On robust exponential convergence of hp finite element methods for problems with boundary layers
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1996-05Type
- Report
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Abstract
The emhp/em version of the finite element method for a one dimensional, singularly perturbed elliptic model problem with analytic right hand side is considered. It is shown that the use of piecewise polynomials of degree emp/em on a mesh consisting of three suitably chosen elements leads to robust exponential convergence, i.e., the rate of convergence depends only on the right hand side and is independent of the perturbation parameter. Show more
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https://doi.org/10.3929/ethz-a-004284721Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
boundary layer; singularly perturbed problem; p version; hp version; spectral element methodOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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