A comparative study of characteristic-based algorithms for the Maxwell equations

DOI10.1006/jcph.1996.0100zbMath0848.65087OpenAlexW1977044583MaRDI QIDQ1913818

Yanyan Li

Publication date: 2 July 1996

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.0100

zbMATH Keywords

Maxwell's equationswaveguidefinite volume approximationsoscillating electric dipolecharacteristic-based algorithmsflux vector equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Antennas, waveguides in optics and electromagnetic theory (78A50) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

Related Items (14)

A strong conservative Riemann solver for the solution of the coupled Maxwell and Navier-Stokes equations ⋮ Formalism of two potentials for the numerical solution of Maxwell’s equations ⋮ Petrov-Galerkin and discontinuous-Galerkin methods for time-domain and frequency-domain electromagnetic simulations ⋮ Simulating plasma microwave diagnostics ⋮ Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes ⋮ A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm ⋮ TIME-DOMAIN PARALLEL SIMULATION OF HETEROGENEOUS WAVE PROPAGATION ON UNSTRUCTURED GRIDS USING EXPLICIT, NONDIFFUSIVE, DISCONTINUOUS GALERKIN METHODS ⋮ Parallel discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimen\-sion\-al wave propagation problems ⋮ L²-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes ⋮ A discontinuous wave-in-cell numerical scheme for hyperbolic conservation laws ⋮ Approximate Riemann solver for the two-fluid plasma model. ⋮ High-order compact-difference schemes for time-dependent Maxwell equations ⋮ Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems ⋮ Hydrodynamic modeling of short-channel devices using an upwind flux vector splitting scheme.

This page was built for publication: A comparative study of characteristic-based algorithms for the Maxwell equations