D-N交替法与Schwartz交替法的收敛关系分析

This paper has demonstrated that the Schwartz alternating process must converge if D-N alternating process has converged. Its technique is that the overlapping regions in Schwartz alternating process are considered as independent domains, then Schwartz alternating process could be transformed into D-N alter-nating process. Finally the convergence estimation of Schwartz alternating process could be obtained. The results show that its convergence rate is same as that of D-N alternating process.     

多子空间投影分解法及收敛特性分析

提出一种求解大型区域上电磁场边值问题的多子空间投影分解法,证明其具有几何的收敛速度,并且从理论上分析影响收敛速度的主要因素及收敛特性.该方法非常适合求解多枝区域上的问题,实际算例和理论分析完全一致.结果表明子区域间的连接边界越短,其收敛速度越快,且收敛速度主要取决于子区域间的关联网格点的个数.     

二阶自共轭椭圆型方程的一类等值面边值问题的极限性态及其在电法测井中的应用

在本文中,根据石油开发中的电法测井,我们提出并讨论了二阶自共轭椭圆型方程的一类等值面边值问题的极限性态,并根据实际中使用的电极系数据,采用固定的地层模型在计算机上进行了计算。