| 一类并行数值Schwarz格式的收敛性及比较定理 |
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| 引用本文： | 王凯,周荣富.一类并行数值Schwarz格式的收敛性及比较定理[J].高校应用数学学报(A辑),1994(4):373-382. |
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| 作者姓名： | 王凯 周荣富 |
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| 作者单位： | 青岛海洋大学，东南大学 |
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| 摘 要： | 本文对［１］给出的一类求解椭圆型偏微分方程的并行数值Ｓｃｈｗａｒｚ格式作了进一步的分析，给出了一个新的收敛定理，根据该收敛定理，可以把文［１］中的主要收敛快慢进行了比较，得出了一些比较结果。
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| 关 键 词： | 矩阵分裂 收敛性 椭圆型方程 并行史瓦慈法 |
THE CONVERGENCE AND COMPARISON THEOREMS FOR PARALLEL NUMERICAL SCHWARZ SCHEMES |
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| Wang Kai.THE CONVERGENCE AND COMPARISON THEOREMS FOR PARALLEL NUMERICAL SCHWARZ SCHEMES[J].Applied Mathematics A Journal of Chinese Universities,1994(4):373-382. |
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| Authors: | Wang Kai |
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| Institution: | Wang Kai(Ocean University of Qingdao)Zhou Rongfu; Yuan Jinyun(Southeast University) |
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| Abstract: | In this paper, the convergence conditions of iterative schemes of parallel numerical Schwarz method are discussed. A necessary and sufficient convergence theorem is demonstrated. From this theorem, the main convergence theorem of 1] can be derived as a corollary.The asymptotic convergence rates of the parallel numerical Schwarz schemes are analysised from the point of view of splitting matrix. Some new comparison theorems are given. |
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| Keywords: | Splitting Matrix Convergence Comparison Theorem Parallel Schwarz Method |
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