| D-N交替法与Schwartz交替法的收敛关系分析 |
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| 引用本文： | 孙连友,洪伟.D-N交替法与Schwartz交替法的收敛关系分析[J].高等学校计算数学学报,2003,25(4):362-371. |
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| 作者姓名： | 孙连友 洪伟 |
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| 作者单位： | 东南大学毫米波国家重点实验室计算电磁学研究中心,南京,210096 |
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| 基金项目： | 国家863重大项目(2002AA123031)，国家自然科学基金，海外青年合作研究基金(6504001167)，国家杰出青年科学基金(60225001) |
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| 摘 要： | This paper has demonstrated that the Schwartz alternating process must converge if D-N alternating process has converged. Its technique is that the overlapping regions in Schwartz alternating process are considered as independent domains, then Schwartz alternating process could be transformed into D-N alter-nating process. Finally the convergence estimation of Schwartz alternating process could be obtained. The results show that its convergence rate is same as that of D-N alternating process.
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| 关 键 词： | D-N交替法 Schwartz交替法 区域分解法 收敛性 松弛因子 |
| 修稿时间： | 2002年8月29日 |
ANALYSIS OF THE CONVERGENCE RELATION BETWEEN D-N ALTERNATING PROCESS AND SCHWARTZ ALTERNATING PROCESS |
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| Sun Lianyou Hong Wei.ANALYSIS OF THE CONVERGENCE RELATION BETWEEN D-N ALTERNATING PROCESS AND SCHWARTZ ALTERNATING PROCESS[J].Numerical Mathematics A Journal of Chinese Universities,2003,25(4):362-371. |
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| Authors: | Sun Lianyou Hong Wei |
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| Abstract: | This paper has demonstrated that the Schwartz alternating process must converge if D-N alternating process has converged. Its technique is that the overlapping regions in Schwartz alternating process are considered as independent domains, then Schwartz alternating process could be transformed into D-N alternating process. Finally the convergence estimation of Schwartz alternating process could be obtained. The results show that its convergence rate is same as that of D-N alternating process. |
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| Keywords: | domain decomposition method overlapping domain non-overlapping domain |
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