An Algebraic Approach to the Schwarz Alternating Methods
Received:June 06, 1994  
Key Words: Schwarz alternating method   space decomposition   convergence rate.  
Fund Project:This work was supported by the National Science Foundation of China.
Author NameAffiliation
Huang Jianguo Dept. of Appl. Math.
Shanghai Jiao Tong University
200240 
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Abstract:
      In this paper, the choice of the optimal parameters for a relaxation additive Schwarz alternating method in two subregions case is obtained by an algebraic method, which shows that the arithmetic average is the best. A counterexample illustrates that the same result is not true for many subregions case. In the last, this technique is applied to demonstrate some well known results simply and intuitively.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.02.001
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