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Global-basis two-level method for indefinite systems. Part 2: computational issues

✍ Scribed by Yong Qu; Jacob Fish

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 208 KB
Volume: 49
Category: Article
ISSN: 0029-5981
DOI: 10.1002/1097-0207(20000930)49:3<461::aid-nme982>3.0.co;2-s

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✦ Synopsis

Algorithmic aspects and computational e$ciency of the global-basis two-level method are investigated in the context of symmetric inde"nite system of equations. The algorithm includes e$cient construction of the global-basis prolongator using Lanczos vectors, predictor}corrector smoothing procedures, and a heuristic two-level feedback loop aimed at ensuring convergence. Numerical experiments consisting of 3D Helmholtz equations and shear banding problems with strain softening demonstrate the excellent performance of the method.