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MOC
2011
13 years 16 days ago
An optimal adaptive mixed finite element method
Abstract. Various applications in uid dynamics and computational continuum mechanics motivate the development of reliable and ecient adaptive algorithms for mixed nite element m...
Carsten Carstensen, Hella Rabus
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 5 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...
MOC
2000
109views more  MOC 2000»
13 years 5 months ago
A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...
M. Farhloul, S. Nicaise, L. Paquet
SMA
2010
ACM
206views Solid Modeling» more  SMA 2010»
13 years 3 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
SIAMNUM
2010
137views more  SIAMNUM 2010»
13 years 10 days ago
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
In this paper we develop an a posteriori error analysis of a new conforming mixed finite element method for the coupling of fluid flow with porous media flow. The flows are govern...
Ivo Babuska, Gabriel N. Gatica