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Wir sind gerne für Sie daMany 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.
Produkteigenschaften
- Artikelnummer: 9783540442011
- Medium: Buch
- ISBN: 978-3-540-44201-1
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 10.10.2002
- Sprache(n): Englisch
- Auflage: 2002
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 1060 g
- Seiten: 326
- Format (B x H x T): 155 x 235 x 19 mm
- Ausgabetyp: Kein, Unbekannt