An Integral Equation Formulation of the $N$-Body Dielectric Spheres Problem. Part I: Numerical Analysis
作者： Benjamin Stamm , Muhammad Hassan
DOI:
关键词: Integral equation 、 Scaling 、 Numerical analysis 、 Mathematical analysis 、 Dielectric 、 Mathematics 、 SPHERES 、 Stability (probability) 、 Convergence (routing) 、 Approximation error
摘要: In this article, we analyse an integral equation of the second kind that represents solution $N$ interacting dielectric spherical particles undergoing mutual polarisation. A traditional analysis can not quantify scaling stability constants -- and thus approximation error with respect to number involved spheres. We develop a new priori demonstrates $N$-independent continuous discrete formulations equation. Consequently, obtain convergence rates are independent $N$.
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