Abstract

In this article, for an elliptic equation with varying coefficients, we first derive an interpolation fundamental estimate for the mathcal{P}_{2}(x,y)otimes mathcal{P}_{2}(z) pentahedral finite element over uniform partitions of the domain. Then combined with the estimate for the W^{2,1}-seminorm of the discrete Green function, superconvergence of the function value between the finite element approximation and the corresponding interpolant to the true solution is given.

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