Corner asymptotics of the magnetic potential in the eddy-current model

DOI10.1002/mma.2947zbMath1301.35166OpenAlexW2124227163MaRDI QIDQ2925141

Ronan Perrussel, Patrick Dular, Laurent Krähenbühl, Monique Dauge, Victor Péron, Clair Poignard

Publication date: 20 October 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00779067/file/RR-8204.pdf

zbMATH Keywords

singular functionsfinite element computationseddy-current modelcorner asymptotic expansion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Variational methods applied to problems in optics and electromagnetic theory (78M30) Singular elliptic equations (35J75)

Related Items (5)

The Laplace equation in 3D domains with cracks: dual singularities with log terms and extraction of corresponding edge flux intensity functions ⋮ Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials ⋮ Asymptotic expansions and effective boundary conditions: a short review for smooth and nonsmooth geometries with thin layers ⋮ Asymptotic analysis of a biphase tumor fluid flow: the weak coupling case. ⋮ Regularity for Maxwell eigenproblems in photonic crystal fibre modelling

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• A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions

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