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» Dual Formulations of Mixed Finite Element Methods
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MOC
2002
151views more  MOC 2002»
14 years 9 months ago
Mixed finite element methods for unilateral problems: convergence analysis and numerical studies
In this paper, we propose and study different mixed variational methods in order to approximate with finite elements the unilateral problems arising in contact mechanics. The discr...
Patrice Coorevits, Patrick Hild, Khalid Lhalouani,...
SIAMSC
2008
230views more  SIAMSC 2008»
14 years 9 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...
SIAMNUM
2011
117views more  SIAMNUM 2011»
14 years 4 months ago
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
Weifeng Qiu, Leszek F. Demkowicz
MOC
2002
93views more  MOC 2002»
14 years 9 months ago
Conjugate gradient method for dual-dual mixed formulations
We deal with the iterative solution of linear systems arising from so-called dual-dual mixed finite element formulations. The linear systems are of a two-fold saddle point structur...
Gabriel N. Gatica, Norbert Heuer
MOC
2010
14 years 4 months ago
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data
We study H(div) preconditioning for the saddle-point systems that arise in a stochastic Galerkin mixed formulation of the steady-state diffusion problem with random data. The key i...
Howard C. Elman, Darran G. Furnival, Catherine E. ...