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

Marcella Bonazzoli, Francesca Rapetti and Chiara Venturini

Applied Mathematics and Computation, 2018, vol. 319, issue C, 274-286

Abstract: 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.

Keywords: Electromagnetic wave equation; High-order approximations; Edge versus nodal finite elements; Triangular grids; Dispersion/dissipation analysis (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:274-286

DOI: 10.1016/j.amc.2017.03.026

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