\(A\)-\(\phi\) formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field

DOI10.1016/j.cma.2017.03.045zbMath1439.35459OpenAlexW2607866544MaRDI QIDQ2309888

Jaroslav Chovan, Christophe A. Geuzaine, Marián Slodička

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.03.045

zbMATH Keywords

vector potentialMaxwell's equationsscalar potentialmonotone operatorsRothe's methodMinty-Browder

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic effects in solid mechanics (74F15) Basic methods for problems in optics and electromagnetic theory (78M99) PDEs in connection with mechanics of deformable solids (35Q74) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Maxwell equations (35Q61)

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Uses Software

• Gmsh
• GetDP

Cites Work

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