Abstract
A new family of source integral equations is presented, dedicated to the solution of time-harmonic Maxwell scattering problems. Regardless of the composition of the obstacle – metallic, full dielectric or coated with an impedance layer – we show that a general methodology is able to guide the construction of some special equations whose the foremost feature is to be well-conditioned. Indeed, all of them are free of spurious modes and appear as some compact perturbations of positive operators (when it is not the identity), leading therefore to fast iterative solutions without the help of any preconditioner. These intrinsically well-conditioned equations open the way for interesting new developments in the field of boundary equation methods for Maxwell applications.
Invited speaker at the SCEE 2008 conference
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Levadoux, D.P., Millot, F., Pernet, S. (2010). New Trends in the Preconditioning of Integral Equations of Electromagnetism. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_48
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DOI: https://doi.org/10.1007/978-3-642-12294-1_48
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