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计算数学  1992 

EXTRACTION OF HIGHER DERIVATIVES IN FEM FOR POISSON EQUATION AND THE PLANE ELASTICITY PROBLEM
泊松方程及平面弹性问题有限元方法中求高阶导数的提取法

Keywords: 有限元法,高阶导数,提取法

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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.

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