An L2‐stable approximation of the Navier–Stokes convection operator for low‐order non‐conforming finite elements

G Ansanay‐Alex, F Babik, JC Latché… - International Journal for …, 2011 - Wiley Online Library
We develop in this paper a discretization for the convection term in variable density
unstationary Navier–Stokes equations, which applies to low‐order non‐conforming finite …

[HTML][HTML] A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion …

N Yan, Z Zhou - Journal of Computational and Applied Mathematics, 2009 - Elsevier
In this paper, we study an edge-stabilization Galerkin approximation scheme for the
constrained optimal-control problem governed by convection-dominated diffusion equation …

[PDF][PDF] Finite element simulation of nonlinear fluids with application to granular material and powder

A Ouazzi - 2006 - researchgate.net
This thesis is concerned with new numerical and algorithmic tools for flows with pressure
and shear dependent viscosity together with the necessary background of the generalized …

Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipation

E Burman - Computer methods in applied mechanics and …, 2007 - Elsevier
In this paper, we apply the interior penalty method analyzed in Burman and Fernàndez [E.
Burman, M. Fernàndez, Continuous interior penalty finite element method for the time …

A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection–diffusion equations

L El Alaoui, A Ern, E Burman - IMA journal of numerical analysis, 2007 - academic.oup.com
We analyse a non-conforming finite-element method to approximate advection–diffusion–
reaction equations. The method is stabilized by penalizing the jumps of the solution and …

Efficient solution techniques for implicit finite element schemes with flux limiters

M Möller - International Journal for Numerical Methods in …, 2007 - Wiley Online Library
The algebraic flux correction (AFC) paradigm is equipped with efficient solution strategies for
implicit time‐stepping schemes. It is shown that Newton‐like techniques can be applied to …

Un schéma éléments finis non-conformes/volumes finis pour l'approximation en maillages non-structurés des écoulements à faible nombre de Mach

G Ansanay-Alex - 2009 - theses.hal.science
Nous développons dans cette thèse un schéma numérique pour la résolution sur des
maillages non-structurés d'un système d'équations couplant les équations de Navier-Stokes …

A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

N Yan, Z Zhou - Frontiers of Mathematics in China, 2008 - Springer
In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method
for the constrained optimal control problem governed by convection-dominated diffusion …

[PDF][PDF] An L2-stable approximation of the Navier–Stokes convection operator for low-order non-conforming finite elements

G Ansanay-Alex, F Babik, JC Latché, D Vola - Int. J. Numer. Fluids, 2000 - Citeseer
We develop in this paper a discretization for the convection term in variable density
unstationary Navier-Stokes equations, which applies to low-order non-conforming finite …

A non-conformal finite element/finite volume scheme for the non-structured grid-based approximation of low Mach number flows

G Ansanay-Alex - 2009 - inis.iaea.org
We address in this paper the numerical solution of the variable density unstationary Navier-
Stokes equations:∂ t̺+∇· ̺u= 0(2.1 a)∂ t (̺u)+∇·(̺u⊗ u)−∇· τ+ Vp= f(2.1 b) where∂ t …