A robust finite element method for Darcy-Stokes flow
Mardal, Kent Andre
Tai, Xue Cheng
Date of Issue2002
School of Physical and Mathematical Sciences
Finite element methods for a family of systems of singular perturbation problems of a saddle point structure are discussed. The system is approximately a linear Stokes problem when the perturbation parameter is large, while it degenerates to a mixed formulation of Poisson's equation as the perturbation parameter tends to zero. It is established, basically by numerical experiments, that most of the proposed finite element methods for Stokes problem or the mixed Poisson's system are not well behaved uniformly in the perturbation parameter. This is used as the motivation for introducing a new "robust" finite element which exhibits this property.
DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
SIAM Journal on Numerical Analysis.
SIAM Journal on Numerical Analysis @ copyright 2002 SIAM. The journal's website is located at http://portal.acm.org/citation.cfm?id=588593.