A robust finite element method for Darcy-Stokes flow

• Main Authors: Mardal, Kent Andre, Tai, Xue Cheng, Winther, Ragnar
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2009
• Subjects: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
• Online Access: https://hdl.handle.net/10356/90843; http://hdl.handle.net/10220/4594; http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ISI_WOS_XML&id=doi:&genre=&isbn=&issn=0036-1429&date=2002&volume=40&issue=5&spage=1605&epage=1631&aulast=Mardal&aufirst=%20KA&auinit=KA&title=SIAM%20JOURNAL%20ON%20NUMERICAL%20ANALYSIS&atitle=A%20robust%20finite%20element%20method%20for%20Darcy%2DStokes%20flow
• Institution: Nanyang Technological University

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 pert...