简介:Inthispaperwedescribeamulti-gridalgorithmformixedproblemswithpenaltybythelinearfiniteelementapproximation.Itisprovedthattheconvergencerateofthealgorithmisboundedawayfrom1independentlyofthemeshsize.Forconvenience,weonlydiscussJacobirelaxationassmoothingoperatorindetail.