A Posteriori Error Estimates for Parameter Identification

Roland Becker () and Boris Vexler ()
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Roland Becker: Université de Pau et des Pays de l’Adour, Laboratoire de Mathematiques Appliquees
Boris Vexler: Universität Heidelberg, Institut fü Angewandte Mathematik

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 131-140 from Springer

Abstract: Summary In this paper we present an a posteriori error estimator for parameter identification problems governed by partial differential equations. This estimator aims to control the error in parameters due to the discretization by finite elements. It is used in an adaptive mesh refinement algorithm generating a sequence of locally refined meshes for efficient computation of the parameters. Comparison with some heuristic mesh refinement algorithms is done for a simple example inverse problem.

Keywords: Error Estimator; Posteriori Error; Mesh Refinement; Posteriori Error Estimate; Fixed Mesh (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_10

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DOI: 10.1007/978-3-642-18775-9_10

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