Name: hp-finite element methods for singular perturbations
SKU: 3485099
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Author: melenk

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portada hp-finite element methods for singular perturbations

hp-finite element methods for singular perturbations

Type

Physical Book

Publisher

Springer

Author

melenk

Language

English

Pages

318

ISBN

3540442014

ISBN13

9783540442011

Synopsis "hp-finite element methods for singular perturbations"

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.