hp-Finite Element Methods for Singular Perturbations - Couverture souple

Melenk, Jens M.

 
9783540442011: hp-Finite Element Methods for Singular Perturbations
Couverture souple
ISBN 10 : 3540442014 ISBN 13 : 9783540442011
Editeur : Springer, 2009

Synopsis

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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Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
3540442014
ISBN 13 
9783540442011
Reliure
Broché
Nombre de pages
340
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