基于对称化原理的对称区域分裂法

Symmetric Domain Decomposition Method Based on the Symmetric Principle

本文利用对称化原理,讨论了一种只需在子区域上计算两个完全独立子问题就可得到原问题解的对称区域分裂法,并用此方法求解线性算子方程和线性透射问题.此方法可作为并行算法在MIMD计算机上使用.

In the paper, a new symmetric domain decomposition method based on the symmetric principle has been proposed for calculating the exact solution of linear transmission problem. This is a special kind of parallel algorithm by which we can get the exact solution of original problem through solving two subproblems on the subdomain. This method can be used to solve the partial differential equations on the MIMD computer.