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Computation of the thermal field in tools during machining processes. (English) Zbl 0824.65139
Summary: This paper deals with the modelling and computation of the thermal field inside turning tools during machining processes. The analysis is developed for the parabolic heat equation both in the transient and steady case as well as for inverse-type problems where some information on the solution is obtained from experimental data. Some numerical simulations are performed and a discussion on some research perspectives is proposed.

MSC:
65Z05 Applications to the sciences
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35R30 Inverse problems for PDEs
80A23 Inverse problems in thermodynamics and heat transfer
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