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A Hybrid Method for the Solution of the Poisson Equation in the Domain of Metal-Dielectric Corners

A.N. Bogolyubov, A.I. Erokhin, I.E. Mogilevsky, M.I. Svetkin

Moscow University Physics Bulletin 2017. 72. N 1. P. 16

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Annotation

The Poisson’s equation in a two-dimensional domain that contains star metal-dielectric corners is considered. The corners can be only metal or only dielectric. In their neighborhood, the solution is bounded, but the gradient has power-law singularities. A numerical algorithm for solving this problem is proposed. The algorithm is based on the finite-element method and takes the asymptotic behavior of the solution in the neighborhood of metal-dielectric corners into account.

Received: 2016 June 15
Approved: 2017 April 17
PACS:
02.70.Dh Finite-element and Galerkin methods
Rissian citation:
А.Н. Боголюбов, А.И. Ерохин, И.Е. Могилевский, М.И. Светкин.
Гибридный метод решения уравнения Пуассона в области с металло-диэлектрическими углами.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2017. № 1. С. 17.
Authors
A.N. Bogolyubov, A.I. Erokhin, I.E. Mogilevsky, M.I. Svetkin
$^1$Faculty of physics, Lomonosov Moscow State University
Issue 1, 2017

Moscow University Physics Bulletin

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