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OALib Journal期刊
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THE POSTPROCESSING FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS
非线性Sobolev方程Galerkin解法的后处理与超收敛

Keywords: Nonlinear Sobolev equation,Galerkin method,postprocessing,superconvergence
非线性Sobolev方程
,Galerkin解法,后处理,超收敛

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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.

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