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03779nam a2200625 4500 |
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978-3-540-45781-7 |
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121227s2002 gw | s |||| 0|eng d |
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|a 9783540457817
|9 978-3-540-45781-7
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|a 10.1007/b84212
|2 doi
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|a QA299.6-433
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|a MAT034000
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|a Melenk, Jens M.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a hp-Finite Element Methods for Singular Perturbations
|h [electronic resource] /
|c by Jens M. Melenk.
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|a 1st ed. 2002.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2002.
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|a XIV, 326 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1796
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|a 1.Introduction -- Part I: Finite Element Approximation -- 2. hp-FEM for Reaction Diffusion Problems: Principal Results -- 3. hp Approximation -- Part II: Regularity in Countably Normed Spaces -- 4. The Countably Normed Spaces blb,e -- 5. Regularity Theory in Countably Normed Spaces -- Part III: Regularity in Terms of Asymptotic Expansions -- 6. Exponentially Weighted Countably Normed Spaces -- Appendix -- References -- Index.
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|a 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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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Applied mathematics.
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|a Engineering mathematics.
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|a Mechanical engineering.
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|a Numerical analysis.
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|a Global analysis (Mathematics).
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|a Manifolds (Mathematics).
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|a Partial differential equations.
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|a Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M12007
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|a Mathematical and Computational Engineering.
|0 http://scigraph.springernature.com/things/product-market-codes/T11006
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|a Mechanical Engineering.
|0 http://scigraph.springernature.com/things/product-market-codes/T17004
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|a Numerical Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M14050
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|a Global Analysis and Analysis on Manifolds.
|0 http://scigraph.springernature.com/things/product-market-codes/M12082
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|a Partial Differential Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12155
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783662175804
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|i Printed edition:
|z 9783540442011
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1796
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|u https://doi.org/10.1007/b84212
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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