@Article{IJNAM-10-3,
author = {},
title = {Unified a Posteriori Error Estimator for Finite Element Methods for the Stokes Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {3},
pages = {551--570},
abstract = {<p style="text-align: justify;">This paper is concerned with residual type a posteriori error estimators for finite
element methods for the Stokes equations. In particular, the authors established a unified approach for deriving and analyzing a posteriori error estimators for velocity-pressure based finite
element formulations for the Stokes equations. A general a posteriori error estimator was presented with a unified mathematical analysis for the general finite element formulation that covers
conforming, non-conforming, and discontinuous Galerkin methods as examples. The key behind
the mathematical analysis is the use of a lifting operator from discontinuous finite element spaces
to continuous ones for which all the terms involving jumps at interior edges disappear.</p>},
issn = {2617-8710},
doi = {https://doi.org/2013-IJNAM-582},
url = {https://global-sci.com/article/83414/unified-a-posteriori-error-estimator-for-finite-element-methods-for-the-stokes-equations}
}