Integral equation methods for elastance and mobility problems in two dimensions
Numerical Analysis
2017-12-25 v1
Abstract
We present new integral representations in two dimensions for the elastance problem in electrostatics and the mobility problem in Stokes flow. These representations lead to resonance-free Fredholm integral equations of the second kind and well conditioned linear systems upon discretization. By coupling our integral equations with high order quadrature and fast multipole acceleration, large-scale problems can be solved with only modest computing resources. We also discuss some applications of these boundary value problems in applied physics.
Cite
@article{arxiv.1507.05925,
title = {Integral equation methods for elastance and mobility problems in two dimensions},
author = {Manas Rachh and Leslie Greengard},
journal= {arXiv preprint arXiv:1507.05925},
year = {2017}
}
Comments
38 pages, 11 figures