Total FETI domain decomposition method and its massively parallel implementation

Authors:  T. Kozubek, V. Vondrák, M. Menšı́k, D. Horák, Z. Dostál, V. Hapla, P. Kabelı́ková, M. Čermák

Abstract: 
We describe an efficient massively parallel implementation of our variant of the FETI type domain decomposition method called Total FETI with a lumped preconditioner. A special attention is paid to the discussion of several variants of parallelization of the action of the projections to the natural coarse grid and to the effective regularization of the stiffness matrices of the subdomains. Both numerical and parallel scalability of the proposed TFETI method are demonstrated on a 2D elastostatic benchmark up to 314,505,600 unknowns and 4800 cores. The results are also important for implementation of scalable algorithms for the solution of nonlinear contact problems of elasticity by TFETI based domain decomposition method.

Keywords:
Domain decomposition method
FETI
Parallel implementation
Matrix regularization
Coarse problem
Scalability

Published in: Advances Engineering Software (Volume 60-61, june-july, 2013)

Publisher: Elsevier

ISSN Information: 0965-9978

Total FETI domain decomposition method and its massively parallel implementation

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