Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems

نویسنده

  • XIAO CHUAN CAI
چکیده

Abstract The classical Schwarz alternating method has recently been generalized in several directions This e ort 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 de nite symmetric problems In this paper a general framework is developed for multiplicative Schwarz algorithms for nonsymmetric and inde nite problems Several applications are then discussed including two and multi level Schwarz methods and iterative substructuring algorithms Some new results on additive Schwarz methods are also presented

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تاریخ انتشار 1993