| 热方程的边界积分与有限元方法耦合 |
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| 引用本文： | 杜其奎,冯崇岭. 热方程的边界积分与有限元方法耦合[J]. 淮北煤炭师范学院学报(自然科学版), 1995, 0(2) |
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| 作者姓名： | 杜其奎 冯崇岭 |
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| 作者单位： | 淮北煤师院数学系(杜其奎)，淮北煤师院计算中心(冯崇岭) |
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| 摘 要： | 本文对热方程外区域问题,应用边界积分与有限元耦合方法,给出了此法的理论分析:导出了耦合问题的变分形式,证明了耦合变分问题的适定性,且获得了逼近解的收敛性及误差估计。
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| 关 键 词： | 热方程 边界积分 有限元法 耦合 Galerkin逼近 |
On the Coupling of Boundary Integral and Finite Element Methods for the Heat Equation |
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| Du Qikui Eeng Chongling. On the Coupling of Boundary Integral and Finite Element Methods for the Heat Equation[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 1995, 0(2) |
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| Authors: | Du Qikui Eeng Chongling |
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| Affiliation: | Du Qikui Eeng Chongling(Department of Mathematics) (Center of Computation) |
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| Abstract: | In this paper, we apply the coupling method of boundary integral and finite ele-ment methods to the heat equation preblem with exterior domain, and we present the theoretical analysis of the coupling method : we derive the variational formulation of the coupling problem , the wellposedness of the solution to the coupling varia tional problem is proved and the convergence and optimal orror estimates for the approximation solution are obtained |
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| Keywords: | heat equation boundary integral finite clement method coupling Gaterkin approximation |
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