Professorship habilitation
speciality applied mathematics
University Pierre and Marie Curie – Paris 6
Martin Vohralík
Title
A POSTERIORI ERROR ESTIMATES, STOPPING CRITERIA,
AND INEXPENSIVE IMPLEMENTATIONS
for error control and efficiency in numerical simulations
Defended
on December 13, 2010
Full text
French version,
English version
Slides
- M. Alexandre ERN, Professor, University Paris-Est, ENPC, Marne-la-Vallée, France
- Mme Raphaèle HERBIN, Professor, University of Provence, Marseille, France
- M. Yvon MADAY, Professor, University Pierre and Marie Curie, Paris, France
- M. Serge NICAISE, Professor, University of Valenciennes and of Hainaut Cambrésis, Valenciennes, France
- M. Rolf STENBERG, Professor, Aalto University, Aalto, Finland
- M. Zdeněk STRAKOŠ, Professor, Charles University in Prague, Czech Republic
- M. Rüdiger VERFÜRTH, Professor, Ruhr-University Bochum, Germany
- M. Roland BECKER, Professor, University of Pau and Pays de l'Adour, Pau, France
- M. Serge NICAISE, Professor, University of Valenciennes and of Hainaut Cambrésis, Valenciennes, France
- M. Rüdiger VERFÜRTH, Professor, Ruhr-University Bochum, Germany
- second-order convection–diffusion–reaction problem, Stokes problem, monotone nonlinear problem, degenerate parabolic problem, variational inequalities
- finite volume method, finite element method, mixed finite element method, discontinuous Galerkin method
- nonmatching grids, multiscale, multinumerics, mortar coupling
- existence and uniqueness, convergence, a priori error estimate, a posteriori error estimate
- iterative methods for linear algebraic systems, iterative linearization, stopping criteria
- balancing error components, adaptive mesh refinement, efficient calculation, error control
- relations between different methods, local flux expression, local postprocessing
- unified framework, robustness
- flow and contaminant transport, multiphase flows, porous media, unilateral contact, elastic membranes
AMS subject classifications
35J20, 35K65, 46E35, 65M12, 65M15, 65M60, 65N15, 65N30, 74K15, 74M15, 76M10, 76M12, 76S05