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Department of Mathematics

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  4. Prof. Dr. Carsten Gräser
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Publications

In page navigation: Applied Mathematics 3
  • Members
    • Prof. Dr. Eberhard Bänsch
    • Dr. Michael Fried
    • Prof. Dr. Carsten Gräser
      • Teaching
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      • Publications
    • Dr. Jonas Knoch
    • Priv.-Doz. Dr. Nicolas Neuß
    • PD Dr. Cornelia Schneider
    • Nick Schneider
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Publications

  • Bänsch E., Doß M., Gräser C., Ray N.:
    Well-posedness of an evaporation model for a spherical droplet exposed to an air flow
    In: Interfaces and Free Boundaries 27 (2025), p. 91-121
    ISSN: 1463-9963
    DOI: 10.4171/IFB/524
    BibTeX: Download

  • Djurdjevac A., Gräser C., Herbert PJ.:
    An evolving space framework for Oseen equations on a moving domain
    In: Mathematical Modelling and Numerical Analysis 57 (2023), p. 3113-3138
    ISSN: 0764-583X
    DOI: 10.1051/m2an/2023074
    BibTeX: Download
  • Gräser C., Kienle D., Sander O.:
    Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis
    In: Computational Mechanics (2023)
    ISSN: 0178-7675
    DOI: 10.1007/s00466-023-02330-x
    BibTeX: Download
  • Gräser C., Kornhuber R., Podlesny J.:
    Numerical simulation of multiscale fault systems with rate- and state-dependent friction
    In: Computational Geosciences (2023)
    ISSN: 1420-0597
    DOI: 10.1007/s10596-023-10231-4
    BibTeX: Download

  • Bastian P., Blatt M., Dedner A., Dreier NA., Engwer C., Fritze R., Gräser C., Grueninger C., Kempf D., Kloefkorn R., Ohlberger M., Sander O.:
    The DUNE framework: Basic concepts and recent developments
    In: Computers & Mathematics with Applications 81 (2021), p. 75-112
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2020.06.007
    BibTeX: Download
  • Gräser C., Kies T.:
    On differentiability of the membrane-mediated mechanical interaction energy of discrete continuum membrane particle models
    In: Interfaces and Free Boundaries 23 (2021), p. 459-484
    ISSN: 1463-9963
    DOI: 10.4171/IFB/461
    BibTeX: Download

  • Gräser C., Kies T.:
    Discretization error estimates for penalty formulations of a linearized Canham-Helfrich-type energy
    In: IMA Journal of Numerical Analysis 39 (2019), p. 626-649
    ISSN: 0272-4979
    DOI: 10.1093/imanum/drx071
    BibTeX: Download
  • Gräser C., Sander O.:
    Truncated nonsmooth Newton multigrid methods for block-separable minimization problems
    In: IMA Journal of Numerical Analysis 39 (2019), p. 454-481
    ISSN: 0272-4979
    DOI: 10.1093/imanum/dry073
    BibTeX: Download

  • Elliott CM., Gräser C., Hobbs G., Kornhuber R., Wolf MW.:
    A Variational Approach to Particles in Lipid Membranes
    In: Archive for Rational Mechanics and Analysis 222 (2016), p. 1011-1075
    ISSN: 0003-9527
    DOI: 10.1007/s00205-016-1016-9
    BibTeX: Download
  • Gräser C., Kahnt M., Kornhuber R.:
    Numerical Approximation of Multi-Phase Penrose-Fife Systems
    In: Computational Methods in Applied Mathematics 16 (2016), p. 523-542
    ISSN: 1609-4840
    DOI: 10.1515/cmam-2016-0020
    BibTeX: Download

  • Gräser C., Kornhuber R., Sack U.:
    Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems
    In: IMA Journal of Numerical Analysis 35 (2015), p. 652-679
    ISSN: 0272-4979
    DOI: 10.1093/imanum/dru014
    BibTeX: Download

  • Gräser C., Kornhuber R., Sack U.:
    Numerical simulation of coarsening in binary solder alloys
    In: Computational Materials Science 93 (2014), p. 221-233
    ISSN: 0927-0256
    DOI: 10.1016/j.commatsci.2014.06.010
    BibTeX: Download
  • Gräser C., Sander O.:
    Polyhedral Gauß-Seidel converges
    In: Journal of Numerical Mathematics 22 (2014), p. 221-254
    ISSN: 1570-2820
    DOI: 10.1515/jnma-2014-0010
    BibTeX: Download

  • Gräser C., Kornhuber R., Sack U.:
    Time discretizations of anisotropic Allen-Cahn equations
    In: IMA Journal of Numerical Analysis 33 (2013), p. 1226-1244
    ISSN: 0272-4979
    DOI: 10.1093/imanum/drs043
    BibTeX: Download
  • Jouvet G., Gräser C.:
    An adaptive Newton multigrid method for a model of marine ice sheets
    In: Journal of Computational Physics 252 (2013), p. 419-437
    ISSN: 0021-9991
    DOI: 10.1016/j.jcp.2013.06.032
    BibTeX: Download

  • Zou Q., Veeser A., Kornhuber R., Gräser C.:
    Hierarchical error estimates for the energy functional in obstacle problems
    In: Numerische Mathematik 117 (2011), p. 653-677
    ISSN: 0029-599X
    DOI: 10.1007/s00211-011-0364-5
    BibTeX: Download

  • Gräser C., Kornhuber R.:
    Nonsmooth Newton methods for set-valued saddle point problems
    In: SIAM Journal on Numerical Analysis 47 (2009), p. 1251-1273
    ISSN: 0036-1429
    DOI: 10.1137/060671012
    BibTeX: Download
  • Gräser C., Kornhuber R.:
    Review article multigrid methods for obstacle problems
    In: Journal of Computational Mathematics 27 (2009), p. 1-44
    ISSN: 0254-9409
    BibTeX: Download
  • Gräser C., Sack U., Sander O.:
    Truncated nonsmooth newton multigrid methods for convex minimization problems
    18th International Conference of Domain Decomposition Methods (, 12-01-2008 - 17-01-2008)
    In: Lecture Notes in Computational Science and Engineering 2009
    DOI: 10.1007/978-3-642-02677-5_12
    BibTeX: Download
  • Gräser C., Sander O.:
    The dune-subgrid module and some applications
    In: Computing 86 (2009), p. 269-290
    ISSN: 0010-485X
    DOI: 10.1007/s00607-009-0067-2
    BibTeX: Download
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