An \(\mathbf H\)-based FEM-BEM formulation for a time dependent eddy current problem

DOI10.1016/j.apnum.2007.04.002zbMath1208.78033OpenAlexW1995230562MaRDI QIDQ932775

Virginia Selgas, Salim Meddahi

Publication date: 11 July 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.04.002

zbMATH Keywords

mixed finite elementsboundary elementseddy currents

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Existence results for a class of two-fold saddle point parabolic differential equations ⋮ A boundary and finite element coupling for a magnetically nonlinear eddy current problem ⋮ Numerical analysis of a transient non-linear axisymmetric eddy current model ⋮ An 𝐸-based mixed formulation for a time-dependent eddy current problem ⋮ Numerical analysis of a penalty approach for the solution of a transient eddy current problem

Cites Work

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• Mixed finite elements in \(\mathbb{R}^3\)
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Electromagnetism, in view of modeling
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• Boundary element methods for Maxwell's equations on non-smooth domains
• An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems
• On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Vector potentials in three-dimensional non-smooth domains
• An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
• A mixed–FEM and BEM coupling for a three-dimensional eddy current problem
• Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
• A Justification of Eddy Currents Model for the Maxwell Equations
• Symmetric Coupling for Eddy Current Problems
• A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations
• Finite Element Methods for Maxwell's Equations
• Mixed finite element approximation of eddy current problems

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