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ArticleOriginal scientific text

Title

Error estimates for finite element approximations of elliptic control problems

Authors 1, 2, 3

Affiliations

  1. Friedrich-Schiller-Universität Jena, Institute for Applied Mathematics, D-07740 Jena, Germany
  2. Friedrich-Alexander-Universität Erlangen-Nürnberg, Institute for Applied Mathematics, D-91058 Erlangen, Germany
  3. Johann Radon Institute for Computational and Applied, Mathematics (RICAM), A-4040 Linz, Austria

Abstract

We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.

Keywords

ENG
Linear quadratic optimal control problems, elliptic equations, finite element approximations, error estimates

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2007/27/1
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Pages:
7-22
Main language of publication
English
Received
2006-02-27
Published
2007

DOI: 10.7151/dmdico1073

Exact and natural sciences