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A stabilized finite element method based on two local Gauss integrations for a coupled Stokes–Darcy problem.
- Source :
-
Journal of Computational & Applied Mathematics . Jan2016, Vol. 292, p92-104. 13p. - Publication Year :
- 2016
-
Abstract
- In this paper, a stabilized mixed finite element method for a coupled steady Stokes–Darcy problem is proposed and investigated. This method is based on two local Gauss integrals for the Stokes equations. Its originality is to use a difference between a consistent mass matrix and an under-integrated mass matrix for the pressure variable of the coupled Stokes–Darcy problem by using the lowest equal-order finite element triples. This new method has several attractive computational features: parameter free, flexible, and altering the difficulties inherited in the original equations. Stability and error estimates of optimal order are obtained by using the lowest equal-order finite element triples ( P 1 − P 1 − P 1 ) and ( Q 1 − Q 1 − Q 1 ) for approximations of the velocity, pressure, and hydraulic head. Finally, a series of numerical experiments are given to show that this method has good stability and accuracy for the coupled problem with the Beavers–Joseph–Saffman–Jones and Beavers–Joseph interface conditions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 292
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 109239768
- Full Text :
- https://doi.org/10.1016/j.cam.2015.06.014