Stabilization arising from PGEM: A review and further developments

نویسندگان

  • Rodolfo Araya
  • Gabriel R. Barrenechea
  • Leopoldo P. Franca
  • Frederic Valentin
  • RODOLFO ARAYA
  • GABRIEL R. BARRENECHEA
  • LEOPOLDO P. FRANCA
چکیده

The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP’s in primal and mixed forms. Then, we extend such enrichment technique to a mixed singularly perturbed problem, namely, the generalized Stokes problem, and focus on a stabilized finite element method arising in a natural way after performing static condensation. The resulting stabilized method is shown to lead optimal convergences, and afterward, it is numerically validated.

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تاریخ انتشار 2007