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JSCIC
2010
97views more  JSCIC 2010»
12 years 11 months ago
Finite Element Characteristic Methods Requiring no Quadrature
The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals ar...
Olivier Pironneau
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 4 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
SIAMSC
2008
146views more  SIAMSC 2008»
13 years 4 months ago
A Continuous Interior Penalty Method for Viscoelastic Flows
In this paper we consider a finite element discretization of the Oldroyd-B model of viscoelastic flows. The method uses standard continuous polynomial finite element spaces for vel...
Andrea Bonito, Erik Burman
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 4 months ago
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
SMA
2010
ACM
206views Solid Modeling» more  SMA 2010»
13 years 2 months ago
A generalization for stable mixed finite elements
Mixed finite element methods solve a PDE involving two or more variables. In typical problems from electromagnetics and electrodiffusion, the degrees of freedom associated to the ...
Andrew Gillette, Chandrajit L. Bajaj