A new spectral truncation method for filtering 3D EFIE integral operators is introduced using the spherical Hankel transform representation of the Green's function, supported by semi-analytical and numerical evidence on operator spectra.
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Shape optimization of Maxwell eigenvalues via adjoint sensitivities on a reference domain, solved with a damped inverse BFGS method and mixed finite elements.
A preconditioning technique for the shifted Helmholtz operator stabilizes EFIE iterative solvers across multiple frequency and discretization regimes, enabling quasi-linear complexity.
A local multilevel preconditioned Jacobi-Davidson solver for singular elliptic eigenvalue problems on adaptive meshes achieves O(N) complexity and uniform convergence independent of mesh level and coefficient discontinuities.
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Numerical Eigenvalue Optimization by Shape-Variations for Maxwell's Eigenvalue Problem
Shape optimization of Maxwell eigenvalues via adjoint sensitivities on a reference domain, solved with a damped inverse BFGS method and mixed finite elements.