各向异性外问题的有限元并行Schwarz算法

A parallel schwarz method for anisotropic elliptic exterior problems

对于无界区域各向异性常数系数椭圆型偏微分方程研究了一种有限元并行Schwarz算法。基于Dryja和Widlund的子结构思想,借助于共轭梯度法实现其计算并行,并得出有限元并行Schwarz算法收敛到有限元解。最后,再通过Lions投影在变权因子下改进了并行Schwarz算法并分析了其收敛性。

A parallel Schware method for the anisotropic elliptic PDEs with constant coefficients in unbounded domains is investigated.In the finite element situation,we prove its convergence with conjugate gradient method.In the end,in variable weight factor we investigate a parallel Schware method and analyze its convergence.