TY - JOUR
T1 - A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations
AU - He , Yinnian
AU - Xie , Cong
AU - Zheng , Haibiao
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 798
EP - 809
PY - 2010
DA - 2010/02
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0995
UR - https://global-sci.org/intro/article_detail/aamm/8361.html
KW - 
AB - <p style="text-align: justify;">This paper is concerned with a stabilized approach to low-order
mixed finite element methods for the Stokes equations. We will
provide a posteriori error analysis for the method. We present two a
posteriori error indicators which will be demonstrated to be
globally upper and locally lower bounds for the error of the finite
element discretization. Finally two numerical experiments will be
carried out to show the efficiency on constructing adaptive meshes.</p>