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Multigrid Finite Element Method on Semi-Structured Grids for the Poroelasticity Problem

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • F. J. Gaspar

    (University of Zaragoza)

  • F. J. Lisbona

    (University of Zaragoza)

  • C. Rodrigo

    (University of Zaragoza)

Abstract

An efficient finite element multigrid method on semi-structured triangular grids, based on box-relaxation, is proposed for the poroelasticity problem. A stabilized finite element scheme for these equations, based on the perturbation of the flow equation is considered. Numerical results confirm the good performance of Vanka smoothers for this saddle point type problem.

Suggested Citation

  • F. J. Gaspar & F. J. Lisbona & C. Rodrigo, 2010. "Multigrid Finite Element Method on Semi-Structured Grids for the Poroelasticity Problem," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 343-350, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_36
    DOI: 10.1007/978-3-642-11795-4_36
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