| 解一类半线性外边值问题的自然边界元与有限元耦合法 |
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| 引用本文： | 吴正朋,余德浩.解一类半线性外边值问题的自然边界元与有限元耦合法[J].计算数学,2004,26(2):237-246. |
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| 作者姓名： | 吴正朋 余德浩 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京,100080；北京广播学院理学院应用数学系,北京,100024
2. 中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京,100080 |
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| 基金项目： | 国家重点基础研究专项经费(G19990328)，国家广电总局科研基金(BG0103)资助项目. |
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| 摘 要： | In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.
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| 关 键 词： | 有限元 自然边界元 Galerkin逼近 耦合 |
THE COUPLING OF NATURAL BOUNDARY ELEMENT AND FINITE ELEMENT FOR SEMILINEAR BOUNDARY VALUE PROBLEMS |
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| Wu Zhengpeng.THE COUPLING OF NATURAL BOUNDARY ELEMENT AND FINITE ELEMENT FOR SEMILINEAR BOUNDARY VALUE PROBLEMS[J].Mathematica Numerica Sinica,2004,26(2):237-246. |
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| Authors: | Wu Zhengpeng |
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| Institution: | Wu Zhengpeng (Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of
Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080; Department of Applied Mathematics, College of Sciences, Beijing Broadcasting Institute,
Beijing, 100024)
Yu Dehao
(Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080) |
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| Abstract: | In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O(hn). Finally, we also give two numerical examples. |
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| Keywords: | finite element method natural boundary element method Galerkin approximation |
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