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| Coworker: | K. Gärtner, A. Glitzky, J. A. Griepentrog |
| Cooperation: |
R. Richter
(Max-Planck-Institut Halbleiterlabor München)
R. Eymard (Université de Marne-la-Vallée, France) |
| Support: | J. A. Griepentrog is financially supported by the European XFEL GmbH, XFEL project Charge cloud simulations. |
Results
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A. Glitzky ,
K. Gärtner
Energy estimates for continuous and discretized electro-reaction-diffusion systems,
Nonlinear Analalysis 70 (2009) pp. 788-805,
WIAS Preprint 1222 (2007) -
K. Gärtner
Existence of bounded discrete steady state solutions of the van Roosbroeck system on boundary conforming Delaunay grids,
SIAM J. Sci. Comput. 31 (2009) pp. 1347-1362,
WIAS Preprint 1258 (2007) -
A. Glitzky ,
K. Gärtner
Existence of bounded steady state solutions to spin-polarized drift-diffusion systems,
SIAM J. Math. Anal. 41 (2010) pp. 2489-2513,
WIAS Preprint 1357 (2008) -
A. Glitzky
Exponential decay of the free energy for discretized electro-reaction-diffusion systems,
Nonlinearity 21 (2008) pp. 1989-2009,
WIAS Preprint 1291 (2008) -
A. Glitzky
Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems,
accepted for publication in Math. Nachr.
WIAS Preprint 1443 (2009) -
A. Glitzky ,
J. A. Griepentrog
Discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations,
SIAM J. Numer. Anal. 48 (2010) pp. 372-391,
WIAS Preprint 1429 (2009) -
A. Glitzky ,
J. A. Griepentrog
On discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations,
in: Finite volumes for complex applications VI: Problems and perspectives, J. Fort, J. Fürst, J. Halama, R. Herbin, F. Hubert, eds., Springer Proceedings in Mathematics 4, Springer, Heidelberg, 2011, pp. 533--541. -
Poster
Voronoi Finite Volume Methods for Semiconductor Problems -
Poster
Discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations, Finite volumes for complex applications VI (FVCA6) Prague, June 2011. - Talks
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Talk Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems
8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, special session on Reaction Diffusion Systems 2010,
TU Dresden, 2010 May 26 -
Talk Existence of bounded steady state solutions to spin-polarized drift-diffusion systems
Workshop on Drift Diffusion Systems and Related Problems: Analysis, Algorithms and Computations, WIAS, 2010,
Berlin, 2010 March 25 -
Talk Discrete Sobolev-Poincaré inequalities using the W1,p seminorm in the setting of Voronoi finite volume approximations
International Conference on Elliptic and Parabolic Equations, WIAS 2009,
Berlin, 2009 December 3 -
Talk Discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations
ÖMG-DMV Congress 2009, Graz, 2009 September 21 -
Talk Energy estimates for continuous and discretized reaction-diffusion systems in heterostructures
Jahrestagung der Deutschen Mathematiker-Vereinigung 2008,
Erlangen, 2008 September 15 -
Talk Energy estimates for space and time discretized electro-reaction-diffusion systems
Differential Equations and Applications to Mathematical Biology,
Le Havre, France, 2008 June 26 -
Talk Analysis of Spin-Polarized Drift-Diffusion Models
GAMM Annual Meeting 2008,
Bremen, 2008 April 1 -
Talk Energy estimates for reaction-diffusion processes of charged species
6th International Congress on Industrial and Applied Mathematics,
Zürich, Switzerland, 2007 July 16
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