| Domain Decomposition Method for the Forward-Backward Heat Equation |
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| 作者姓名： | 韩厚德 殷东生 |
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| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | Supported by the Special Funds for Major State BasicResearch Projects of China (No.G19990 32 80 2 ) |
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| 摘 要： | Theheat equation arises in a remarkable variety of physical applications. A non-overlaping domain decomposition method was constructed to obtain numerical solutions of the forward-backward heat equation. The primary advantage is that the method reduces the computation time tremendously. The convergence of the given method is established. The numerical performance shows that the domain decomposition method is effective.
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| 关 键 词： | 前向反馈热方程 数学物理学 域分解方法 数值解 边值问题 |
Domain Decomposition Method for the Forward-Backward Heat Equation |
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| HAN Houde,YIN Dongsheng.Domain Decomposition Method for the Forward-Backward Heat Equation[J].Tsinghua Science and Technology,2003,8(5):521-525. |
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| Authors: | HAN Houde YIN Dongsheng |
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| Institution: | HAN Houde,YIN DongshengDepartment of Mathematical Sciences,Tsinghua University,Beijing 100084,China |
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| Abstract: | The forward-backward heat equation arises in a remarkable variety of physical applications. A non-overlaping domain decomposition method was constructed to obtain numerical solutions of the forward-backward heat equation. The primary advantage is that the method reduces the computation time tremendously. The convergence of the given method is established. The numerical performance shows that the domain decomposition method is effective. |
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| Keywords: | forward-backward heat equation difference method domain decomposition method |
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