Change search
ReferencesLink to record
Permanent link

Direct link
Consistent boundary conditions for the Yee scheme
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
KTH, School of Computer Science and Communication (CSC).
2008 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 227, no 14, 6922-6943 p.Article in journal (Refereed) Published
Abstract [en]

A new set of consistent boundary conditions for Yee scheme approximations of wave equations in two space dimensions are developed and analyzed. We show how the classical staircase boundary conditions for hard reflections or, in the electromagnetic case, conducting surfaces in certain cases give 0(l) errors. The proposed conditions keep the structure of the Yee scheme and are thus well suited for high performance computing. The higher accuracy is achieved by modifying the coefficients in the difference stencils near the boundary. This generalizes our earlier results with Gustafsson and Wahlund in one space dimension. We study stability and convergence and we present numerical examples.

Place, publisher, year, edition, pages
2008. Vol. 227, no 14, 6922-6943 p.
Keyword [en]
finite difference time domain (FDTD), stair-case boundary, modified, coefficients, conformal fdtd-method, maxwells equations, wave-propagation, error
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-17677DOI: 10.1016/ 000257479200012ScopusID: 2-s2.0-44649194387OAI: diva2:335722
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2012-02-02Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Tornberg, Anna-KarinEngquist, Björn
By organisation
Numerical Analysis, NASchool of Computer Science and Communication (CSC)
In the same journal
Journal of Computational Physics
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 37 hits
ReferencesLink to record
Permanent link

Direct link