Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems

DOI10.1137/120890648zbMath1284.78012OpenAlexW1978521024MaRDI QIDQ2855112

Alberto Valli, Enrico Bertolazzi, Riccardo Ghiloni, Ana M. Alonso Rodriguez

Publication date: 24 October 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://eprints.biblio.unitn.it/3994/1/Preprint_UTM_753_(2).pdf

zbMATH Keywords

magnetostatics loop fields edge finite elements first de Rham cohomology group harmonic Neumann fields

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) de Rham cohomology and algebraic geometry (14F40) Electro- and magnetostatics (78A30) First-order elliptic systems (35J46)

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