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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
Identifiers
URN: urn:nbn:se:kth:diva-17677DOI: 10.1016/j.jcp.2008.03.045ISI: 000257479200012Scopus ID: 2-s2.0-44649194387OAI: oai:DiVA.org:kth-17677DiVA: diva2:335722
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Tornberg, Anna-KarinEngquist, Björn
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