| PARALLEL SCHWARZ ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES |
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| 引用本文： | 芮洪兴,羊丹平. PARALLEL SCHWARZ ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES[J]. 高等学校计算数学学报(英文版), 1997, 0(1) |
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| 作者姓名： | 芮洪兴 羊丹平 |
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| 作者单位： | Rui Hong- xingYang Dan-ping Mathematics Department，Shangdong University，Jinan 250100，PRC. Mathematics Department，Shangdong University，Jinan 250100，PRC. |
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| 基金项目： | This work was supported by Natural Science Foundation of China and Shandong Province. |
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| 摘 要： | In this paper we introduce two kinds of parallel Schwarz domain decomposition me thods for general, selfadjoint, second order parabolic equations and study the dependence of their convergence rates on parameters of time-step and space-mesh. We prove that the, approximate solution has convergence independent of iteration times at each time-level. And the L~2 error estimates are given.
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PARALLEL SCHWARZ ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES* |
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| Rui Hong- xingYang Dan-ping Mathematics Department,Shangdong University,Jinan ,PRC. Mathematics Department,Shangdong University,Jinan ,PRC.. PARALLEL SCHWARZ ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES*[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1997, 0(1) |
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| Authors: | Rui Hong- xingYang Dan-ping Mathematics Department Shangdong University Jinan PRC. Mathematics Department Shangdong University Jinan PRC. |
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| Affiliation: | Rui Hong- xingYang Dan-ping Mathematics Department,Shangdong University,Jinan 250100,PRC. Mathematics Department,Shangdong University,Jinan 250100,PRC. |
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| Abstract: | In this paper we introduce two kinds of parallel Schwarz domain decomposition me thods far general , selfad joint , second order parabolic equations and study the dependence of their conver-gence rates on parameters of time-step and space-mesh. We prove that the approximate solution has convergence independent of iteration times at each time level. And the L~2 error estimates are given. |
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| Keywords: | Schwarz algorithms parabolic equations domain decomposition error estimates parallel algorithm. |
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