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

Yunqing Huang, Kai Jiang & Nianyu Yi

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

Published online: 2012-04

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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.

  • Keywords

Finite element method weighted averaging gradient recovery

  • AMS Subject Headings

65N12 65N15 65N30 65D10 74S05 41A10 41A25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-4-131, author = {Yunqing Huang, Kai Jiang and Nianyu Yi}, title = {Some Weighted Averaging Methods for Gradient Recovery}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1188}, url = {http://global-sci.org/intro/article_detail/aamm/111.html} }
TY - JOUR T1 - Some Weighted Averaging Methods for Gradient Recovery AU - Yunqing Huang, Kai Jiang & Nianyu Yi JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 131 EP - 155 PY - 2012 DA - 2012/04 SN - 4 DO - http://dor.org/10.4208/aamm.10-m1188 UR - https://global-sci.org/intro/aamm/111.html KW - Finite element method KW - weighted averaging KW - gradient recovery AB -

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.

Yunqing Huang, Kai Jiang & Nianyu Yi. (1970). Some Weighted Averaging Methods for Gradient Recovery. Advances in Applied Mathematics and Mechanics. 4 (2). 131-155. doi:10.4208/aamm.10-m1188
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