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Article Dans Une Revue Advances in Engineering Software Année : 2012

Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique

Résumé

This paper details the software implementation of the ARAS preconditioning technique (Dufaud T, Tromeur- Dervout D. Aitken's acceleration of the Resctricted Additive Schwarz preconditioning using coarse approximations on the interface. CR Math Acad Sci Paris 2010;348(13-14):821-4), in the PETSc framework. Especially, the PETSc implementation of interface operators involved in ARAS and the introduction of a two level of parallelism in PETSc for the RAS are described. The numerical and parallel implementation performances are studied on academic and industrial problems, and compared with the RAS preconditioning. For saving computational time on industrial problems, the Aitken's acceleration operator is approximated from the singular values decomposition technique of the RAS iterate solutions.

Dates et versions

hal-00866310 , version 1 (26-09-2013)

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Citer

Thomas Dufaud, Damien Tromeur-Dervout. Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique. Advances in Engineering Software, 2012, 53, pp.33-44. ⟨10.1016/j.advengsoft.2012.07.005⟩. ⟨hal-00866310⟩
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