A hybrid method for numerical solution of Poisson's equation in a domain with a dielectric corner

DOI10.1134/S096554251708005XzbMath1379.78013OpenAlexW2750777212MaRDI QIDQ1683182

A. I. Erokhin, Aleksandr Nikolayevich Bogolyubov, M. I. Svetkin, I. E. Mogilevskiĭ

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251708005x

zbMATH Keywords

finite element methodPoisson's equationdielectric corner

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30) Asymptotic analysis in optics and electromagnetic theory (78M35)

Cites Work

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• Elliptic problems in domains with piecewise smooth boundaries
• Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients
• Boundary-value problems for partial differential equations in non-smooth domains
• Singular finite elements for the sudden‐expansion and the die‐swell problems

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