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Robust hp FEM for problems with boundary layers
| Project Leader: | Prof. C. Schwab |
| Researchers: | Prof. C. Schwab, Dr. M. Melenk, D. Schötzau |
| Date: | 22.03.2000 |
Description
Many partial differental equations of practical interest contain small parameters which imply that the equations are of singularly perturbed type. Typical representatives are the Navier-Stokes equations at small viscosities and various plate and shell models at small thickness. The solutions to these equations may exhibit sharp boundary layers.
In order for a FEM to resolve boundary layers properly, the FE meshes and polynomial degree distribuations have to be chosen appropriately. We investigate the design of hp FEMs for problems with boundary layers which are robust, i.e., the performance of the FEM is independent of the small perturbation parameter. In particular, we are interested in obtaining robust exponential convergence when the input data is (piecewise) analytic.
Contacts
Prof. Christoph Schwab, Dr. Markus Melenk and Dominik Schötzau (schoetz@sam.math.ethz.ch).
Dr. Markus Melenk
MPI Leipzig
Inselstrasse 22-26
D-04103 Leipzig
Germany
Tel.: +49 341 9959 756
Fax.: +49 341 9959 999
Email: markus.melenk@mis.mpg.de
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