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.

The Optimal Point of the Gradient of Finite Element Solution

  • Received Date: 1984-12-25
  • Publish Date: 1986-08-15
  • 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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