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Volume 26, Issue 3
On Maxwell Equations with the Transparent Boundary Condition

Zhiming Chen & Jean-Claude Nédélec

J. Comp. Math., 26 (2008), pp. 284-296.

Published online: 2008-06

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  • Abstract

In this paper we show the well-posedness and stability of the Maxwell scattering problem with the transparent boundary condition. The proof depends on the well-posedness of the time-harmonic Maxwell scattering problem with complex wave numbers which is also established.

  • Keywords

Electromagnetic scattering, Well-posedness, Stability.

  • AMS Subject Headings

35L50, 35B35.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-284, author = {Chen , Zhiming and Nédélec , Jean-Claude}, title = {On Maxwell Equations with the Transparent Boundary Condition}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {284--296}, abstract = {

In this paper we show the well-posedness and stability of the Maxwell scattering problem with the transparent boundary condition. The proof depends on the well-posedness of the time-harmonic Maxwell scattering problem with complex wave numbers which is also established.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8625.html} }
TY - JOUR T1 - On Maxwell Equations with the Transparent Boundary Condition AU - Chen , Zhiming AU - Nédélec , Jean-Claude JO - Journal of Computational Mathematics VL - 3 SP - 284 EP - 296 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8625.html KW - Electromagnetic scattering, Well-posedness, Stability. AB -

In this paper we show the well-posedness and stability of the Maxwell scattering problem with the transparent boundary condition. The proof depends on the well-posedness of the time-harmonic Maxwell scattering problem with complex wave numbers which is also established.

Chen , Zhiming and Nédélec , Jean-Claude. (2008). On Maxwell Equations with the Transparent Boundary Condition. Journal of Computational Mathematics. 26 (3). 284-296. doi:
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