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A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem

In: Recent Progress in Computational and Applied PDES

Author

Listed:
  • Yanping Chen

    (Xiangtan University, ICAM)

  • Wenbin Liu

    (Xiangtan University, ICAM
    Kent University, CBS & IMS)

Abstract

In this paper, we present an a posteriori error analysis for the mixed finite element approximation of a linear quadratic control problem. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive mixed finite element methods for the control problem.

Suggested Citation

  • Yanping Chen & Wenbin Liu, 2002. "A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem," Springer Books, in: Tony F. Chan & Yunqing Huang & Tao Tang & Jinchao Xu & Long-An Ying (ed.), Recent Progress in Computational and Applied PDES, pages 123-134, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0113-8_8
    DOI: 10.1007/978-1-4615-0113-8_8
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