On Energy Preserving Consistent Boundary Conditions for the Yee Scheme in 2D
2012 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 52, no 3, 615-637 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Springer, 2012. Vol. 52, no 3, 615-637 p.
Yee scheme, FDTD, Computational electromagnetics
IdentifiersURN: urn:nbn:se:kth:diva-73240DOI: 10.1007/s10543-012-0376-2ISI: 000308234600006ScopusID: 2-s2.0-84865704007OAI: oai:DiVA.org:kth-73240DiVA: diva2:488690
FunderSwedish e‐Science Research Center
QC 201209192012-02-022012-02-022013-04-08Bibliographically approved