调和方程Neumann外问题的有限元与边界积分方程法

The Method of Finite Element and Boundary Integral Equation for the Neumann Problem of Harmonic Euqation with Exterior Domain

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。

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.