【摘要】 考虑二阶椭圆方程Dirichlet边值问题在正则矩形网格上k阶RaviartThomas混合有限元的超收敛.对有限元解经插值处理后,与通常的有限元最优误差估计相比,收敛速度提高了两阶.更多还原

【Abstract】 Superconvergence of the k -th Raviart-Thomas mixed finite element for the second order Dirichlet boundary value problem is considered on the regular rectangular meshes.The convergence rate can be increased by two orders compared with the ordinary optimal error estimation by the interpolated postprocessing technique.更多还原