The Optimal Point of the Gradient of Finite Element Solution

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Huang Xiao-fan. The Optimal Point of the Gradient of Finite Element Solution[J]. Applied Mathematics and Mechanics, 1986, 7(8): 729-738.

Citation:

Huang Xiao-fan. The Optimal Point of the Gradient of Finite Element Solution[J]. Applied Mathematics and Mechanics, 1986, 7(8): 729-738.

Citation:

Huang Xiao-fan. The Optimal Point of the Gradient of Finite Element Solution[J]. Applied Mathematics and Mechanics, 1986, 7(8): 729-738.

Abstract

We consider the first boundary value problem of the second order elliptic equation and serendipity rectangular elements. Papers [2,3,9] proved that the gradients of finite element solution possess superconvergence at Gaussianpoint. In this paper, we extend the results in papers [2,3,9] in the sense that the coefficients of the elliptic equations are discontinuous on a curve S which lies in the bounded domain Ω.

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