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BIT Numerical Mathematics
Erschienen in: BIT Numerical Mathematics 3/2012

01.09.2012

On energy preserving consistent boundary conditions for the Yee scheme in 2D

verfasst von: B. Engquist, J. Häggblad, O. Runborg

Erschienen in: BIT Numerical Mathematics | Ausgabe 3/2012

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Abstract

The Yee scheme is one of the most popular methods for electromagnetic wave propagation. A main advantage is the structured staggered grid, making it simple and efficient on modern computer architectures. A downside to this is the difficulty in approximating oblique boundaries, having to resort to staircase approximations.
In this paper we present a method to improve the boundary treatment in two dimensions by, starting from a staircase approximation, modifying the coefficients of the update stencil so that we can obtain a consistent approximation while preserving the energy conservation, structure and the optimal CFL-condition of the original Yee scheme. We prove this in L 2 and verify it by numerical experiments.
Vorheriger Artikel Adaptive wavelet methods for the stochastic Poisson equation
Nächster Artikel Resolvent Krylov subspace approximation to operator functions

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Fußnoten
1
Note that TE will never refer to the transverse electric field from here on.
 
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Metadaten
Titel
On energy preserving consistent boundary conditions for the Yee scheme in 2D
verfasst von
B. Engquist
J. Häggblad
O. Runborg
Publikationsdatum
01.09.2012
Verlag
Springer Netherlands
Erschienen in
BIT Numerical Mathematics / Ausgabe 3/2012
Print ISSN: 0006-3835
Elektronische ISSN: 1572-9125
DOI
https://doi.org/10.1007/s10543-012-0376-2

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