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22 papers · 2 filters
Existence of guided waves due to a lineic perturbation of a 3D periodic medium
Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya
In this note, we exhibit a three dimensional structure that permits to guide waves. This structure is obtained by a geometrical perturbation of a 3D periodic domain that consists o…
Linearly Convergent Randomized Iterative Methods for Computing the Pseudoinverse
Robert M. Gower, Peter Richtárik
We develop the first stochastic incremental method for calculating the Moore-Penrose pseudoinverse of a real matrix. By leveraging three alternative characterizations of pseudoinve…
Approximate fast graph Fourier transforms via multi-layer sparse approximations
Luc Le Magoarou, Rémi Gribonval, Nicolas Tremblay
The Fast Fourier Transform (FFT) is an algorithm of paramount importance in signal processing as it allows to apply the Fourier transform in O(n log n) instead of O(n 2) arithmetic…
A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
Liang Li, Stéphane Lanteri, N. Asger Mortensen +1
We propose Hybridizable Discontinuous Galerkin (HDG) methods for solving the frequency-domain Maxwell's equations coupled to the Nonlocal Hydrodynamic Drude (NHD) and Generalized N…
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method
Xavier Antoine, Antoine Levitt, Qinglin Tang
We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral spatial dis-cretization scheme for computing the ground states (GS) of rotating Bose-Einstei…
An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations
Matteo Giacomini
The certified descent algorithm (CDA) is a gradient-based method for shape optimization which certifies that the direction computed using the shape gradient is a genuine descent di…