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

  • Authors:
  • Nikola Kosturski;Svetozar Margenov

  • Affiliations:
  • Institute for Parallel Processing, Bulgarian Academy of Sciences;Institute for Parallel Processing, Bulgarian Academy of Sciences

  • Venue:
  • NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
  • Year:
  • 2006

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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: Triangle, NETGEN and Gmsh. The quantitative analysis is based on the number of elements/nodes needed to obtain a triangulation of a given domain, satisfying a certain minimal angle condition. 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 two-dimensional equations of elasticity on nonstructured grids.