Solvability for induction hardening including nonlinear magnetic field and controlled Joule heating

DOI10.1080/00036811.2016.1243661zbMath1386.35230OpenAlexW2528458790WikidataQ58147331 ScholiaQ58147331MaRDI QIDQ4597845

Jaroslav Chovan, Marián Slodička

Publication date: 14 December 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1243661

zbMATH Keywords

Maxwell's equationsmonotone operatorsRothe's methodJoule heating

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Maxwell equations (35Q61) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Fully discrete T‐ψ finite element method to solve a nonlinear induction hardening problem ⋮ A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition ⋮ Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model ⋮ Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece ⋮ Solvability analysis of a magneto-heat coupling magnetization model for ferromagnetic materials

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