Residual distribution schemes for Maxwell's equations

DOI10.1016/j.amc.2018.11.055zbMath1428.78034OpenAlexW2905064955WikidataQ128783934 ScholiaQ128783934MaRDI QIDQ2008824

Yanyan Li

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.11.055

zbMATH Keywords

electromagnetic scatteringelectromagnetic radiationelectromagnetic waveguiderow-mass-lumpingsecond-order residual distributiontime-dependent hyperbolic

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25)

Related Items (4)

Time-explicit numerical methods for Maxwell's equation in second-order form ⋮ Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography ⋮ Linearity preserving modified LDA methods for unsteady advection-diffusion problems ⋮ Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Second-order-accurate explicit fluctuation splitting schemes for unsteady problems
• A high-order nonconservative approach for hyperbolic equations in fluid dynamics
• Second order finite volume scheme for Maxwell's equations with discontinuous electromagnetic properties on unstructured meshes
• Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
• Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws
• A class of residual distribution schemes and their relation to relaxation systems
• Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case
• Residual distribution schemes: current status and future trends
• Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Developments of entropy-stable residual distribution methods for conservation laws I: Scalar problems
• MHD-A: A fluctuation splitting wave model for planar magnetohydrodynamics
• Multidimensional corrections to cell-centered finite volume methods for Maxwell equations
• Runge-Kutta residual distribution schemes
• Two coupled particle-finite volume methods using Delaunay-Voronoï meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations
• Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws
• Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids
• A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems
• Analysis of high-order-accurate fluctuation splitting schemes for steady advection
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• A Multiple-Grid Scheme for Solving the Euler Equations
• A new finite volume scheme for solving Maxwell’s system
• A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes
• Kirchhoff's Laws as a Finite Volume Method for the Planar Maxwell Equations
• Computational Electromagnetics
• Toward the ultimate conservative scheme: Following the quest

This page was built for publication: Residual distribution schemes for Maxwell's equations