Advection-diffusion-reaction problems are receiving much attention lately. Among finite elements, multiscale/adjoint/unusual stabilized methods are one of the most popular techniques to stabilize problems with strong convection or reaction. However, some local instabilities have been detected depending on the position and nature of the boundary layers. Therefore, several augmented formulations are explored in order to remove the above local instabilities. The approaches include combined stabilized methods and higher order multiscale methods
A stabilized finite element method (FEM) for the multidimensional steady state advection-diffusion-a...
Many engineering and scientific applications require a detailed analysis of strongly coupled continu...
International audienceWe are interested in advection-diffusion problems with high Peclet number when...
A stabilized finite element method for solving systems of convection-diffusion-reaction equations is...
The advection-diffusion equation is notoriously difficult to solve for higher Peclet number when usi...
Still computational methods for the advection-diffusion-reaction transport equa- tion are a challen...
In this paper we present stabilized finite element formulations to solve the scalar convection-diffu...
Abstract. In general, the solution of the diffusion-convection problem possesses boundary layers. Th...
Abstract. We give a brief overview of stabilized finite element methods and illus-trate the developm...
In this paper we revisit the definition of the stabilization parameter in the finite element approxi...
We present three new stabilized finite element (FE) based Petrov–Galerkin methods for the convection...
a b s t r a c t In this paper we develop two discontinuous Galerkin formulations within the framewor...
Nonlinear reaction-convection-diffusion equations are encountered in modeling of a variety of natura...
Recent advances in turbulence modeling brought more and more sophisticated turbulence closures (e.g....
Advection-dominated problems, which arise in many engineering situations, often require a fast and r...
A stabilized finite element method (FEM) for the multidimensional steady state advection-diffusion-a...
Many engineering and scientific applications require a detailed analysis of strongly coupled continu...
International audienceWe are interested in advection-diffusion problems with high Peclet number when...
A stabilized finite element method for solving systems of convection-diffusion-reaction equations is...
The advection-diffusion equation is notoriously difficult to solve for higher Peclet number when usi...
Still computational methods for the advection-diffusion-reaction transport equa- tion are a challen...
In this paper we present stabilized finite element formulations to solve the scalar convection-diffu...
Abstract. In general, the solution of the diffusion-convection problem possesses boundary layers. Th...
Abstract. We give a brief overview of stabilized finite element methods and illus-trate the developm...
In this paper we revisit the definition of the stabilization parameter in the finite element approxi...
We present three new stabilized finite element (FE) based Petrov–Galerkin methods for the convection...
a b s t r a c t In this paper we develop two discontinuous Galerkin formulations within the framewor...
Nonlinear reaction-convection-diffusion equations are encountered in modeling of a variety of natura...
Recent advances in turbulence modeling brought more and more sophisticated turbulence closures (e.g....
Advection-dominated problems, which arise in many engineering situations, often require a fast and r...
A stabilized finite element method (FEM) for the multidimensional steady state advection-diffusion-a...
Many engineering and scientific applications require a detailed analysis of strongly coupled continu...
International audienceWe are interested in advection-diffusion problems with high Peclet number when...