A full vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for nonsmooth electromagnetic fields in waveguides

DOI10.1016/j.jcp.2008.03.044zbMath1154.65093OpenAlexW2140588589MaRDI QIDQ934116

Wei Cai, Xia Ji, Kai Fan

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.03.044

zbMATH Keywords

discontinuous Galerkin methodSchrödinger equationbeam propagation methodinhomogeneous optical waveguide

Mathematics Subject Classification ID

Related Items (4)

Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient ⋮ A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers ⋮ An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures ⋮ High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces

Cites Work

• A generalized discontinuous Galerkin (GDG) method for Schrödinger equations with nonsmooth solutions
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions

This page was built for publication: A full vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for nonsmooth electromagnetic fields in waveguides