Homogenization of Quasi-static Maxwell's Equations

DOI10.1137/130921398zbMath1314.35009OpenAlexW2043920299MaRDI QIDQ5250326

Weiying Zheng, Xue Jiang

Publication date: 19 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/76705879281e38e55b502ea657e748ad9950186b

zbMATH Keywords

finite element methodhomogenizationMaxwell's equationseddy currentgrain-oriented silicon steel lamination

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Maxwell equations (35Q61)

Related Items (7)

Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect ⋮ The general magneto-static model and Maxwell-Stokes system with topological parameters ⋮ On the Magneto-Heat Coupling Model for Large Power Transformers ⋮ Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type ⋮ Numerical analysis of a transient non-linear axisymmetric eddy current model ⋮ Solvability of wave propagation with Debye polarization in nonlinear dielectric materials and its finite element methods approximation ⋮ Eddy Current Model for Nondestructive Evaluation with Thin Cracks

Uses Software

• BoomerAMG

Cites Work

• Hp-finite element simulation of three-dimensional eddy current problems on multiply connected domains
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
• An \(\mathbf H\)-\(\psi \) formulation for the three-dimensional eddy current problem in laminated structures
• An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems
• Numerical analysis of nonlinear multiharmonic eddy current problems
• Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials
• Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
• An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
• An Efficient Eddy Current Model for Nonlinear Maxwell Equations with Laminated Conductors
• Homogenization of the Problem of Eddy Currents in a Transformer Core
• Vector potentials in three-dimensional non-smooth domains
• Singularities of eddy current problems
• A Justification of Eddy Currents Model for the Maxwell Equations
• Analysis of multilevel methods for eddy current problems
• Residual based a posteriori error estimators for eddy current computation
• Modeling and Application of Electromagnetic and Thermal Field in Electrical Engineering
• Nonlinear partial differential equations with applications
• Unnamed Item

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