Nonconforming finite element penalty method for stokes equation

摘要

A special penalty method is presented to improve the accuracy of the standard penalty method for solving stokes equation with nonconforming finite element. It is shown that this method with a larger penalty parameter can achieve the same accuracy as the standard method with a smaller penalty parameter. The convergence rate of the standard method is just half or- der of this penalty method when using the same penalty parameter, while the extrapolation method proposed by Faik et al can not yield so high accuracy of convergence. At last, we also get the super-convergence estimates for total flux.