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THE EFFECT OF NUMERICAL INTEGRATION IN FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS

THE EFFECT OF NUMERICAL INTEGRATION IN FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS
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摘要 We study the effect of mumerical integration in Finite Element Methods for nonlinear sobolev equations and give some sufficient conditions on the quadrature scheme to ensure that the or- der of convergence is unaltered in the presence of mumerical integration.Optimal L2and H1 esti- mates for the error and its time derivative are established. We study the effect of mumerical integration in Finite Element Methods for nonlinear sobolev equations and give some sufficient conditions on the quadrature scheme to ensure that the or- der of convergence is unaltered in the presence of mumerical integration.Optimal L2and H1 esti- mates for the error and its time derivative are established.
关键词 FINITE element QUADRATURE schemne ELLIPTIC PROJECTION error estimates. finite element,quadrature schemne,elliptic projection,error estimates.
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