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ArticleOriginal scientific text

Title

Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems

Authors 1, 2, 1, 1

Affiliations

  1. Technische Universität Berlin, Institut für Mathematik, Germany
  2. Escuela Politécnica Nacional, Departamento de Matemática, Ecuador

Abstract

In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.

Keywords

ENG
elliptic optimal control problem, state constraints, error estimates, finite element discretization

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2010/30/2
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Pages:
221-236
Main language of publication
English
Received
2010-01-26
Published
2010

DOI: 10.7151/dmdico.1121

Exact and natural sciences