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A Posteriori Error Estimation Techniques for Finite Element Methods
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A Posteriori Error Estimation Techniques for Finite Element Methods

Rüdiger Verfürth

Abstract

Self-adaptive discretization methods nowadays are an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. In this monograph we review the most frequently us ... More

Keywords: a posteriori error indicators, self-adaptive discretizations, finite element methods, elliptic equations, parabolic equations, finite volume methods

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780199679423
Published to Oxford Scholarship Online: May 2013 DOI:10.1093/acprof:oso/9780199679423.001.0001

Authors

Affiliations are at time of print publication.

Rüdiger Verfürth, author
Full Professor, Faklutät für Mathematik, Ruhr-Universität Bochum

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