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Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem
Author(s) -
Burman Erik,
Hansbo Peter
Publication year - 2005
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20076
Subject(s) - stokes problem , mathematics , limit (mathematics) , darcy's law , convergence (economics) , discontinuous galerkin method , partial differential equation , finite element method , partial derivative , viscosity , mathematical analysis , element (criminal law) , stokes flow , galerkin method , porous medium , flow (mathematics) , geometry , porosity , physics , thermodynamics , geotechnical engineering , political science , law , economics , economic growth , engineering
We stabilize the nonconforming Crouzeix‐Raviart element for the Darcy‐Stokes problem with terms motivated by a discontinuous Galerkin approach. Convergence of the method is shown, also in the limit of vanishing viscosity. Finally, some numerical examples verifying the theoretical predictions are presented. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 21, 2005.