TY - JOUR
T1 - Least-Squares Mixed Finite Element Method for Saddle-Point Problem
AU - Wang , Lie-Heng
AU - Duan , Huo-Yuan
JO - Journal of Computational Mathematics
VL - 4
SP - 353
EP - 364
PY - 2000
DA - 2000/08
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9048.html
KW - least-squares method, mixed finite element approximation, saddle-point problem.
AB - <p style="text-align: justify;">In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived.</p>