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Listar por autor "Greengard, Leslie"

Mostrando ítems 1-8 de 8

An Augmented Regularized Combined Source Integral Equation for Nonconforming Meshes

Vico Bondía, Felipe; Greengard, Leslie; Ferrando Bataller, Miguel; Antonino Daviu, Eva (Institute of Electrical and Electronics Engineers, 2019-04)

[EN] We present a new version of the regularized combined source integral equation (CSIE-AR) for the solution of electromagnetic scattering problems in the presence of perfectly conducting bodies. The integral equation is ...
Boundary integral equation analysis on the sphere

Vico Bondía, Felipe; Greengard, Leslie; Gimbutas, Zydrunas (Springer Verlag (Germany), 2014-11)

We present a systematic analysis of the integral operators of potential theory that arise when solving the Helmholtz or Maxwell equations in the exterior (or interior) of a sphere in the frequency domain. After obtaining ...
Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles

Vico Bondía, Felipe; Greengard, Leslie; Ferrando Bataller, Miguel (Taylor & Francis, 2018)

[EN] We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector ...
Fast convolution with free-space Green's functions

Vico Bondía, Felipe; Greengard, Leslie; Ferrando Bataller, Miguel (Elsevier, 2016-10-15)

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 distribution defined on a uniform grid. The ...
Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures

Greengard, Leslie; O Neil, Michael; Rachh, Manas; Vico Bondía, Felipe (Elsevier, 2021-03)

[EN] While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupling to high-order quadratures for ...
Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media

Imbert-Gérard, Lise-Marie; Vico Bondía, Felipe; Greengard, Leslie; Ferrando Bataller, Miguel (Society for Industrial and Applied Mathematics, 2019)

[EN] We present a collection of well-conditioned integral equation methods for the solution of electrostatic, acoustic, or electromagnetic scattering problems involving anisotropic, inhomogeneous media. In the electromagnetic ...
Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation

Vico Bondía, Felipe; Gimbutas, Zydrunas; Greengard, Leslie; Ferrando Bataller, Miguel (Institute of Electrical and Electronics Engineers (IEEE), 2013-03)

In the electromagnetics literature, significant attention has been paid to the problem of low-frequency breakdown in the electric field integral equation. By contrast, the magnetic field integral equation is well-conditioned ...
The decoupled potential integral equation for time harmonic electromagnetic scattering

Vico Bondía, Felipe; Ferrando Bataller, Miguel; Greengard, Leslie; Gimbutas, Zydrunas (Wiley: 12 months, 2016-04)

[EN] We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based on the standard vector and scalar ...