TY - JOUR
T1 - Local Projection Finite Element Stabilization for Darcy Flow
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 656
EP - 666
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/744.html
KW - Stabilized finite elements, Darcy equations, convergence, error estimates.
AB - <p style="text-align: justify;">Local projection based stabilized finite element methods for the
solution of Darcy flow offer several advantages as compared to mixed Galerkin
methods. In particular, the avoidance of stability conditions between finite
element spaces, the efficiency in solving the reduced linear algebraic system,
and the convenience of using equal order continuous approximations for all
variables. In this paper we analyze the pressure gradient method for Darcy
flow and investigate its stability and convergence properties.</p>