Volume 9, Issue 2
A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square

Adv. Appl. Math. Mech., 9 (2017), pp. 272-281.

Published online: 2018-05

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• 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.

• Keywords

$a$-$posteriori$ error indicator, Legendre polynomial, $p$-version finite element method.

65N30, 65M15

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@Article{AAMM-9-272, author = {}, title = {A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m68}, url = {http://global-sci.org/intro/article_detail/aamm/12148.html} }
TY - JOUR T1 - A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 272 EP - 281 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2013.m68 UR - https://global-sci.org/intro/article_detail/aamm/12148.html KW - $a$-$posteriori$ error indicator, Legendre polynomial, $p$-version finite element method. AB -

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.

Jianwei Zhou, Danping Yang & Yujie Liu. (2020). A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square. Advances in Applied Mathematics and Mechanics. 9 (2). 272-281. doi:10.4208/aamm.2013.m68
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