@Article{IJNAM-10-466, author = {}, title = {Hierarchical a Posteriori Residual Based Error Estimators for Bilinear Finite Elements}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {2}, pages = {466--480}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/578.html} }