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Book synopsis

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.

Book details

Book category Books in English Technology, engineering, agriculture Mechanical engineering & materials

• Full title: hp-Finite Element Methods for Singular Perturbations
• Author: J. M. Melenk
• Language: English
• Binding: Paperback
• Number of pages: 326
• EAN: 9783540442011
• ISBN: 3540442014
• ID: 01564636
• Publisher: Springer, Berlin
• Weight: 508 g
• Dimensions: 234 × 156 × 18 mm
• Published: 2002

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