Method of moving frames to solve time-dependent Maxwell's equations on anisotropic curved surfaces: applications to invisible cloak and ELF propagation

DOI10.1016/j.jcp.2017.03.031zbMath1376.78009OpenAlexW2596537981MaRDI QIDQ1686442

Sehun Chun

Publication date: 15 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.03.031

zbMATH Keywords

Maxwell's equationsdiscontinuous Galerkin methodinvisible cloakupwind fluxanisotropic curved surfaceextremely low frequency propagation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items

Divergence/connection preservation scheme in the curvilinear domain with a small geometric approximation error, Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain, High-order method with moving frames to compute the covariant derivatives of vectors on general 2D curved surfaces, Relative acceleration of orthonormal basis vectors for the geometric conduction blocks of the cardiac electric signal propagation on anisotropic curved surfaces, \textit{Nektar}++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods

Uses Software

• Nektar++

Cites Work

• Method of moving frames to solve conservation laws on curved surfaces
• Method of moving frames to solve (an)isotropic diffusion equations on curved surfaces
• A perfectly matched layer for the absorption of electromagnetic waves
• Nektar++: an open-source spectral/\(hp\) element framework
• Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces
• Convergence of discrete Laplace-Beltrami operators over surfaces
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Refraction and geometry in Maxwell's equations
• Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks
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