A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations

DOI10.1016/J.JCP.2013.09.046zbMath1349.65444OpenAlexW1983211758MaRDI QIDQ348478

Daniel Appelö, Xi Chen, Thomas M. Hagstrom

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.09.046

zbMATH Keywords

spectral elementshybrid gridshyperbolic initial-boundary value problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Maxwell equations (35Q61)

Related Items (10)

Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation ⋮ A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form ⋮ Hermite Methods for the Scalar Wave Equation ⋮ Double absorbing boundaries for finite-difference time-domain electromagnetics ⋮ Variations on Hermite Methods for Wave Propagation ⋮ An Explicit Hermite-Taylor Method for the Schrödinger Equation ⋮ Solving PDEs with Hermite Interpolation ⋮ Leapfrog time-stepping for Hermite methods ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ High-resolution difference methods with exact evolution for multidimensional waves

Uses Software

• Matlab
• DistMesh

Cites Work

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