A finite-element approximation of a quasi-magnetostatic 3D eddy current model by fractional-step A-\(\psi\) scheme

DOI10.1016/S0895-7177(04)90526-2zbMath1112.78021OpenAlexW2030910604MaRDI QIDQ1765027

Chang-Feng Ma

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(04)90526-2

zbMATH Keywords

error boundsfinite-element approximationEddy current problem

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)

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Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter ⋮ Convergence of \(\mathbf A\)-\(\phi \oplus \mathbf A\) a scheme for 3D eddy current model based on ungauged electromagnetic potentials ⋮ Lower and upper solutions method to the fully elastic cantilever beam equation with support ⋮ Two homoclinic solutions of a nonperiodic fourth-order impulsive differential equation ⋮ Convergence of finite element \(A-\phi\) method for solving time-dependent Maxwell's equations ⋮ MULTIPLICITY OF SOLUTIONS FOR A FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA VARIATIONAL METHODS

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