An efficient multilevel solution scheme for large scale non-linear systems

✍ Scribed by J. Fish; M. Pandheeradi; V. Belsky

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 921 KB
• Volume: 38
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620381002

✦ Synopsis

We present a new approach for the fast, efficient solution of large systems of non-linear equations arising from the finite element discretization. The proposed non-linear 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 the multigrid method, introduced by Brandt,' to form a fast, efficient solution method for non-linear problems. We present numerical performance studies that are indicative of the convergence properties as well as the stability of the new method.