hp-Finite Element Methods for Singular Perturbations / Lecture Notes in Mathematics Bd.1796 (PDF)
(Sprache: Englisch)
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid...
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Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.
Bibliographische Angaben
- Autor: Jens M. Melenk
- 2004, 2002, 326 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 354045781X
- ISBN-13: 9783540457817
- Erscheinungsdatum: 19.10.2004
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