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About hp-Finite Element Methods for Singular Perturbations
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.
Detailed Information
| Author: | Jens M. Melenk |
|---|---|
| Publication Year: | 2002 |
| ISBN: | 9783540442011 |
| Pages: | 325 |
| Language: | English |
| File Size: | 3.076 |
| Format: | |
| Price: | FREE |
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