hp-Finite Element Methods for Singular Perturbations. 1st ed. 2002
- 種類:
- 電子ブック
- 責任表示:
- by Jens M. Melenk
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
- 著者名:
- シリーズ名:
- Lecture Notes in Mathematics ; 1796
- ISBN:
- 9783540457817 [354045781X]
- 注記:
- 1.Introduction -- Part I: Finite Element Approximation -- 2. hp-FEM for Reaction Diffusion Problems: Principal Results -- 3. hp Approximation -- Part II: Regularity in Countably Normed Spaces -- 4. The Countably Normed Spaces blb,e -- 5. Regularity Theory in Countably Normed Spaces -- Part III: Regularity in Terms of Asymptotic Expansions -- 6. Exponentially Weighted Countably Normed Spaces -- Appendix -- References -- Index.
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. - ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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電子ブック
Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems
Springer International Publishing : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |