Volume 4, Issue 2
Some Weighted Averaging Methods for Gradient Recovery

Yunqing Huang ,  Kai Jiang and Nianyu Yi

10.4208/aamm.10-m1188

Adv. Appl. Math. Mech., 4 (2012), pp. 131-155.

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  • Abstract

We propose some new weighted averaging methods for gradient recovery, and present analytical and numerical investigation on the performance of these weighted averaging methods. It is shown analytically that the harmonic averaging yields a superconvergent gradient for any mesh in one-dimension and the rectangular mesh in two-dimension. Numerical results indicate that these new weighted averaging methods are better recovered gradient approaches than the simple averaging and geometry averaging methods under triangular mesh.

  • History

Published online: 2012-04

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