Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems
- Univ. of Kentucky, Lexington, KY (United States). Dept. of Mathematics
- New York Univ., NY (United States). Courant Inst. of Mathematical Sciences
The classical Schwarz alternating method has recently been generalized in several directions. This effort has resulted in a number of new powerful domain decomposition methods for elliptic problems, in new insight into multigrid methods, and in the development of a very useful framework for the analysis of a variety of iterative methods. Most of this work has focused on positive definite, symmetric problems. In this paper, a general framework is developed for multiplicative Schwarz algorithms for nonsymmetric and indefinite problems. Several applications are then discussed including two and multilevel Schwarz methods and iterative substructuring algorithms. Some new results on additive Schwarz methods are also presented.
- DOE Contract Number:
- FG02-88ER25053
- OSTI ID:
- 5944138
- Journal Information:
- SIAM Journal on Numerical Analysis (Society for Industrial and Applied Mathematics); (United States), Journal Name: SIAM Journal on Numerical Analysis (Society for Industrial and Applied Mathematics); (United States) Vol. 30:4; ISSN 0036-1429; ISSN SJNAAM
- Country of Publication:
- United States
- Language:
- English
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