Finite element methods for optimal control problems governed by integral equations and integro-differential equations

Authors:
Hermann Brunner;Ningning Yan
Affiliations:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL, Canada;Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, A1C 5S7, Beijing, NL, China
Venue:
Numerische Mathematik
Year:
2005

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Abstract

In this paper, we analyze finite-element Galerkin discretizations for a class of constrained optimal control problems that are governed by Fredholm integral or integro-differential equations. The analysis focuses on the derivation of a priori error estimates and a posteriori error estimators for the approximation schemes.