A well-conditioned boundary integral equation for transmission problems of electromagnetism. (English) Zbl 1332.31005

Levadoux, David; Millot, Florence; Pernet, Sébastien

J. Integral Equations Appl. 27, No. 3, 431-453 (2015).

Summary: 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.

MSC:

31B10	Integral representations, integral operators, integral equations methods in higher dimensions
65F08	Preconditioners for iterative methods
76M15	Boundary element methods applied to problems in fluid mechanics
78M16	Multipole methods applied to problems in optics and electromagnetic theory

Keywords:

integral equation; boundary element method; transmission problem; preconditioner; fast multipole method

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