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BL
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| Record Number
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878384
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| Main Entry
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Verfürth, Rüdiger.
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| Title & Author
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A review of a posteriori error estimation and adaptive mesh-refinement techniques /\ Rüdiger Verfürth.
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| Publication Statement
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Chichester ;New York :: Wiley-Teubner,, ©1996.
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| Series Statement
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Wiley-Teubner series, advances in numerical mathematics
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| Page. NO
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vi, 127 pages :: illustrations ;; 26 cm
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| ISBN
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0471967955
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: 3519026058
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: 9780471967958
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: 9783519026051
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| Bibliographies/Indexes
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Includes bibliographical references (pages 121-126) and index.
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| Abstract
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"Self-adaptive discretization methods have gained an enormous importance for the numerical solution of partial differential equations which arise in physical and technical applications. The aim of these methods is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools utilised are a posteriori error estimators and indicators which are able to give global and local information on the error of the numerical solution, using only the computed numerical solution and known data of the problem." "Presenting the most frequently used error estimators which have been developed by various scientists in the last two decades, this book demonstrates that they are all based on the same basic principles. These principles are then used to develop an abstract framework which is able to handle general nonlinear problems. The abstract results are applied to various classes of nonlinear elliptic partial differential equations from, for examples, fluid and continuum mechanics, to yield reliable and easily computable error estimators. The book covers stationary problems but omits transient problems, where theory is often still too complex and not yet well developed."--Jacket.
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| Subject
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Differential equations, Elliptic-- Numerical solutions.
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Differential equations, Nonlinear-- Numerical solutions.
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Error analysis (Mathematics)
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| Subject
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Adaptives Gitter
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Analyse numérique.
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| Subject
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A-posteriori-Abschätzung
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| Subject
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Calcul d'erreur.
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Differential equations, Elliptic-- Numerical solutions.
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Differential equations, Nonlinear-- Numerical solutions.
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Équations aux dérivées partielles.
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Error analysis (Mathematics)
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| Subject
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Finite-Elemente-Methode
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| Subject
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Lokale Verfeinerung
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| Subject
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Nichtlineare elliptische Differentialgleichung
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| Dewey Classification
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515/.353
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| LC Classification
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QA297.V45 1996
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| NLM classification
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MAT 674fstub
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SK 910rvk
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