Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains

Lina Ma, Jie Shen, Li Lian Wang

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We develop in this paper an efficient and robust spectral-Galerkin method for solving the three-dimensional time-harmonic Maxwell equations in exterior domains. We first reduce the problem to a bounded domain by using the capacity operator which characterizes the transparent boundary condition (TBC). Then, we adopt the transformed field expansion (TFE) approach to reduce the problem to a sequence of Maxwell equations in a spherical shell. Finally, we develop an efficient spectral algorithm by using Legendre approximation in the radial direction and vector spherical harmonic expansion in the tangential directions.

Original languageEnglish (US)
Pages (from-to)366-383
Number of pages18
JournalInternational Journal of Numerical Analysis and Modeling
Volume12
Issue number2
StatePublished - 2015

Fingerprint

Spectral Approximation
Exterior Domain
Maxwell equations
Maxwell's equations
Harmonic
Spectral Galerkin Method
Transparent Boundary Conditions
Three-dimensional
Spherical Shell
Spherical Harmonics
Galerkin methods
Legendre
Mathematical operators
Bounded Domain
Boundary conditions
Approximation
Operator

All Science Journal Classification (ASJC) codes

  • Numerical Analysis

Cite this

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Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains. / Ma, Lina; Shen, Jie; Wang, Li Lian.

In: International Journal of Numerical Analysis and Modeling, Vol. 12, No. 2, 2015, p. 366-383.

Research output: Contribution to journalArticle

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