DOI: 10.1016/j.jcp.2006.12.021
    IGPM report 264, RWTH Aachen (2006)
  76. 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), DOI: 10.1007/s00211-006-0031-4
    IGPM report 252, RWTH Aachen (2005)
  77. M. A. Olshanskii, A. Reusken: Analysis of a Stokes interface problem,
    Numer. Math. 103, 159-149, (2006), DOI: 10.1007/s00211-005-0646-x
    IGPM report 237, RWTH Aachen (2004)
  78. 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), DOI: 10.1007/s00791-006-0024-y
    IGPM report 243, RWTH Aachen (2003)
  79. 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), DOI: 10.1016/j.ijheatmasstransfer.2005.06.030
  80. J. Peters, V. Reichelt, A. Reusken: Fast iterative solvers for discrete Stokes equations,
    SIAM J. Sci. Comp. 27, 646-666, (2005), DOI: 10.1137/040606028
    IGPM report 241, RWTH Aachen (2004)
  81. S. Gross, A. Reusken: Parallel multilevel tetrahedral grid refinement,
    SIAM J. Sci. Comp. 26, 1261-1288, (2005), DOI: 10.1137/S1064827503425237
    IGPM report 227, RWTH Aachen (2003)
  82. M. A. Olshanskii, A. Reusken: Grad-div stabilization for Stokes equations,
    Math. Comp. 73, 1699-1718, (2004), DOI: 10.1090/S0025-5718-03-01629-6
    IGPM report 208, RWTH Aachen (2001)
  83. M. A. Olshanskii, A. Reusken: A Stokes interface problem: stability, finite element analysis and a robust solver,
    P. Neittaanmki et al. (eds), Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, ISBN 951-39-1868-8, 951-39-1869-6
    IGPM report 239, RWTH Aachen (2004)
  84. 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), DOI: 10.1137/S0036142902418679
    IGPM report 231, RWTH Aachen (2003)
  85. A. Reusken: Convergence analysis of the Gauss-Seidel method for discretized one-dimensional Euler equations,
    SIAM J. Numer. Anal. 41, 1388-1405, (2003), DOI: 10.1137/S0036142902407393
    IGPM report 213, RWTH Aachen (2002)
  86. A. Reusken: Convergence analysis of a multigrid method for convection-diffusion equations,
    Numer. Math. 91, 323-349, (2002), DOI: 10.1007/s002110100312
    IGPM report 190, RWTH Aachen (2000)
  87. A. Reusken: Approximation of the determinant of large sparse symmetric positive definite matrices,
    SIAM J. Matrix Anal. 23, 799-818, (2002), DOI: 10.1137/S089547980036869X
    IGPM report 187, RWTH Aachen (2000)
  88. 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, (2000), DOI: 10.1137/S1064827500374881 . IGPM report 193, RWTH Aachen (2000)
  89. 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) , DOI: 10.1137/S1064827500380623
  90. V. Reichelt, A. Reusken: Mit Gittern auf der Spur von Tropfen, TerraTech, Zeitschrift für Altlasten und Bodenschutz V. 6, 35-37, (2001)
  91. M. A. Olshanskii, A. Reusken: On the convergence of a multigrid method for linear reaction-diffusion problems,
    Computing 65, 193-202, (2000), DOI: 10.1007/s006070070006
    IGPM report 192, RWTH Aachen (2000)
  92. A. Reusken: An algebraic multilevel preconditioner for symmetric positive definite and indefinite problems,
    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), ISBN 3-540-67732-1
    IGPM report 179, RWTH Aachen (1999)
  93. A. Reusken: On the Approximate Cyclic Reduction Preconditioner,
    SIAM J. Scientific Comp. 21, 565-590, (1999), DOI: 10.1137/S1064827597331655
    IGPM report 144, RWTH Aachen (1997)
  94. J. Bey, A. Reusken: On the convergence of basic iterative methods for convection-diffusion equations,
    Numerical Linear Algebra with Appl. 6, 329-352, (1999), DOI: 10.1002/(SICI)1099-1506(199907/08)6:5329::AID-NLA167>3.0.CO;2-A
    IGPM report 169, RWTH Aachen (1998)
  95. A. Reusken: Approximate cyclic reduction preconditioning,
    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), ISBN 3-540-63133-X
  96. 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), DOI: 10.1007/BF02684382
    IGPM report 152, RWTH Aachen (1998)
  97. P. J. J. Ferket, A. Reusken: A finite difference discretization method on composite grids,
    Computing 56, 343-369, (1996)
  98. A. Reusken: A multigrid method based on incomplete Gaussian elimination,
    Numerical Linear Algebra with Appl. 3, 369-390, (1996), DOI: 10.1002/(SICI)1099-1506(199609/10)3:5369::AID-NLA89>3.0.CO;2-M
  99. P. J. J. Ferket, A. Reusken: Further analysis of the Local Defect Correction Method,
    Computing 56, 117-139, (1996)
  100. A. Reusken: On a robust multigrid solver,
    Computing 56, 303-322, (1996)
  101. A. Reusken: Fourier analysis of a robust multigrid method for convection-diffusion problems,
    Numer. Math. 71, 365-397, (1995)
  102. A. Reusken: A new robust multigrid method for 2D convection-diffusion problems,
    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), DOI: 10.1007/978-3-663-14125-9_19
  103. A. Reusken: Multigrid with matrix-dependent transfer operators for convection-diffusion problems,
    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), ISBN 978-3-0348-9664-1
  104. A. Reusken: On maximum norm convergence of multigrid methods for elliptic boundary value problems,
    SIAM J. Numer. Anal. 31, 378-392, (1994), DOI: 10.1137/0731020
  105. A. Reusken: Multigrid with matrix-dependent transfer operators for a singular perturbation problem,
    Computing 50, 199-211, (1993), DOI: 10.1007/BF02243811
  106. A. Reusken: The smoothing property for regular splittings
    Incomplete Decompositions (ILU)-Algorithms, theory and applications (eds. W. Hackbusch, G. Wittum). Notes on Numerical Fluid Mechanics Vol. 41, 130-138, (1993), DOI: 10.1007/978-3-322-85732-3_14
  107. A. Reusken: Multigrid applied to two-dimensional exponential fitting for drift-diffusion models,
    Iterative Methods in Linear Algebra, Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, 505-514, (1992)
  108. A. Reusken: On maximum norm convergence of multigrid methods for two-point boundary value problems,
    SIAM J. Numer. Anal. 29, 1569-1578, (1992), DOI: 10.1137/0729090
  109. A. Reusken: Multigrid applied to mixed finite element schemes for current continuity equations,
    Multigrid Methods 3. Proceedings of the third European conference on multigrid methods (eds. W. Hackbusch, U. Trottenberg), 325-338, Birkhäuser, Basel, (1991), DOI: 10.1007/978-3-0348-5712-3_24
  110. A. Reusken: Steplength optimization and linear multigrid methods,
    Numer. Math. 58, 819-838, (1991), DOI: 10.1007/BF01385656
  111. W. Hackbusch, A. Reusken: Analysis of a damped nonlinear multilevel method,
    Numer. Math. 55, 225-246, (1989), DOI: 10.1007/BF01406516
  112. A. Reusken: Convergence of the multilevel full approximation scheme including the V-cycle,
    Numer. Math. 54, 663-686, (1988), DOI: 10.1007/BF01397135
  113. 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), DOI: 10.1007/978-3-322-86200-6_9
  114. 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), DOI: 10.1007/BF01398879