TY - JOUR
T1 - A Posteriori Error Estimate for Stabilized Finite Element Methods for the Stokes Equations
AU - J. Wang, Y. Wang & X. Ye
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 1
EP - 16
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/607.html
KW - A posteriori error estimate, finite element methods, CFD, adaptive grid refinement.
AB - <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>