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Some Weighted Averaging Methods for Gradient Recovery

Some Weighted Averaging Methods for Gradient Recovery
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Year:    2012

Author:    Yunqing Huang, Kai Jiang, Nianyu Yi

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 131–155

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m1188

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 131–155

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Finite element method weighted averaging gradient recovery.

Author Details

Yunqing Huang

Kai Jiang

Nianyu Yi

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