Finite element approximation of the spectrum of the curl operator in a multiply connected domain

DOI10.1007/s10208-018-9373-4zbMath1404.65243OpenAlexW2785064227MaRDI QIDQ1620892

Alberto Valli, Pablo Venegas, Jessika Camaño, Rodolfo Rodríguez, Ana M. Alonso Rodriguez

Publication date: 14 November 2018

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-018-9373-4

zbMATH Keywords

finite element approximationBeltrami fieldsmultiply connected domainforce-free fieldsspectrum of curl operator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

A Graph-Based Algorithm for the Approximation of the Spectrum of the Curl Operator ⋮ Relative magnetic helicity in multiply connected domains ⋮ A variational interpretation of the Biot–Savart operator and the helicity of a bounded domain ⋮ On the proof of Taylor's conjecture in multiply connected domains

Uses Software

• Gmsh

Cites Work

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