Parallel Preconditioning Methods with Selective Fill-Ins and Selective Overlapping for Ill-Conditioned Problems in Finite-Element Methods

Authors:
Kengo Nakajima
Affiliations:
Department of Earth and Planetary Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 112-0002, Japan
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007
Year:
2007

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Abstract

In the present paper, parallel preconditioning methods with selective fill-ins and selective overlapping for contact problems have been developed and evaluated on PC clusters with 64 cores. The proposed methods provide robust convergence with efficiency. Finally, the proposed methods have been applied to ill-conditioned problems with heterogeneity and robustness, and their efficiency has been evaluated on TSUBAME super-cluster with up to 512 cores.