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

Jianwei Zhou, Danping Yang & Yujie Liu

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

Published online: 2018-05

Export citation
  • 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.

  • AMS Subject Headings

65N30, 65M15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-9-272, author = {Jianwei and Zhou and and 19508 and and Jianwei Zhou and Danping and Yang and and 19509 and and Danping Yang and Yujie and Liu and and 19510 and and Yujie Liu}, 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 AU - Zhou , Jianwei AU - Yang , Danping AU - Liu , Yujie 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
Copy to clipboard
The citation has been copied to your clipboard