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hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...

Pages   318
Est. Packaging Dimensions:   Length: 9.2" Width: 6.1" Height: 0.7"
Weight:   1 lbs.
Binding  Softcover
Release Date   Nov 19, 2002
Publisher   Springer
ISBN  3540442014  
ISBN13  9783540442011  

Availability  53 units.
Availability accurate as of Oct 23, 2016 10:01.
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Product Categories

1Books > Special Features > Formats
2Books > Subjects > Medicine > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > Applied > Differential Equations
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Mathematical Analysis

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