Stabilization techniques for spectral methods |
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| Authors: | Wilhelm Heinrichs |
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| Affiliation: | (1) Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-4000 Düsseldorf 1, Germany |
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| Abstract: | We introduce a stabilized treatment of spectral methods. The condition number of the spectral systems is highly improved. Elliptic and biharmonic problems are considered. Suitable interpolants in the case of inhomogeneous Dirichlet boundary conditions are presented. For a direct solver the improvements with respect to rounding error propagation are numerically demonstrated. |
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| Keywords: | Spectral condition number elliptic biharmonic rounding errors |
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