A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Axially symmetric solutions to PDEs (35B07)

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