Carsten Gräser's Homepage

Member of the DFG Research Center Matheon and the working group on Numerical Methods for PDEs at FU Berlin.

Fields of Interest

Multigrid methods for nonsmooth problems
Nonsmooth Newton methods
Adaptive finite elements
Phase field models
PDEs on surfaces

Projects

Matheon Projekt F6: Multilevel Methods on Manifold Meshes
Matheon Projekt C17: Adaptive Multigrid Methods for Local and Nonlocal Phase Field Models of Solder Alloys
Adaptive Multigrid Methods for Phase Field Models

Software

Member of the Dune development team and Co-maintainer of the the following Dune modules:

Dune-subgrid: a meta grid manager that treats a subset of a grid hierarchy as hierarchic grid itself.
Dune-fufem: a finite-element discretization module
Dune-solvers: a framework for iterative solvers using dynamic polymorphism
Dune-foamgrid: a grid manager for manifold/non-manifold surface grids

Publications

Nonsmooth Schur-Newton methods for vector-valued Cahn-Hilliard equations
Carsten Gräser, Ralf Kornhuber, Uli Sack
Preprint (2012) | Abstract | Article | BibTex
Polyhedral Gauss-Seidel Converges
Carsten Gräser and Oliver Sander
Preprint (2011) | Abstract | Article | BibTex
Time discretizations of anisotropic Allen-Cahn equations
Carsten Gräser, Ralf Kornhuber, Uli Sack
submitted to IMA Journal of Numerical Analysis | Abstract | Article | BibTex
Hierarchical error estimates for the energy functional in obstacle problems
Q. Zou, A. Veeser, R. Kornhuber and C. Gräser
Numerische Mathematik 117 (4), 2011, pp. 653-677 | Article | BibTex
On Hierarchical Error Estimators for Time-discretized Phase Field Models
Carsten Gräser, Ralf Kornhuber, Uli Sack
In 'Proceedings of ENUMATH 2009 '
Springer, 2010, pp. 397-406 | Abstract | Article | BibTex
The dune-subgrid Module and Some Applications
Carsten Gräser, Oliver Sander
Computing 8 (4), 2009, pp. 269-290 | Abstract | Article | BibTex
Multigrid Methods for Obstacle Problems
Carsten Gräser, Ralf Kornhuber
Journal of Computational Mathematics 27 (1), 2009, pp. 1-44 | Abstract | Article | BibTex
Nonsmooth Newton methods for set-valued saddle point problems
Carsten Gräser, Ralf Kornhuber
SIAM J. Numer. Anal. 47 (2), 2009, pp. 1251-1273 | Abstract | Article | BibTex
Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems
Carsten Gräser, Uli Sack, Oliver Sander
In 'Domain Decomposition Methods in Science and Engineering XVIII'
LNCSE, Springer, 2009, pp. 129-136 | Abstract | Article | BibTex
Globalization of Nonsmooth Newton Methods for Optimal Control Problems
Carsten Gräser
In 'Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007'
Springer, 2008, pp. 605-612 | Article | BibTex
On preconditioned Uzawa-type iterations for a saddle point problem with inequality constraints
C. Gräser, R. Kornhuber
In 'Domain Decomposition Methods in Science and Engineering XVI'
LNCSE 55, Springer, 2007, pp. 91-102 | Article | BibTex

Theses

Convex Minimization and Phase Field Models
C. Gräser
PhD Thesis, Freie Universität Berlin, 2011. (pdf)
Analysis und Approximation der Cahn-Hilliard Gleichung mit Hindernispotential
C. Gräser
Diplomarbeit, Freie Universität Berlin, 2004. (pdf)

Talks

Matheon AAC workshop on Optimization with PDE Constraints, 2011, Berlin
Oberwolfach workshop 1148 on Geometric Partial Differential Equations, 2011
IFIP TC 7, 2011, Berlin
ISMP, 2009, Chicago
Matheon ICM Workshop, 2008, Berlin
DD18, 2008, Jerusalem
Enumath, 2007, Graz
DMV Jahrestagung, 2007, Berlin
DD17, 2006, Strobl
EMG 2005, Scheveningen

Teaching

Office hour: Di 14:00-15:00

Sommersemester 2010:
- Vorlesung: Computerorientierte Mathematik II (R. Kornhuber)
Sommersemester 2009:
- Vorlesung: Numerik III (P. Deuflhard)
Wintersemester 2008/2009:
- Vorlesung: Numerik IV (R. Kornhuber)
Sommersemester 2008:
- Vorlesung: Numerik III (R. Kornhuber)
Wintersemester 2007/2008:
- Seminar: Gekoppelte Differentialgleichungsmodelle (R. Kornhuber)
- Vorlesung: Numerik II (R. Kornhuber)
Sommersemester 2007:
- Seminar: Mehrgitter- und Gebietszerlegungsmethoden (R. Kornhuber)
- Vorlesung: Numerik I (R. Kornhuber)
Wintersemester 2006/2007:
- Seminar: Optimierung und Kontrolle (R. Kornhuber)
- Vorlesung: Modellierung und Simulation nichtglatter Prozesse (R. Kornhuber)
Sommersemester 2006:
- Seminar: Konvexe und nicht-glatte Analysis (R. Kornhuber)
- Vorlesung: Computerorientierte Mathematik II (R. Kornhuber)
Wintersemester 2005/2006:
- Vorlesung: Computerorientierte Mathematik I (R. Kornhuber)
Sommersemester 2005:
- Vorlesung: Analysis II (R. Kornhuber)
Wintersemester 2004/2005:
- Vorlesung: Analysis I (R. Kornhuber)