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CONVERGENCE RATE ANALYSIS OF MULTIPLICATIVE SCHWARZ ALGORITHM FOR ELLIPTIC VARIATIONAL INEQUALITIES

CONVERGENCE RATE ANALYSIS OF MULTIPLICATIVE SCHWARZ ALGORITHM FOR ELLIPTIC VARIATIONAL INEQUALITIES
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摘要 Considering multiplicative Schwarz algorithm for solving algebraic obstacle problems, we show the geometric convergence of the algorithm by the use of discrete maximum principle. We also get a decay rate bound independent of the meshsize for the iterative error and illustrate the method by some numerical experiments. Considering multiplicative Schwarz algorithm for solving algebraic obstacle problems, we show the geometric convergence of the algorithm by the use of discrete maximum principle. We also get a decay rate bound independent of the meshsize for the iterative error and illustrate the method by some numerical experiments.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2001年第3期247-254,共8页 系统科学与复杂性学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China and LSEC.
关键词 Variational INEQUALITIES OBSTACLE problems MULTIPLICATIVE SCHWARZ algo- rithms iteration error. Variational inequalities, obstacle problems, multiplicative Schwarz algo- rithms, iteration error.
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  • 1吕涛,区域分解算法,1992年
  • 2吕涛,Syst Sci Math Sci,1991年,4期,340页
  • 3郭友中,变分不等方程及其应用,1991年

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