Analysis and numerical simulation of an induction-conduction model arising in steel heat treating

DOI10.1016/J.CAM.2011.04.007zbMath1243.80005OpenAlexW1966900637MaRDI QIDQ415223

C. García Vázquez, M. T. González Montesinos, José Manuel Díaz Moreno, Francisco Ortegón Gallego

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.007

zbMATH Keywords

Sobolev spacesnonlinear parabolic equationweak solutionfinite element methodelliptic equationexistence resultphase fractionsteel hardening

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Numerical Simulation of Potential Maxwell’s Equations in the Harmonic Regime ⋮ Analysis and numerical simulation of an induction-conduction model arising in steel heat treating ⋮ On an induction-conduction PDEs system in the harmonic regime ⋮ Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening

Uses Software

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Cites Work

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• Analysis and numerical simulation of an induction-conduction model arising in steel heat treating
• Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces
• A numerical method for transient simulation of metallurgical compound electrodes.
• Regularity of weak solution to Maxwell's equations and applications to microwave heating
• A mathematical model for induction hardening including mechanical effects
• Numerical simulation of induction hardening of steel

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