COMBINED FINITE ELEMENT AND PSEUDOSPECTRAL METHOD FOR THE THREE-DIMENSIONAL NAVIER-sTOKES EQUATIONS
Citation：
Ma Heping（马和平）.COMBINED FINITE ELEMENT AND PSEUDOSPECTRAL METHOD FOR THE THREE-DIMENSIONAL NAVIER-sTOKES EQUATIONS[J].Chinese Annals of Mathematics B,1992,13(3):350~367
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Authors：
Ma Heping（马和平）;
Abstract：
This paper analyzes a combined method with artificial compression for solving the three-dimensional evolutionary Navier-Stokes equations with periodic and no-slip boundary condition.A Fourier pseudospectral method with a control operator is used in the periodic direction and a standard finite element method in the two others.The generalized stability of the scheme and optimal rate of convergence of the velocity in L^2-norm are proved on the assumption that the BB condition of the finite element approximation for the two -dimensional Stokes equations is satisfied.
