Integral equation methods for electrostatics, acoustics and electromagnetics in smoothly varying, anisotropic media
| Autor: | Imbert-Gerard, Lise-Marie, Vico, Felipe, Greengard, Leslie, Ferrando, Miguel |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 case, our approach involves a minor modification of a classical formulation. In the electrostatic or acoustic setting, we introduce a new vector partial differential equation, from which the desired solution is easily obtained. It is the vector equation for which we derive a well-conditioned integral equation. In addition to providing a unified framework for these solvers, we illustrate their performance using iterative solution methods coupled with the FFT-based technique of [1] to discretize and apply the relevant integral operators. Comment: 25 pages, 3 figures |
| Databáze: | arXiv |
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