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系统科学与数学 1999
THE POSTPROCESSING FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS
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Abstract:
The postprocessing for Galerkin methods for nonlinear Sobolev equations is studied in this paper.lt is proved that the estimates error in H1-and L2- norms after postprocessing can be improved by one order for both discrete and semi-discrete schemes as well as continuous time scheme has been proved when the degree of the standard finite element space is no less than two.