Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/80967
Title: Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity
Authors: Li, Peijun
Wang, Li-Lian
Wood, Aihua
Keywords: Time-domain Maxwell equations
Transparent boundary conditions
Three-dimensional open cavity scattering problem
Well-posedness
Stability
A priori estimates
Issue Date: 2015
Source: Li, P., Wang, L.-L., & Wood, A. (2015). Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity. SIAM Journal on Applied Mathematics, 75(4), 1675-1699.
Series/Report no.: SIAM Journal on Applied Mathematics
Abstract: This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional open cavity. An exact transparent boundary condition is developed to reformulate the open cavity scattering problem in an unbounded domain, equivalently, into an initial-boundary value problem in a bounded domain. The well-posedness and stability are studied for the reduced problem. Moreover, an a priori estimate is established for the electric field with a minimum regularity requirement for the data.
URI: https://hdl.handle.net/10356/80967
http://hdl.handle.net/10220/39039
ISSN: 0036-1399
DOI: 10.1137/140989637
Schools: School of Physical and Mathematical Sciences 
Rights: © 2015 Society for Industrial and Applied Mathematics. This paper was published in SIAM Journal on Applied Mathematics and is made available as an electronic reprint (preprint) with permission of Society for Industrial and Applied Mathematics. The published version is available at: [http://dx.doi.org/10.1137/140989637]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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