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 - <p style="text-align: justify;">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.</p>