椭圆问题有限元方程的区域分裂直接解法

A Direct Solution to Finite Element Equations for Elliptic Problems by Domain Decomposition

讨论了二阶椭圆边值问题有限元区域分裂算法，通过构造新型的基函数，建立了一种求解有限元离散方程的具有并行计算结构的直接解法．

The solution to the algebraic system arising from two-order elliptic variational problems and discretized via finite element methods is discussed. A direct solution is thus constructed on domain decomposition basis. The algorithms given are well suited to parallel computing architectures,and the conclusions remain valid and independent from the subdivision manner and the size of subdomain.