二阶椭圆型方程的有限体积解法

Application of Finite Volume Method in Second Order Elliptic Differential Equations

给出了有限体积法处理问题的一般原理 ,在现有文献的基础上对有限体积算法进行了改进 ,详细推导了一类二阶椭圆型方程的有限体积法列式 ,并结合具体的算例比较了有限体积法同有限元的计算精度 ,最后总结了有限体积法的若干优越性。

In this paper the common principle of the finite volume method is presented, and the algorithm of this method is improved in part based on the existing literature. The formulation of one kind of second order elliptic differential equations is derived in details. The results of the calculations are compared with finite element solutions. Moreover the advantage of finite volume method is shown.