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
International audienceThe Trefftz discontinuous Galerkin (TDG) method provides natural well-balanced...
This thesis presents the mathematical derivation and implementation of, and improvements to, the di...
AbstractWe develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-de...
In the following work we develop a novel numerical method, which is used to approximate time-depende...
International audienceMethods based on Discontinuous Finite Element approximation (DG FEM) are basic...
International audienceThe simulation of time-harmonic electromagnetic waves requires a matrix invers...
This work is concerned with the development of a flexible and efficient arbitrary high-order Discont...
International audienceIn this work, we investigate the application of polynomial integrators in a hi...
A space-time Trefftz discontinuous Galerkin method for the Schr\"odinger equation with piecewise-con...
National audienceHybridized discontinuous Galerkin methods preserve the advantages of classical disc...
In this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique dev...
International audienceA general symmetric Trefftz Discontinuous Galerkin method is builtfor solving ...
International audienceThis paper reviews the main features of a high-order non-dissipative discontin...
Dans cette thèse, nous étudions et développons différentes familles de schémas d’intégration en temp...
Die unstetige Galerkinmethode (UGM) wird auf die rotationssymmetrischen und Kerr- Maxwell-Gleichunge...
International audienceThe Trefftz discontinuous Galerkin (TDG) method provides natural well-balanced...
This thesis presents the mathematical derivation and implementation of, and improvements to, the di...
AbstractWe develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-de...
In the following work we develop a novel numerical method, which is used to approximate time-depende...
International audienceMethods based on Discontinuous Finite Element approximation (DG FEM) are basic...
International audienceThe simulation of time-harmonic electromagnetic waves requires a matrix invers...
This work is concerned with the development of a flexible and efficient arbitrary high-order Discont...
International audienceIn this work, we investigate the application of polynomial integrators in a hi...
A space-time Trefftz discontinuous Galerkin method for the Schr\"odinger equation with piecewise-con...
National audienceHybridized discontinuous Galerkin methods preserve the advantages of classical disc...
In this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique dev...
International audienceA general symmetric Trefftz Discontinuous Galerkin method is builtfor solving ...
International audienceThis paper reviews the main features of a high-order non-dissipative discontin...
Dans cette thèse, nous étudions et développons différentes familles de schémas d’intégration en temp...
Die unstetige Galerkinmethode (UGM) wird auf die rotationssymmetrischen und Kerr- Maxwell-Gleichunge...
International audienceThe Trefftz discontinuous Galerkin (TDG) method provides natural well-balanced...
This thesis presents the mathematical derivation and implementation of, and improvements to, the di...
AbstractWe develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-de...