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4 papers · 2 filters
Pseudo-spectral methods for the Laplace-Beltrami equation and the Hodge decomposition on surfaces of genus one
Lise-Marie Imbert-Gerard, Leslie Greengard
The inversion of the Laplace-Beltrami operator and the computation of the Hodge decomposition of a tangential vector field on smooth surfaces arise as computational tasks in many a…
Robust integral formulations for electromagnetic scattering from three-dimensional cavities
Jun Lai, Leslie Greengard, Michael O'Neil
Scattering from large, open cavity structures is of importance in a variety of electromagnetic applications. In this paper, we propose a new well conditioned integral equation for…
Fast convolution with free-space Green's functions
Felipe Vico, Leslie Greengard, Miguel Ferrando
We introduce a fast algorithm for computing volume potentials - that is, the convolution of a translation invariant, free-space Green's function with a compactly supported source d…
A fast platform for simulating flexible fiber suspensions applied to cell mechanics
Ehssan Nazockdast, Abtin Rahimian, Denis Zorin +1
We present a novel platform for the large-scale simulation of fibrous structures immersed in a Stokesian fluid and evolving under confinement or in free-space. One of the main moti…