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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...
SIAMNUM
2010
149views more  SIAMNUM 2010»
12 years 11 months ago
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations
In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for...
Zhiqiang Cai, Chunbo Wang, Shun Zhang
NHM
2010
141views more  NHM 2010»
12 years 11 months ago
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods
We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed...
Jérôme Droniou
MOC
2011
12 years 12 months ago
Convergence of a mixed method for a semi-stationary compressible Stokes system
We propose and analyze a finite element method for a semi– stationary Stokes system modeling compressible fluid flow subject to a Navier– slip boundary condition. The veloci...
Kenneth H. Karlsen, Trygve K. Karper
SIAMNUM
2010
137views more  SIAMNUM 2010»
12 years 11 months 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