Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Applied Mathematics and Computation Année : 2018

Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation

Résumé

We study the numerical dispersion/dissipation of a triangle-based edge Finite Element Method (edgeFEM) of degree r ≥ 1 when coupled with the Leap-Frog (LF) finite difference scheme to simulate the electromagnetic wave propagation over a structured triangulation of the 2D physical domain. The analysis addresses the discrete eigenvalue problem resulting from the approximation of the dispersion relation. First, we present semi-discrete dispersion graphs by varying the approximation degree r and the number of discrete points per wavelength. The fully-discrete ones are then obtained by varying also the time step. Numerical results for the edgeFEM, resp. edgeFEM-LF, are compared with those for the node Finite Element Method (nodeFEM), resp. nodeFEM-LF, applied to the considered problem.
Fichier non déposé

Dates et versions

hal-01949026 , version 1 (09-12-2018)

Identifiants

Citer

Marcella Bonazzoli, Francesca Rapetti, Chiara Venturini. Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation. Applied Mathematics and Computation, 2018, Recent Advances in Computing, 319, pp.274-286. ⟨10.1016/j.amc.2017.03.026⟩. ⟨hal-01949026⟩
122 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More