| A COLLOCATION METHOD FOR THE CONDUCTIVITY PROBLEM WITH DISCONTINUOUS COEFFICIENT |
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| 引用本文： | 杨洪勇 杨昕 王彦博. A COLLOCATION METHOD FOR THE CONDUCTIVITY PROBLEM WITH DISCONTINUOUS COEFFICIENT[J]. 高等学校计算数学学报(英文版), 2005, 14(2): 157-170 |
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| 作者姓名： | 杨洪勇 杨昕 王彦博 |
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| 作者单位： | Institute of Matehmatics，Fudan University，Shanghai 200433，PRC.，Institute of Matehmatics，Fudan University，Shanghai 200433，PRC.，Department of mathematics，Fudan University，Shanghai 200433，PRC. |
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| 摘 要： | In this paper, a new collocation BEM for the Robin boundary value problem of the conductivity equation ▽(γ▽u) = 0 is discussed, where the 7 is a piecewise constant function. By the integral representation formula of the solution of the conductivity equation on the boundary and interface, the boundary integral equations are obtained. We discuss the properties of these integral equations and propose a collocation method for solving these boundary integral equations. Both the theoretical analysis and the error analysis are presented and a numerical example is given.
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| 关 键 词： | 分段常数 罗宾边界条件 边界积分方程 配置法 |
A COLLOCATION METHOD FOR THE CONDUCTIVITY PROBLEM WITH DISCONTINUOUS COEFFICIENT |
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| Yang Hongyong,Yang Xin,Wang Yanbo. A COLLOCATION METHOD FOR THE CONDUCTIVITY PROBLEM WITH DISCONTINUOUS COEFFICIENT[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2005, 14(2): 157-170 |
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| Authors: | Yang Hongyong Yang Xin Wang Yanbo |
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| Affiliation: | 1. Institute of Matehmatics, Fudan University, Shanghai 200433, PRC.
2. Department of mathematics, Fudan University, Shanghai 200433, PRC. |
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| Abstract: | In this paper, a new collocation BEM for the Robin boundary value problem of the conductivity equation ▽(γ▽u) = 0 is discussed, where the γ is a piecewise constant function. By the integral representation formula of the solution of the conductivity equation on the boundary and interface, the boundary integral equations are obtained. We discuss the properties of these integral equations and propose a collocation method for solving these boundary integral equations. Both the theoretical analysis and the error analysis are presented and a numerical example is given. |
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| Keywords: | piecewise constant coefficient Robin boundary condition boundary integral equations collocation method. |
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