静电场第四类非混合边值问题的弱问题

本文在Galerkin意义下讨论了静电场第四类非混合边值问题的有限元法，证明了静电场第四类非混合边值问题的弱问题的等价性，广义解在相差一个常数意义下唯一及广义解唯一的条件，并将弱问题的积分方程离散化，对刚度矩阵的形成进行了分析，算例验证了本文所述定理和方法。

The Weak Problems of the Fourth Non-mixed Boundary Value Problems of Electrostatic Field

In the sense of Galerkin,this paper discusses the finite element method of the fourth non-mixed boundary value problems of electrostatic field. The equivalence, solution uniqueness and its condition with short of a constant of the weak problems of the fourth non-mixed boundary value prolems of electrostatic field are proved. The integral equation of the weak problems is changed into corresponding algebraic equations. The formation of the coefficient matrix and the right-hand vector of the algebraic equations ir. analysed. Moreover, an approximation example is given, which is verified the theorems and method.