@Article{IJNAM-9-1,
author = {J. Wang, Y. Wang and X. Ye},
title = {A Posteriori Error Estimate for Stabilized Finite Element Methods for the Stokes Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {1},
pages = {1--16},
abstract = {<p style="text-align: justify;">Computation with adaptive grid refinement has proved to be a
useful and efficient tool in scientific computing over the last several decades.
The key behind this technique is the design of a good a posterior error estimator
that provides a guidance on how and where grids should be refined. In
this paper, the authors propose and analyze a posteriori error estimator for a
stabilized finite element method in computational fluid dynamics. The main
contributions of the paper are: (1) an efficient a posteriori error estimator is
designed and analyzed for a general stabilized finite element method, (2) a rigorous
mathematical analysis is established for a theoretical justification of its
efficiency and generality to other applications, and (3) some computational results
with a comparison with other methods are presented for a computational
justification of the proposed a posteriori error estimator.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/607.html}
}