Adaptive Block FSAI (ABF) is an algebraic preconditioner for the efficient parallel solution of symmetric positive definite (SPD) linear systems. However, the iteration count to convergence tends to grow when the number of processors increases. Coupling a Domain Decomposition Schur complement approach with ABF can help improve the preconditioner performance and scalability, reducing at the same time the construction and communication computational burden. Numerical results show that the proposed algorithm proves particularly efficient in parallel geomechanical simulations.
A parallel Domain Decomposition-Block FSAI preconditioner for geomechanical applications
FERRONATO, MASSIMILIANO;JANNA, CARLO;GAMBOLATI, GIUSEPPE
2013
Abstract
Adaptive Block FSAI (ABF) is an algebraic preconditioner for the efficient parallel solution of symmetric positive definite (SPD) linear systems. However, the iteration count to convergence tends to grow when the number of processors increases. Coupling a Domain Decomposition Schur complement approach with ABF can help improve the preconditioner performance and scalability, reducing at the same time the construction and communication computational burden. Numerical results show that the proposed algorithm proves particularly efficient in parallel geomechanical simulations.
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