| Boundary Element Method with Non—overlapping Domain Decomposition for Diffusion Equation |
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| 作者姓名： | ZHUJialin ZHANGTaiping |
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| 作者单位： | FaultyofMathematicsandPhysics,ChongqingUniversity,Chongqing400044,P.R,China |
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| 摘 要： | A boundary element method based on non-overlapping domain decomposition method to solve the time-dependent diffusion equations is presented.The time-dependent fundamental solution is used in the formulation of boundary integrals and the time integratioin process always restarts from the initial time condition.The process of replacing the interface values,which needs a summation of boundary integrals related to the boundary values at previous time steps can be treated in parallel parallel iterative procedure,Numerical experiments demonstrate that the implementation of the present alogrithm is efficient.
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| 关 键 词： | 抛物型微分方程 扩散方程 边界元求解 |
Boundary Element Method with Non-overlapping Domain Decomposition for Diffusion Equation |
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| ZHUJialin ZHANGTaiping.Boundary Element Method with Non-overlapping Domain Decomposition for Diffusion Equation[J].Journal of Chongqing University,2002,1(1):47-52. |
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| Authors: | ZHU Jialin ZHANG TaipingFaculty of Mathematics and Physics Chongqing University Chongqing PR China |
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| Institution: | ZHU Jialin,ZHANG TaipingFaculty of Mathematics and Physics,Chongqing University,Chongqing400044,P.R. China |
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| Abstract: | A boundary element method based on non-overlapping domain decomposition method to solve the time-dependent diffusion equations is presented. The time-dependent fundamental solution is used in the formulation of boundary integrals and the time integration process always restarts from the initial time condition. The process of replacing the interface values, which needs a summation of boundary integrals related to the boundary values at previous time steps can be treated in parallel iterative procedure. Numerical experiments demonstrate that the implementation of the present algorithm is efficient. |
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| Keywords: | Diffusion equation Non-overlapping domain decomposition Boundary element |
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