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-co...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1796. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiv, 318 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [311]-316) and index. |
| ISBN: | 9783540457817 (electronic bk.) 354045781X (electronic bk.) |
| ISSN: | 0075-8434 ; |