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Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation
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November 15, 2010
Abstract
Edge-oriented stabilization methods in the framework of discontinuous Galerkin approaches have been recently proposed by Brenner [Korn's inequalities for piecewise H1 vector fields, University of South Carolina, 2002] and particularly by Hansbo and Larson [A simple nonconforming bilinear element for the elasticity problem, CIMNE, 2001] for nonconforming finite element discretizations to satisfy a discrete Korn's inequality. We develop and analyse corresponding multigrid components in combination with local Pressure-Schur-Complement methods and give numerical examples for incompressible newtonian and non-newtonian fluids.
Received: 2002-04-30
Revised: 2002-08-01
Published Online: 2010-11-15
Published in Print: 2002-September
© VSP 2002
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- Overlapping Schwarz methods in H(curl) on polyhedral domains
- Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation
Articles in the same Issue
- Elastoviscoplastic Finite Element analysis in 100 lines of Matlab
- Numerical approximation of the spectra of non-compact operators arising in buckling problems
- Overlapping Schwarz methods in H(curl) on polyhedral domains
- Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation
