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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 10. Oktober 2002 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 517 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540442011 |
| Seiten | 326 |
Schlagwörter
Analysis, Differential Equations, Differentialrechnung und -gleichungen, Global Analysis and Analysis on Manifolds, Maschinenbau, Mathematical and Computational Engineering Applications, Mathematik für Ingenieure, Mathematische Analysis - allgemein, Mechanical Engineering, Numerical Analysis, Numerische Mathematik
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