Add to ORKGWe consider the discontinuous Galerkin (DG) finite element discretization of first order systems of conservation laws derivable as moments of the kinetic Boltzmann equation. This includes well known conservation law systems such as the Euler For the class of first order nonlinear conservation laws equipped with an entropy extension, an energy analysis of the DG method for the Cauchy initial value problem is developed. Using this DG energy analysis, several new variants of existing numerical flux functions are derived and shown to be energy stable
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
International audienceWe study here a model of conservative nonlinear conservation law with a flux f...
This paper presents a numerical approximation technique for the Boltzmann equation based on a moment...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
This paper presents a numerical analysis for the time-implicit numerical approximation of the Boltzm...
In this work we propose numerical approximations of the Boltzmann equation that are consistent with ...
AbstractIn this paper, we give a simple introduction to the devising of discontinuous Galerkin (DG) ...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
International audienceAbstract We present an entropy stable Discontinuous Galerkin (DG) finite eleme...
In this paper, we present two new methods for solving systems of hyperbolic conservation laws with c...
This work applies the moment method onto a generic form of kinetic equations to simplify kinetic mod...
Abstract: A new variational entropic regularization principle is formulated for a disconti...
For the general class of residual distribution (RD) schemes, including many finite element (such as ...
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Eule...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
International audienceWe study here a model of conservative nonlinear conservation law with a flux f...
This paper presents a numerical approximation technique for the Boltzmann equation based on a moment...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
This paper presents a numerical analysis for the time-implicit numerical approximation of the Boltzm...
In this work we propose numerical approximations of the Boltzmann equation that are consistent with ...
AbstractIn this paper, we give a simple introduction to the devising of discontinuous Galerkin (DG) ...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
International audienceAbstract We present an entropy stable Discontinuous Galerkin (DG) finite eleme...
In this paper, we present two new methods for solving systems of hyperbolic conservation laws with c...
This work applies the moment method onto a generic form of kinetic equations to simplify kinetic mod...
Abstract: A new variational entropic regularization principle is formulated for a disconti...
For the general class of residual distribution (RD) schemes, including many finite element (such as ...
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Eule...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
International audienceWe study here a model of conservative nonlinear conservation law with a flux f...