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Summary of hp Finite Element Methods for Singular Perturbations by Jens M. Melenk PDF
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.
Detail About hp Finite Element Methods for Singular Perturbations PDF
- Author : Jens M. Melenk
- Publisher : Springer
- Genre : Mathematics
- Total Pages : 326 pages
- ISBN : 354045781X
- Release Date : 20 October 2004
- PDF File Size : 7,9 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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