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hp-Finite Element Methods for Singular Perturbations

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-540-45781-7 / 978-3540457817 / 9783540457817

Verlag: Springer Berlin

Erscheinungsdatum: 19.10.2004

Seiten: 326

Autor(en): Jens M. Melenk

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