Publikationen – Department Mathematik

2023

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
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2021

Bastian P., Blatt M., Dedner A., Dreier NA., Engwer C., Fritze R., Graeser 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), S. 75-112
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2020.06.007
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Graeser 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), S. 459-484
ISSN: 1463-9963
DOI: 10.4171/IFB/461
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2019

Graeser C., Kies T.:
Discretization error estimates for penalty formulations of a linearized Canham-Helfrich-type energy
In: IMA Journal of Numerical Analysis 39 (2019), S. 626-649
ISSN: 0272-4979
DOI: 10.1093/imanum/drx071
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Graeser C., Sander O.:
Truncated nonsmooth Newton multigrid methods for block-separable minimization problems
In: IMA Journal of Numerical Analysis 39 (2019), S. 454-481
ISSN: 0272-4979
DOI: 10.1093/imanum/dry073
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2016

Elliott CM., Graeser C., Hobbs G., Kornhuber R., Wolf MW.:
A Variational Approach to Particles in Lipid Membranes
In: Archive for Rational Mechanics and Analysis 222 (2016), S. 1011-1075
ISSN: 0003-9527
DOI: 10.1007/s00205-016-1016-9
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Graeser C., Kahnt M., Kornhuber R.:
Numerical Approximation of Multi-Phase Penrose-Fife Systems
In: Computational Methods in Applied Mathematics 16 (2016), S. 523-542
ISSN: 1609-4840
DOI: 10.1515/cmam-2016-0020
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2015

Graeser C., Kornhuber R., Sack U.:
Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems
In: IMA Journal of Numerical Analysis 35 (2015), S. 652-679
ISSN: 0272-4979
DOI: 10.1093/imanum/dru014
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2014

Graeser C., Kornhuber R., Sack U.:
Numerical simulation of coarsening in binary solder alloys
In: Computational Materials Science 93 (2014), S. 221-233
ISSN: 0927-0256
DOI: 10.1016/j.commatsci.2014.06.010
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Graeser C., Sander O.:
Polyhedral Gauß-Seidel converges
In: Journal of Numerical Mathematics 22 (2014), S. 221-254
ISSN: 1570-2820
DOI: 10.1515/jnma-2014-0010
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2013

Graeser C., Kornhuber R., Sack U.:
Time discretizations of anisotropic Allen-Cahn equations
In: IMA Journal of Numerical Analysis 33 (2013), S. 1226-1244
ISSN: 0272-4979
DOI: 10.1093/imanum/drs043
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Jouvet G., Graeser C.:
An adaptive Newton multigrid method for a model of marine ice sheets
In: Journal of Computational Physics 252 (2013), S. 419-437
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2013.06.032
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2011

Zou Q., Veeser A., Kornhuber R., Graeser C.:
Hierarchical error estimates for the energy functional in obstacle problems
In: Numerische Mathematik 117 (2011), S. 653-677
ISSN: 0029-599X
DOI: 10.1007/s00211-011-0364-5
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2009

Graeser C., Kornhuber R.:
Nonsmooth Newton methods for set-valued saddle point problems
In: SIAM Journal on Numerical Analysis 47 (2009), S. 1251-1273
ISSN: 0036-1429
DOI: 10.1137/060671012
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Graeser C., Sander O.:
The dune-subgrid module and some applications
In: Computing 86 (2009), S. 269-290
ISSN: 0010-485X
DOI: 10.1007/s00607-009-0067-2
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Gräser C., Kornhuber R.:
Review article multigrid methods for obstacle problems
In: Journal of Computational Mathematics 27 (2009), S. 1-44
ISSN: 0254-9409
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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
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