| THE CONVERGENCE OF A DOMAIN DECOMPOSITION ALGORITHM FOR PARABOLIC PROBLEMS |
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| 作者姓名： | 储德林 周方俊 |
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| 作者单位： | Department of Applied Mathematics，Tsinghua University，Beijing，100084，PRC.，Department of Applied Mathematics，Tsinghua University，Beijing，100084，PRC. |
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| 摘 要： | At recent, Hourgat et gave a domain decomposition algorithm for elliptic problems which can be implemented in parallel. Many numerical experiments have illustrated its efficiency. In the present paper, we apply this algorithm to solve the discrete parabolic problems, analyse its convergence and show that its convergence rale is about (1 - 2p + σp2 ) which is nearly optimal and independent of the parameter τ, where σ τ O((1 +H )(1 + ln(H / h))2 ). 0 < p < 1 / σ,τ,h,H are the time step size, finite element parameter and subdomain diameter, respectively.
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THE CONVERGENCE OF A DOMAIN DECOMPOSITION ALGORITHM FOR PARABOLIC PROBLEMS |
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| Chu Dc-lin.THE CONVERGENCE OF A DOMAIN DECOMPOSITION ALGORITHM FOR PARABOLIC PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1993(2). |
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| Authors: | Chu Dc-lin |
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| Institution: | Chu Dc-lin Department of Applied Mathematics,Tsinghua University,Beijing,100084,PRC. Zhou Fang-jun Department of Applied Mathematics,Tsinghua University,Beijing,100084,PRC. |
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| Abstract: | |
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| Keywords: | Domain decomposition trace average operator convergence parabolic problem |
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