Consistent boundary conditions for the Yee scheme

DOI10.1016/j.jcp.2008.03.045zbMath1154.65354OpenAlexW1970359406MaRDI QIDQ933299

Anna-Karin Tornberg, Björn Engquist

Publication date: 21 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.2008.03.045

zbMATH Keywords

modified coefficientsfinite difference time domain (FDTD)stair-case boundary

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh ⋮ Kelvin wave propagation along straight boundaries in C-grid finite-difference models ⋮ A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations ⋮ A fourth order finite difference method for waveguides with curved perfectly conducting boundaries ⋮ Accuracy of staircase approximations in finite-difference methods for wave propagation ⋮ On energy preserving consistent boundary conditions for the Yee scheme in 2D

Cites Work

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• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Finite Element Methods for Maxwell's Equations
• A uniformly stable conformal FDTD-method in Cartesian grids
• A Staggered Upwind Embedded Boundary (SUEB) Method to Eliminate the FDTD Staircasing Error
• Convergent Cartesian grid methods for Maxwell's equations in complex geometries.

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