Numerical Simulation of Potential Maxwell’s Equations in the Harmonic Regime

DOI10.1007/978-3-319-12307-3_32zbMath1331.65119OpenAlexW2362673632MaRDI QIDQ3459728

M. T. González Montesinos, Francisco Ortegón Gallego

Publication date: 11 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12307-3_32

zbMATH Keywords

finite difference methodtemperatureelectric potentialnumerical experimentCrank-Nicolson methodparabolic-elliptic systemmagnetic vector potentialheating induction-conduction industrial process

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Technical applications of optics and electromagnetic theory (78A55) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Uses Software

• Unnamed Item

Cites Work

• Analysis and numerical simulation of an induction-conduction model arising in steel heat treating
• On an induction-conduction PDEs system in the harmonic regime
• A mathematical model for induction hardening including mechanical effects
• Mathematical modeling of heat treatment for a steering rack including mechanical effects
• Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening

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