In the following work we develop a novel numerical method, which is used to approximate time-dependent Maxwell's equations. The method combines an already existing discontinuous Galerkin (DG) method with polynomial Trefftz functions. These polynomial Trefftz functions exactly solve Maxwell's equations in an element-wise fashion
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-const...
International audienceWe investigate the practical implementation of a high-order explicit time-step...
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solu...
In the following work we develop a novel numerical method, which is used to approximate time-depende...
International audienceThe simulation of time-harmonic electromagnetic waves requires a matrix invers...
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The m...
We present and analyse a space–time discontinuous Galerkin method for wave propagation problems. Th...
Abstract. In this paper, we extend to the time-harmonic Maxwell equations the p–version analysis tec...
AbstractThe discontinuous Galerkin method has proved to be an accurate and efficient way to numerica...
This thesis presents the mathematical derivation and implementation of, and improvements to, the di...
AbstractWe present numerical results concerning the solution of the time-harmonic Maxwell equations ...
International audienceThe Trefftz discontinuous Galerkin (TDG) method provides natural well-balanced...
Abstract. In this article we propose a unified analysis for conforming and non-conforming finite ele...
We present a comparative study of numerical algorithms to solve the time-dependent Maxwell equations...
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-const...
International audienceWe investigate the practical implementation of a high-order explicit time-step...
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solu...
In the following work we develop a novel numerical method, which is used to approximate time-depende...
International audienceThe simulation of time-harmonic electromagnetic waves requires a matrix invers...
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The m...
We present and analyse a space–time discontinuous Galerkin method for wave propagation problems. Th...
Abstract. In this paper, we extend to the time-harmonic Maxwell equations the p–version analysis tec...
AbstractThe discontinuous Galerkin method has proved to be an accurate and efficient way to numerica...
This thesis presents the mathematical derivation and implementation of, and improvements to, the di...
AbstractWe present numerical results concerning the solution of the time-harmonic Maxwell equations ...
International audienceThe Trefftz discontinuous Galerkin (TDG) method provides natural well-balanced...
Abstract. In this article we propose a unified analysis for conforming and non-conforming finite ele...
We present a comparative study of numerical algorithms to solve the time-dependent Maxwell equations...
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-const...
International audienceWe investigate the practical implementation of a high-order explicit time-step...
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solu...