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Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Abderrahim Ouazzi

    (University of Dortmund, Institute of Applied Mathematics)

  • Stefan Turek

    (University of Dortmund, Institute of Applied Mathematics)

Abstract

We study edge-oriented FEM stabilizations w.r.t. linear multigrid solvers and data structures with the goal to examine the efficiency of such stabilizations due to the extending matrix stencil which is not supported by standard FEM data structures. A new edge-oriented data structure has been developed to support the additional coupling. So, the local element-wise and edge-wise matrices are easily deduced from the global ones. Accordingly, efficient Vanka smoothers are introduced, namely a full cell-oriented and an edge-oriented Vanka smoother so that it becomes possible to privilege edge-oriented stabilization for CFD simulations.

Suggested Citation

  • Abderrahim Ouazzi & Stefan Turek, 2006. "Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 520-527, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_48
    DOI: 10.1007/978-3-540-34288-5_48
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