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[01434] Pointwise adaptive finite element method for the elliptic obstacle problem

  • Session Time & Room : 1C (Aug.21, 13:20-15:00) @D514
  • Type : Contributed Talk
  • Abstract : In this talk, I will discuss pointwise a posteriori error analysis of a finite element method for the obstacle problem. The reliability and the efficiency of the proposed a posteriori error estimator will be discussed. In the analysis, sign property of Lagrange multipliers, Green's function estimates and the barrier functions play a crucial role. The construction of the barrier functions is based on appropriate corrections of the conforming part of the solution obtained via an enriching operator. The use of the continuous maximum principle guarantees the validity of the analysis without mesh restrictions but shape regularity. Numerical results will be presented to illustrate the performance of a posteriori error estimator.
  • Classification : 65N15, 65N30
  • Format : Talk at Waseda University
  • Author(s) :
    • Kamana Porwal (Indian Institute of Technology Delhi, New Delhi)