Year: 2017
Author: Jianwei Zhou, Danping Yang, Yujie Liu
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 272–281
Abstract
In this work, the $a$-$posteriori$ error indicator with an explicit formula for $p$-version finite element methods in square is investigated, and its reliable and efficient properties are deduced. Especially, this $a$-$posteriori$ error indicator is determined by the right hand item of the model. We reformulate this $a$-$posteriori$ error indicator with finite coefficients, which can be easily calculated during applications.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m68
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 272–281
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: $a$-$posteriori$ error indicator Legendre polynomial $p$-version finite element method.
Author Details
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Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem
Lin, Xiuxiu
Chen, Yanping
Huang, Yunqing
Journal of Nonlinear Science, Vol. 34 (2024), Iss. 1
https://doi.org/10.1007/s00332-023-09991-1 [Citations: 0]