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Volume 26, Issue 3
Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

Xia Ji, Wei Cai & Pingwen Zhang

J. Comp. Math., 26 (2008), pp. 347-364.

Published online: 2008-06

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  • Abstract

In this paper, we analyze the transmission and reflection properties of a high order discontinuous Galerkin method for dispersive Maxwell's equations, originally proposed by Lu et al. [J. Comput. Phys. 200 (2004), pp. 549-580]. We study the reflection and transmission properties of the numerical method for up to second-order polynomial elements for one- and two-dimensional Maxwell's equations with rectangular meshes. High order accuracy has been shown for reflection and transmission coefficients near material interfaces.

  • Keywords

Discontinuous Galerkin Method, Reflection, Transmission

  • AMS Subject Headings

65N50, 65N15, 35A40, 35J05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-347, author = {Xia Ji, Wei Cai and Pingwen Zhang}, title = {Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {347--364}, abstract = {

In this paper, we analyze the transmission and reflection properties of a high order discontinuous Galerkin method for dispersive Maxwell's equations, originally proposed by Lu et al. [J. Comput. Phys. 200 (2004), pp. 549-580]. We study the reflection and transmission properties of the numerical method for up to second-order polynomial elements for one- and two-dimensional Maxwell's equations with rectangular meshes. High order accuracy has been shown for reflection and transmission coefficients near material interfaces.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8630.html} }
TY - JOUR T1 - Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media AU - Xia Ji, Wei Cai & Pingwen Zhang JO - Journal of Computational Mathematics VL - 3 SP - 347 EP - 364 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8630.html KW - Discontinuous Galerkin Method, Reflection, Transmission AB -

In this paper, we analyze the transmission and reflection properties of a high order discontinuous Galerkin method for dispersive Maxwell's equations, originally proposed by Lu et al. [J. Comput. Phys. 200 (2004), pp. 549-580]. We study the reflection and transmission properties of the numerical method for up to second-order polynomial elements for one- and two-dimensional Maxwell's equations with rectangular meshes. High order accuracy has been shown for reflection and transmission coefficients near material interfaces.

Xia Ji, Wei Cai and Pingwen Zhang. (2008). Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media. Journal of Computational Mathematics. 26 (3). 347-364. doi:
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