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Perfectly matched layers for Maxwell's equations in second order formulation
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2005 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 209, no 1, 19-46 p.Article in journal (Refereed) Published
Abstract [en]

We consider the two-dimensional Maxwell's equations in domains external to perfectly conducting objects of complex shape. The equations are discretized using a node-centered finite-difference scheme on a Cartesian grid and the boundary condition are discretized to second order accuracy employing an embedded technique which does not suffer from a "small-cell" time-step restriction in the explicit time-integration method. The computational domain is truncated by a perfectly matched layer (PML). We derive estimates for both the error due to reflections at the outer boundary of the PML, and due to discretizing the continuous PML equations. Using these estimates, we show how the parameters of the PML can be chosen to make the discrete solution of the PML equations converge to the solution of Maxwell's equations on the unbounded domain, as the grid size goes to zero. Several numerical examples are given.

Place, publisher, year, edition, pages
2005. Vol. 209, no 1, 19-46 p.
Keyword [en]
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-38468DOI: 10.1016/ 000230008700002ScopusID: 2-s2.0-20344395591OAI: diva2:437426
QC 20110829Available from: 2011-08-29 Created: 2011-08-26 Last updated: 2011-08-29Bibliographically approved

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Sjögreen, Björn
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