Use of Direct Solvers in TFETI Massively Parallel Implementation
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Springer
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Není ve fondu ÚK
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Abstract
The FETI methods blend iterative and direct solvers. The dual problem is solved iteratively using e.g. CG method; in each iteration, the auxiliary problems related to the application of an unassembled system matrix (subdomain problems’ solutions and projector application in dual operator) are solved directly. The paper deals with the comparison of the direct solvers available in PETSc on the Cray XE6 machine HECToR (PETSc, MUMPS, SuperLU) regarding their performance in the two most time consuming actions in TFETI – the pseudoinverse application and the coarse problem solution. For the numerical experiments, our novel TFETI implementation in FLLOP (FETI Light Layer on top of PETSc) library was used.
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domain decomposition, FETI, total FETI, TFETI, FLLOP, PETSc, parallel direct solver, pseudoinverse, natural coarse space matrix, coarse problem
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MANNNINEN, P. a P. ÖSTER, eds. Applied parallel and scientific computing: 11th International Conference, PARA 2012: Helsinki, Finland, June 10-13, 2012: revised selected papers. Berlin: Springer, 2013. s. 192-205.