Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 335–353
Abstract
Adaptive finite element approximation for a constrained optimal control problem is studied. A posteriori error estimators equivalent to the $L^2$ norm of the approximation error are derived both for the state and the control approximation, which are particularly suitable for an adaptive multi-mesh finite element scheme and applications where $L^2$ error is more important. The error estimators are then implemented and tested with promising numerical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-771
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 335–353
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Convex optimal control problem adaptive finite element method $L^2$ norm equivalent a posteriori error estimate multi-meshes.