Multiscale Finite Element Modeling of Nonlinear Magnetoquasistatic Problems using Magnetic Induction Conforming Formulations
DOI10.1137/16M1081609zbMath1406.65118arXiv1709.01475OpenAlexW2963136946MaRDI QIDQ4643802
Kevin Jacques, Patrick Dular, R. V. Sabariego, Christophe A. Geuzaine, Innocent Niyonzima
Publication date: 29 May 2018
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.01475
finite element methodasymptotic expansioncomposite materialscomputational homogenizationmultiscale modelingconvergence theorymagnetic hysteresiseddy currentsmagnetoquasistatic problems
Nonlinear parabolic equations (35K55) 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) Composite media; random media in optics and electromagnetic theory (78A48) Electromagnetic theory (general) (78A25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Electro- and magnetostatics (78A30) Asymptotic analysis in optics and electromagnetic theory (78M35) Homogenization in optics and electromagnetic theory (78M40)
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