Poisson方程广义差分法中正定性的分析

Analysis of the Generalized Difference Method of Poissons Equation

广义差分法是偏微分方程数值解的一个新方法,为了得到更为直接的先验估计和误差估计,以Poisson方程为数学模型,通过直接证明双线性型a(·,·)的正定性得到了较为简洁的结果．

The generalized difference method is a new method of PDE numerical solution. In order to obtain the more direct prior estimate and error estimate, we obtain a better result by proving the positive character of bilinear form a（·,·） using the mathematical model of Poisson equation.