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This article is cited in 3 scientific papers (total in 3 papers)
A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner
A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii, M. Svetkin Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
Abstract:
An electrostatic problem of determining a potential in a domain containing an incoming dielectric corner, which reduces to solving Poisson’s equation in this domain, is considered. A specific feature of the solution of this problem is that it is bounded in a neighborhood of the dielectric corner but its gradient increases without limit. An efficient hybrid algorithm for the numerical solution of the problem, based on the finite element method and taking into account the known asymptotic representation of the solution in the neighborhood of the dielectric corner, is proposed.
Key words:
Poisson's equation, dielectric corner, finite element method.
Received: 16.06.2016
Citation:
A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii, M. Svetkin, “A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1321–1330; Comput. Math. Math. Phys., 57:8 (2017), 1310–1319
Linking options:
https://www.mathnet.ru/eng/zvmmf10602 https://www.mathnet.ru/eng/zvmmf/v57/i8/p1321
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Abstract page: | 260 | Full-text PDF : | 67 | References: | 40 | First page: | 9 |
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