各向异性外问题的并行Schwarz算法及其收敛性

A Parallel Schwarz Algorithm and Its Convergence for Exterior Anisotroplic Problems

对于无界区域各向异性常系数椭圆型偏微分方程,研究了一种并行Schwarz算法。在常数权因子下通过L ions的投影解释证明了其收敛性,在变权因子下改进了并行Schwarz算法,并分析了其收敛性。

We investigate a parallel Schware algorithm for the anisotropic elliptic PDEs with constant coefficients in unbounded domains.With the constant power factor we prove its convergence by Lions projection explanation.In the end,with variable weight factor we investigate a parallel Schware algorithm and analyze its convergence.