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- chapterMarch 2009
MIC(0) DD Preconditioning of FEM Elasticity Systems on Unstructured Tetrahedral Grids
Large-Scale Scientific ComputingMarch 2009, Pages 688–695https://doi.org/10.1007/978-3-540-78827-0_79In 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 ...
- ArticleAugust 2006
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 applicationsPages 74–81In 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 ...
- articleMay 2005
Displacement decomposition and parallelisation of the PCG method for elasticity problems
International Journal of Computational Science and Engineering (IJCSE), Volume 1, Issue 2-4Pages 183–191https://doi.org/10.1504/IJCSE.2005.009702This paper describes the displacement decomposition for elasticity problems solved by the finite element method. This decomposition can be used for parallel implementation of the conjugate gradient solvers and construction of parallelisable ...
- articleJanuary 2003
Space decomposition preconditioners and their application in geomechanics
Mathematics and Computers in Simulation (MCSC), Volume 61, Issue 3-6Pages 409–420https://doi.org/10.1016/S0378-4754(02)00096-4This paper addresses the use of space decomposition preconditioners for the numerical solution of boundary value problems. As special cases, it deals with the displacement decomposition (DiD) and overlapping domain decomposition (DD) preconditioners. A ...