两阶不定椭圆问题混合元和投影非协调元的区域分解法

Domain Decomposition Method for Mixed and Projection Nonconforming Element Method for Indefinite Second Order Elliptic Problem

对两阶非对称不定椭圆边值问题 ,在最小正则性假设下 ,对非拟一致网格 ,讨论了最低阶Raviart Thomas三角形元的混合元方法和投影非协调元方法的区域分解法 ,并得到了 GMRES方法收敛率的最优估计 .

The domain decomposition method for the lowest order Raviart Thomas triangular mixed element method and projection nonconforming element method with non quasi uniform partition is given for nonselfadjoint and indefinite second order elliptic problem under minimal regularity assumption,meanwhile an optimal convergence rate is obtained for GMRES method.