hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics, 1796, Band 1796) - Softcover

Melenk, Jens M.

 
9783540442011: hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics, 1796, Band 1796)
Softcover
ISBN 10: 3540442014 ISBN 13: 9783540442011
Verlag: Springer, 2009

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540442014
ISBN 13 
9783540442011
Einband
Taschenbuch
Anzahl der Seiten
340
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