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On a two‐level finite element method for the incompressible Navier–Stokes equations
Author(s) -
Franca L. P.,
Nesliturk A.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.220
Subject(s) - finite element method , mathematics , piecewise , galerkin method , navier–stokes equations , bubble , mixed finite element method , mathematical analysis , pressure correction method , extended finite element method , compressibility , discontinuous galerkin method , physics , mechanics , thermodynamics
We consider the Galerkin finite element method for the incompressible Navier–Stokes equations in two dimensions, where the finite‐dimensional space(s) employed consist of piecewise polynomials enriched with residual‐free bubble functions. To find the bubble part of the solution, a two‐level finite element method (TLFEM) is described and its application to the Navier–Stokes equation is displayed. Numerical solutions employing the TLFEM are presented for three benchmark problems. We compare the numerical solutions using the TLFEM with the numerical solutions using a stabilized method. Copyright © 2001 John Wiley & Sons, Ltd.