| 调和方程Neumann外问题的有限元与边界积分方程法 |
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| 引用本文： | 杜其奎. 调和方程Neumann外问题的有限元与边界积分方程法[J]. 淮北煤炭师范学院学报(自然科学版), 1995, 0(4) |
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| 作者姓名： | 杜其奎 |
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| 作者单位： | 淮北煤师院数学系 |
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| 基金项目： | 安徽省高校自然科学基金 |
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| 摘 要： | 本文利用有限元与边界积分方程耦合方法,研究平面上的调和方程Neumann外区域问题,构造出弱形式及其相应等价的算子方程,借助于线性算子的性质,证明了弱形式解的存在性和唯一性。
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| 关 键 词： | 边界积分 调和方程 弱解 适定性 |
The Method of Finite Element and Boundary Integral Equation for the Neumann Problem of Harmonic Euqation with Exterior Domain |
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| Du Qikui. The Method of Finite Element and Boundary Integral Equation for the Neumann Problem of Harmonic Euqation with Exterior Domain[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 1995, 0(4) |
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| Authors: | Du Qikui |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,we apply the approach of finite element and boundary integral equation to study an exterior Neumann problem in the plane,and the weak formulation of the problem and its corresponding equivalent operator equation is worked out The exsitence and uniqueness of the weak solution are proved by the properties of the linear operator. |
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| Keywords: | Boundary integral Harmonic equation Weak solution Well-posedness. |
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