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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.

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