hp Finite Element Methods for Singular Perturbations is popular PDF and ePub book, written by Jens M. Melenk in 2004-10-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, hp Finite Element Methods for Singular Perturbations can be Read Online from any device for your convenience.
hp Finite Element Methods for Singular Perturbations Book PDF Summary
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 Book of hp Finite Element Methods for Singular Perturbations PDF
- Author : Jens M. Melenk
- Release : 19 October 2004
- Publisher : Springer
- ISBN : 9783540457817
- Genre : Mathematics
- Total Page : 331 pages
- Language : English
- PDF File Size : 18,6 Mb
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