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Solving Maxwell’s eigenvalue problem via isogeometric boundary elements and a contour integral method. (English) Zbl 1473.35536

Summary: We solve Maxwell’s eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.

MSC:

35Q61 Maxwell equations
35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
65D07 Numerical computation using splines
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