Shape optimization of Maxwell eigenvalues via adjoint sensitivities on a reference domain, solved with a damped inverse BFGS method and mixed finite elements.
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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.
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Local Multilevel Preconditioned Jacobi-Davidson Method for Elliptic Eigenvalue Problems on Adaptive Meshes
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.