Nonlinear Schwarz-Fas Methods for Unstructured Finite Element Elliptic Problems
This paper provides extensions of an element agglomeration AMG method to nonlinear elliptic problems discretized by the finite element method on general unstructured meshes. The method constructs coarse discretization spaces and corresponding coarse nonlinear operators as well as their Jacobians. We introduce both standard (fairly quasi-uniformly coarsened) and non-standard (coarsened away) coarse meshes and respective finite element spaces. We use both kind of spaces in FAS type coarse subspace correction (or Schwarz) algorithms. Their performance is illustrated on a number of model problems. The coarsened away spaces seem to perform better than the standard spaces for problems with nonlinearities in the principal part of the elliptic operator.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15007244
- Report Number(s):
- UCRL-JC-150427; TRN: US200414%%480
- Resource Relation:
- Conference: Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, MA (US), 06/17/2003--06/20/2003; Other Information: PBD: 30 Sep 2002
- Country of Publication:
- United States
- Language:
- English
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