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Parallel Multiblock Multigrid Algorithms for Poroelastic Models

In: Parallel Scientific Computing and Optimization

Author

Listed:
  • Raimondas Čiegis

    (Vilnius Gediminas Technical University)

  • Francisco Gaspar

    (Universidad de Zaragoza)

  • Carmen Rodrigo

    (Universidad de Zaragoza)

Abstract

The application of parallel multigrid for two-dimensional poroelastic model is investigated. First, a special stabilized finite difference scheme is proposed, which allows one to get a monotone approximation of the differential problem. The obtained systems of linear algebraic equations are solved by a multigrid method, when a domain is partitioned into structured blocks. This geometrical structure is used to develop a parallel version of the multigrid algorithm. The convergence for different smoothers is investigated, it is shown that the box Gauss–Seidel smoother is robust and efficient. Finally, the parallel multigrid method is tested for the Poisson problem.

Suggested Citation

  • Raimondas Čiegis & Francisco Gaspar & Carmen Rodrigo, 2009. "Parallel Multiblock Multigrid Algorithms for Poroelastic Models," Springer Optimization and Its Applications, in: Parallel Scientific Computing and Optimization, pages 169-180, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-09707-7_15
    DOI: 10.1007/978-0-387-09707-7_15
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