Error analysis for P1-exact schemes

Francois Courty Tristan Roy Bruno Koobus Mariano Vázquez Alain Dervieux

Proceedings of Finite Element for Flow Problems conference, Swansea, UK, April 4-6 2005 (8 pages)

Abstract: We propose a mesh adaptation strategy relying on a continuous error model and its minimisation in a L2 norm. The error model is of a priori type and supposes the solution of a linearised system. The error minimisation takes the form of an optimal control problem with an adjoint state. This is applied to a Dirichlet problem discretised with the usual linear continuous niteelement approximation. A numerical example is given.

Keywords: Finite element, Mesh adaptation, A priori error, Adjoint state

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@inproceedings{CRKVD05,
  author = {Courty, B. and Roy, T. and Koobus, B. and  V{\'a}zquez, M. and Dervieux, A.},
  title = {Error analysis for {P1}-exact schemes},
  booktitle = {Finite Element for Flow Problems, Swansea, UK, April 4-6, 2005},
  location = {Swansea, UK},
  year = 2005
}