椭圆型方程有限体积法四边形单元的矩阵不对称性证明

Proof of Asymmetric Matrix of Quadrilateral for Finite Volume Method of Elliptic Equation

针对椭圆型方程有限体积法四边形单元,从推导过程和实例计算两方面证明了它的单元矩阵的不对称性,同时指出单纯形单元的矩阵是对称的.另外,通过实例说明这种不对称性是比较弱的,也指出了有限体积法的矩阵与有限元法的矩阵的异同.

The asymmetric matrix of quadrilateral for finite volume method of elliptic equation has been proved both from deduction and examplification, and it has been explained that the matrix of simple elements is symmetric. The case calculation shows that the asymmetric level is weak, and points out the similarity and contrast of matrixes of finite volume method and finite element method.