Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 441–456
Abstract
In this paper, we investigate the $L^∞$-error estimates for the solutions of general optimal control problem by mixed finite element methods. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive $L^∞$-error estimates of optimal order both for the state variables and the control variable.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-820
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 441–456
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: $L^∞$-error estimates mixed finite element optimal control.