| Author | Yong Qu and Jacob Fish |
|---|---|
| Title | Global Basis Two-Level Method for Indefinite Systems. Part 2: Computational Issues |
| Year | 1999 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 49 |
| Pages | 461-478 |
| Abstract | Algorithmic aspects and computational efficiency of the global basis two-level method are investigated in the context of symmetric indefinite system of equations. The algorithm include efficient construction of the global basis prolongator using Lanczos vectors, predictor-corrector smoothing procedures, and 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. |