Item description for hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics) by Jens M. Melenk...
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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Est. Packaging Dimensions: Length: 9.2" Width: 6.1" Height: 0.7" Weight: 1 lbs.
Release Date Nov 19, 2002
ISBN 3540442014 ISBN13 9783540442011
Availability 53 units. Availability accurate as of Apr 27, 2017 06:39.
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