MIC(0) DD Preconditioning of FEM Elasticity Systems on Unstructured Tetrahedral Grids

Authors:
Nikola Kosturski
Affiliations:
Institute for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria 1113
Venue:
Large-Scale Scientific Computing
Year:
2009

Citing 3
Cited 0

Iterative solution methods

Iterative solution methods
An optimal order multilevel preconditioner with respect to problem and discretization parameters

Scientific computing and applications
Comparative analysis of mesh generators and MIC(0) preconditioning of FEM elasticity systems

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

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Abstract

In this study, the topics of grid generation and FEM applications are studied together following their natural synergy. We consider the following three grid generators: NETGEN, TetGen and Gmsh. The qualitative analysis is based on the range of the dihedral angles of the triangulation of a given domain. After that, the performance of two displacement decomposition (DD) preconditioners that exploit modified incomplete Cholesky factorization MIC(0) is studied in the case of FEM matrices arising from the discretization of the three-dimensional equations of elasticity on unstructured tetrahedral grids.