Springer
Hp-Finite Element Methods for Singular Perturbations
Product Code:
9783540442011
ISBN13:
9783540442011
Condition:
New
$61.47
Hp-Finite Element Methods for Singular Perturbations
$61.47
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.
| Author: Jens M. Melenk |
| Publisher: Springer |
| Publication Date: Oct 10, 2002 |
| Number of Pages: 326 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3540442014 |
| ISBN-13: 9783540442011 |
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