| Author | Jacob Fish, M. Pandheeradi and Vladimir Belsky |
|---|---|
| Title | An Efficient Multi-Level Solution Scheme for Large Scale Nonlinear Systems |
| Year | 1994 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 38 |
| Pages | 1597-1610 |
| Abstract | We present a new approach for the fast, efficient solution of large system of nonlinear equations arising from the finite element discretization. The proposed nonlinear solver builds on the advantages of the popular methods of solution that are currently being employed, while eliminating most of their undesirable features. It combines the well-known BFGS method with the FAS version of multigrid method, introduced by Brandt [1], to form a fast, efficient solution method for nonlinear problems. We present some numerical performance studies that are indicative of the convergence properties as well as the stability of the new method. |
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