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.