In this article we aim at proposing a general mathematical formulation for charge conserving finite element Maxwell solvers coupled with particle schemes. In particular, we identify the finite element continuity equations that must be satisfied by the discrete current sources for several classes of time domain Vlasov-Maxwell simulations to preserve the Gauss law at each time step, and propose a generic algorithm for computing such consistent sources. Since our results cover a wide range of schemes (namely curl-conforming finite element methods of arbitrary degree, general meshes in 2 or 3 dimensions, several classes of time discretization schemes, particles with arbitrary shape factors and piecewise polynomial trajectories of arbitrary degr...
In this paper the basic concept of the numerical treatment of charged particles in electrical device...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...
This version is a complete rewriting of the first version submitted in 2008.In this article we aim a...
This article is the second of a series where we develop and analyze structure-preserving finite elem...
This article is the first of a series where we develop and analyze finite element space discretizati...
We present a charge-conserving electromagnetic particle-in-cell (EM-PIC) algorithm on unstructured g...
In this article we study a charge-conserving finite-element particle scheme for the Maxwel...
In this article we study a charge-conserving finite-element particle scheme for the Maxwel...
This thesis deals with the study of a numerical method to simulate a plasma. We consider a set of pa...
In this article, we describe a novel implementation of finite-size (super) particles described by po...
Abstract. In this article we propose a unified analysis for conforming and non-conforming finite ele...
International audienceIn this article we introduce numerical schemes for the Vlasov-Maxwell equation...
International audienceIn this article we propose a unified analysis for conforming andnon-conforming...
In this paper a new mixed finite element method for device modelling is presented. This discretisati...
In this paper the basic concept of the numerical treatment of charged particles in electrical device...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...
This version is a complete rewriting of the first version submitted in 2008.In this article we aim a...
This article is the second of a series where we develop and analyze structure-preserving finite elem...
This article is the first of a series where we develop and analyze finite element space discretizati...
We present a charge-conserving electromagnetic particle-in-cell (EM-PIC) algorithm on unstructured g...
In this article we study a charge-conserving finite-element particle scheme for the Maxwel...
In this article we study a charge-conserving finite-element particle scheme for the Maxwel...
This thesis deals with the study of a numerical method to simulate a plasma. We consider a set of pa...
In this article, we describe a novel implementation of finite-size (super) particles described by po...
Abstract. In this article we propose a unified analysis for conforming and non-conforming finite ele...
International audienceIn this article we introduce numerical schemes for the Vlasov-Maxwell equation...
International audienceIn this article we propose a unified analysis for conforming andnon-conforming...
In this paper a new mixed finite element method for device modelling is presented. This discretisati...
In this paper the basic concept of the numerical treatment of charged particles in electrical device...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...
We consider the numerical discretization of the time-domain Maxwell’s equations with an energy-conse...