弱条件下二阶椭圆问题求解的数值积分格式与收敛性分析

摘要

给出了一种带有数值积分方案的求解二阶椭圆问题的有限元计算格式.与精确方法相比,仍保持收敛性和收敛价,并在较弱条件下给出了收敛性分析.数值算例说明算法可行,并且与理论分析结果一致.%Compared with the traditional finite element method to solve second order elliptic problem,a new discrete scheme is established by using numerical integration.Under weaker conditions,some better convergence results are obtained,and two numerical examples are given.