ENGLISH

HP-Finite Element Methods for Singular Perturbations

By Melenk J.M.

Book information

Year
2008
Language
english
Format
RAR
Filesize
4 MB (3751624 bytes)
Pages
340\0
Library
mexmat
Time added
2009-11-09 02:42:13

Description

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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