| 二维热传导方程的有限差分区域分解算法 |
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| 引用本文： | 李宛珊,王文洽.二维热传导方程的有限差分区域分解算法[J].山东大学学报(理学版),2011,46(12):1-5,12. |
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| 作者姓名： | 李宛珊 王文洽 |
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| 作者单位： | 山东大学数学学院,山东济南,250100 |
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| 基金项目： | 国家自然科学基金资助项目(10671113) |
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| 摘 要： | 对于应用区域分解方法求解二维热传导方程的问题,提出一种绝对稳定的显-隐差分格式。该算法在内边界点上采用显格式计算,在子区域内部采用全隐格式;之后给出了算法的稳定性和收敛性分析,并用数值结果验证了相关结论。
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| 关 键 词： | 二维热传导方程 区域分解算法 有限差分 并行计算 |
Algorithms of finite difference domain decomposition for a two-dimensional heat equation |
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| LI Wan-shan,WANG Wen-qia.Algorithms of finite difference domain decomposition for a two-dimensional heat equation[J].Journal of Shandong University,2011,46(12):1-5,12. |
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| Authors: | LI Wan-shan WANG Wen-qia |
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| Institution: | LI Wan-shan,WANG Wen-qia*(School of Mathematics,Shandong University,Jinan 250100,Shandong,China) |
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| Abstract: | Considering algorithms of finite difference domain decomposition for a two-dimensional heat equation,a new kind of explicit-implicit difference scheme which is of unconditional stability is developed.The corresponding schemes consist of one explicit difference scheme at the interface point and fully implicit schemes in the sub-domains.The stability and error estimates of the schemes are derived.Finally,a numerical experiment is presented which confirm the results and conclusions. |
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| Keywords: | two-dimensional heat equation domain decomposition algorithm finite difference parallel computation |
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