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hp-Finite Element Methods for Singular Perturbations - Lecture Notes in Mathematics 1796 (Paperback)
  • hp-Finite Element Methods for Singular Perturbations - Lecture Notes in Mathematics 1796 (Paperback)
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hp-Finite Element Methods for Singular Perturbations - Lecture Notes in Mathematics 1796 (Paperback)

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£54.99
Paperback 326 Pages / Published: 10/10/2002
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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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540442011
Number of pages: 326
Weight: 1060 g
Dimensions: 235 x 155 x 18 mm
Edition: 2002 ed.

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