hp-Finite Element Methods for Singular Perturbations: 1796 (Lecture Notes in Mathematics, 1796) - Softcover
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.
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hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics, 1796)
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hp-Finite Element Methods for Singular Perturbations (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2002
ISBN 10: 3540442014
ISBN 13: 9783540442011
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Paperback. Condition: new. Paperback. 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. Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540442011
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Lecture Notes in Mathematics: hp-Finite Element Methods for Singular Perturbations (Volume 1796)
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