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计算数学 1992
EXTRACTION OF HIGHER DERIVATIVES IN FEM FOR POISSON EQUATION AND THE PLANE ELASTICITY PROBLEM
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Abstract:
This paper gives extraction formulae for higher derivatives of solutions of thePoisson equation and the plane elasticity problem. With these formulae the approxi-mation of higher derivatives of solution obtained from the finite element solutionhas the same order of accuracy as for the approximate solution itself. These resultscan be used in a-posteriori error estimates and the adaptive finite element methods.