Finite Element Analysis of Maxwell’s Equations in Dispersive Lossy Bi-Isotropic Media

Yunqing Huang; Jichun Li; Yanping Lin

doi:10.4208/aamm.13-13s06

Finite Element Analysis of Maxwell’s Equations in Dispersive Lossy Bi-Isotropic Media

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.13-13s06 ◽

2013 ◽

Vol 5 (04) ◽

pp. 494-509 ◽

Cited By ~ 5

Author(s):

Yunqing Huang ◽

Jichun Li ◽

Yanping Lin

Keyword(s):

Finite Element ◽

Existence And Uniqueness ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Practical Implementation ◽

Element Analysis ◽

Fully Discrete ◽

Isotropic Media ◽

Discrete Finite Element ◽

Finite Element Schemes

AbstractIn this paper, the time-dependent Maxwell’s equations used to modeling wave propagation in dispersive lossy bi-isotropic media are investigated. Existence and uniqueness of the modeling equations are proved. Two fully discrete finite element schemes are proposed, and their practical implementation and stability are discussed.

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Author(s):

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Keyword(s):

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discrete Finite Element ◽

Finite Element Schemes

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Keyword(s):

Finite Element ◽

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Maxwell’S Equations ◽

Maxwell's Equations ◽

Mixed Finite Element ◽

Dispersive Media ◽

Fully Discrete ◽

Finite Element Schemes

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Fully Discrete ◽

Discrete Finite Element

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Nonlinear Conductivity ◽

Fully Discrete ◽

Discrete Finite Element ◽

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pp. 1273-1283 ◽

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Finite Element Analysis ◽

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Time Dependent ◽

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Dielectric Breakdown ◽

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Finite Element Analysis Method

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Navier Stokes Equations ◽

Fully Discrete ◽

Discrete Finite Element ◽

Finite Element Schemes

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Stability And Convergence ◽

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Fully Discrete ◽

Discrete Finite Element ◽

Finite Element Schemes

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Developing and Analyzing New Unconditionally Stable Finite Element Schemes for Maxwell’s Equations in Complex Media

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Author(s):

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Keyword(s):

Finite Element ◽

Maxwell’S Equations ◽

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Complex Media ◽

Unconditionally Stable ◽

Finite Element Schemes

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