We propose a Finite Volume Time-Domain scheme for the numerical treatment of Generalized Sheet Transition Conditions (GSTC) modeling metasurfaces in the one-dimensional case.
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March 1, 2018 (v1)ReportUploaded on: February 28, 2023
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January 2015 (v1)Report
The system of Maxwell equations describes the evolution of the interaction of an electromagnetic field with a propagation medium. The different properties of the medium, such as isotropy, homogeneity, linearity, among others, are introduced through {\it constitutive laws} linking fields and inductions. In the present study,...
Uploaded on: March 25, 2023 -
January 2010 (v1)Report
Ces dernières années, les méthodes Galerkin discontinues ont fait l'objet de plusieurs travaux visant à leur mise au point pour la résolution numérique des équations de Maxwell instationnaires. Dans la grande majorité de ces travaux, les composantes du champ électromagnétique sont approchées au sein de chaque élément du maillage par une...
Uploaded on: December 4, 2022 -
2009 (v1)Journal article
We are interested in the simulation of P-SV seismic wave propagation by a high-order Discontinuous Galerkin method based on centered fluxes at the interfaces combined with a leap-frog time-integration. This non-diffusive method, previously developed for the Maxwell equations, is particularly well adapted to complex topographies and fault...
Uploaded on: December 2, 2022 -
2009 (v1)Journal article
We are interested in the simulation of P-SV seismic wave propagation by a high-order Discontinuous Galerkin method based on centered fluxes at the interfaces combined with a leap-frog time-integration. This non-diffusive method, previously developed for the Maxwell equations, is particularly well adapted to complex topographies and fault...
Uploaded on: October 11, 2023 -
2005 (v1)Journal article
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Uploaded on: December 4, 2022 -
June 1, 2008 (v1)Journal article
This paper is concerned with the design of a high-order discontinuous Galerkin (DG) method for solving the 2-D time-domain Maxwell equations on nonconforming triangular meshes. The proposed DG method allows for using nonconforming meshes with arbitrary-level hanging nodes. This method combines a centered approximation for the evaluation of...
Uploaded on: December 3, 2022 -
1990 (v1)Report
Considering the TVD methods as accuracy-adaption methods, we propose a strategy for deciding mesh refinements for TVD-approximated compressible flows. Both mesh enrichment and deformation are applied to typical test cases involving shocks boundary layers : a flow past a flat plate and flows around an airfoil.
Uploaded on: December 3, 2022 -
2009 (v1)Report
In the recent years, there has been an increasing interest in discontinuous Galerkin time domain (DGTD) methods for the solution of the unsteady Max\-well equations modeling electromagnetic wave propagation. One of the main features of DGTD methods is their ability to deal with unstructured meshes which are particularly well suited to the...
Uploaded on: December 3, 2022 -
July 19, 2010 (v1)Journal article
We report on results concerning a discontinuous Galerkin time domain (DGTD) method for the solution of Maxwell equations. This DGTD method is formulated on unstructured simplicial meshes (triangles in 2-D and tetrahedra in 3-D). Within each mesh element, the electromagnetic field components are approximated by an arbitrarily high order nodal...
Uploaded on: December 4, 2022