Add to ORKGWe introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. We show optimal error estimates in the case of smooth compactly supported initial data. We propose a scheme that preserves the total energy of the system
In this paper we consider Runge-Kutta discontinuous Galerkin (RKDG) schemes for Vlasov-Poisson syste...
International audienceWe study a class of spatial discretizations for the Vlasov-Poisson system writ...
We prove the convergence of discontinuous Galerkin approximations for the Vlasov-Poisson system writ...
We construct a new family of semi-discrete numerical schemes for the approximation of the one-dimens...
We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Po...
none3si...noneB. Ayuso de Dios;J. A. Carrillo;C. ShuB. Ayuso de Dios;J. A. Carrillo;C. Sh
We present a discontinuous Galerkin scheme for the numerical approximation of the one-dime...
We construct and analyze a numerical scheme for the two-dimensional Vlasov-Poisson system based on a...
We present a computational study for a family of discontinuous Galerkin methods for the one dimensio...
A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing ...
Abstract. We present a computational study for a family of discontinuous Galerkin meth-ods for the o...
We propose a class of conservative discontinuous Galerkin methods for the Vlasov-Poisson system writ...
We develop adaptive numerical schemes for the Vlasov equation by combining discontinuous Galerkin di...
We construct a numerical scheme for the multi-dimensional Vlasov-Poisson-Fokker-Planck system based ...
Abstract. We propose a new, energy conserving, spectral element, discontinuous Galerkin method for t...
In this paper we consider Runge-Kutta discontinuous Galerkin (RKDG) schemes for Vlasov-Poisson syste...
International audienceWe study a class of spatial discretizations for the Vlasov-Poisson system writ...
We prove the convergence of discontinuous Galerkin approximations for the Vlasov-Poisson system writ...
We construct a new family of semi-discrete numerical schemes for the approximation of the one-dimens...
We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Po...
none3si...noneB. Ayuso de Dios;J. A. Carrillo;C. ShuB. Ayuso de Dios;J. A. Carrillo;C. Sh
We present a discontinuous Galerkin scheme for the numerical approximation of the one-dime...
We construct and analyze a numerical scheme for the two-dimensional Vlasov-Poisson system based on a...
We present a computational study for a family of discontinuous Galerkin methods for the one dimensio...
A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing ...
Abstract. We present a computational study for a family of discontinuous Galerkin meth-ods for the o...
We propose a class of conservative discontinuous Galerkin methods for the Vlasov-Poisson system writ...
We develop adaptive numerical schemes for the Vlasov equation by combining discontinuous Galerkin di...
We construct a numerical scheme for the multi-dimensional Vlasov-Poisson-Fokker-Planck system based ...
Abstract. We propose a new, energy conserving, spectral element, discontinuous Galerkin method for t...
In this paper we consider Runge-Kutta discontinuous Galerkin (RKDG) schemes for Vlasov-Poisson syste...
International audienceWe study a class of spatial discretizations for the Vlasov-Poisson system writ...
We prove the convergence of discontinuous Galerkin approximations for the Vlasov-Poisson system writ...