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Volume 3, Issue 3
Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control

Y. Chen & W. Liu

Int. J. Numer. Anal. Mod., 3 (2006), pp. 311-321.

Published online: 2006-03

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  • Abstract

In this paper we present a priori error analysis for mixed finite element approximation of quadratic optimal control problems. Optimal a priori error bounds are obtained. Furthermore, super-convergence of the approximation is studied.

  • Keywords

optimal control, mixed finite element methods, error estimates, and superconvergence.

  • AMS Subject Headings

49J20, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-311, author = {Y. Chen and W. Liu}, title = {Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {311--321}, abstract = {

In this paper we present a priori error analysis for mixed finite element approximation of quadratic optimal control problems. Optimal a priori error bounds are obtained. Furthermore, super-convergence of the approximation is studied.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/903.html} }
TY - JOUR T1 - Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control AU - Y. Chen & W. Liu JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 311 EP - 321 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/903.html KW - optimal control, mixed finite element methods, error estimates, and superconvergence. AB -

In this paper we present a priori error analysis for mixed finite element approximation of quadratic optimal control problems. Optimal a priori error bounds are obtained. Furthermore, super-convergence of the approximation is studied.

Y. Chen and W. Liu. (2006). Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control. International Journal of Numerical Analysis and Modeling. 3 (3). 311-321. doi:
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