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Volume 5, Issue 3
$L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods

X. Xing & Y. Chen

Int. J. Numer. Anal. Mod., 5 (2008), pp. 441-456.

Published online: 2008-05

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  • 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.

  • Keywords

$L^∞$-error estimates, mixed finite element, optimal control.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-441, author = {X. Xing and Y. Chen}, title = {$L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/820.html} }
TY - JOUR T1 - $L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods AU - X. Xing & Y. Chen JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 441 EP - 456 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/820.html KW - $L^∞$-error estimates, mixed finite element, optimal control. AB -

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.

X. Xing and Y. Chen. (2008). $L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods. International Journal of Numerical Analysis and Modeling. 5 (3). 441-456. doi:
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