简介:Inthispaper,weconsiderlowerorderrectangularfiniteelementmethodsforthesin-gularlyperturbedStokesproblem.ThemodelproblemreducestoalinearStokesproblemwhentheperturbationparameterislargeanddegeneratestoamixedformulationofPois-son'sequationastheperturbationparametertendstozero.Weproposetwo2Dandtwo3Dnonconformingrectangularfiniteelements,andderiverobustdiscretizationerrorestimates.Numericalexperimentsarecarriedouttoverifythetheoreticalresults.