| 抛物型方程初边值问题的弱形式Schwarz交替算法及L~2误差估计 |
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| 引用本文： | 芮洪兴.抛物型方程初边值问题的弱形式Schwarz交替算法及L~2误差估计[J].山东大学学报(理学版),1996(1). |
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| 作者姓名： | 芮洪兴 |
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| 作者单位： | Dept. of Math.，Shandong Univ.，Jinan |
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| 基金项目： | 国家攀登计划,国家教委博士点基金 |
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| 摘 要： | 考虑求解抛物型方程初边值问题的区域分裂算法，我们给出了时间变量离散的弱形式Ｓｃｈｗａｒｚ交替算法，并给出了算法的Ｌ２－模及Ｈ１－模误差估计
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| 关 键 词： | 抛物方程 Schwarz交替法 误差估计 |
THE VARIATIONAL FORM OF SCHWARZ ALTERNATING METHOD FOR PARABOLIC PROBLEM AND ERROR ESTIMATES |
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| Rui Hongxing.THE VARIATIONAL FORM OF SCHWARZ ALTERNATING METHOD FOR PARABOLIC PROBLEM AND ERROR ESTIMATES[J].Journal of Shandong University,1996(1). |
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| Authors: | Rui Hongxing |
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| Abstract: | The domain decomposition method for initial-boundary problems for parabolic equations are considered. The time - discrete variational form of Schwarz alternating method for parabolic problem is established,and the L2-error and H1-error estimates are given. |
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| Keywords: | parabolic equation Schwarz alternating method error estimate |
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