Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization

Abderrahim Ouazzi () and Stefan Turek ()
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Abderrahim Ouazzi: University of Dortmund, Institute of Applied Mathematics
Stefan Turek: University of Dortmund, Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 520-527 from Springer

Abstract: 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.

Keywords: Storage Technique; Nonzero Column; Nonzero Matrix Element; Jump Term; Outer Iteration Loop (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_48

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DOI: 10.1007/978-3-540-34288-5_48

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