Journal of Integral Equations and Applications

A well-conditioned boundary integral equation for transmission problems of electromagnetism

David Levadoux, Florence Millot, and Sébastien Pernet

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We propose a new well-conditioned boundary integral equation to solve transmission problems of electromagnetism. This equation is well posed and appears as a compact perturbation of the identity leading to fast iterative solutions without the help of any preconditioner. Some numerical experiments confirm this result.

Article information

J. Integral Equations Applications, Volume 27, Number 3 (2015), 431-454.

First available in Project Euclid: 17 December 2015

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Zentralblatt MATH identifier

Primary: 31B10: Integral representations, integral operators, integral equations methods 65F08: Preconditioners for iterative methods 76M15: Boundary element methods 78M16: Multipole methods

Integral equation boundary element method transmission problem preconditioner GMRES fast multipole method


Levadoux, David; Millot, Florence; Pernet, Sébastien. A well-conditioned boundary integral equation for transmission problems of electromagnetism. J. Integral Equations Applications 27 (2015), no. 3, 431--454. doi:10.1216/JIE-2015-27-3-431.

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