\(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor

DOI10.1016/S0096-3003(03)00754-9zbMath1061.78013OpenAlexW2080282435MaRDI QIDQ1883146

Tong Kang, Chang-Feng Ma, Guo-Ping Liang

Publication date: 1 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00754-9

zbMATH Keywords

error estimatesmagnetic fieldfinite element approximationnatural boundary reductioneddy current problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Related Items (1)

\(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor

Cites Work

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• Mixed finite elements in \(\mathbb{R}^3\)
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• \(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor
• The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association
• Preconditioning of the second‐kind boundary integral equations for 3D eddy current problems
• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• Analysis of a Finite Element Method for Maxwell’s Equations
• A Justification of Eddy Currents Model for the Maxwell Equations
• Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
• Symmetric Coupling for Eddy Current Problems
• Preconditioning the Poincaré-Steklov operator by using Green's function

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