TY - JOUR
T1 - Hierarchical a Posteriori Residual Based Error Estimators for Bilinear Finite Elements
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 466
EP - 480
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/578.html
KW - error estimates, adaptivity, finite elements.
AB - <p style="text-align: justify;">We present techniques of a posteriori error estimation for $Q_1$ finite element discretizations
based on residual evaluations with respect to test functions of higher-order. This technique is
designed for quadrilateral (or hexahedral) triangulations and gives local error indicators in terms
of nodal contributions. We show reliability and efficiency of the estimator. Moreover, we present
a simplification which is attractive from computational point of view as well.</p>