Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Prof. Tong Kang, School of Data Science and Medium Intelligence, Communication University of China
| | Inviter: | 曹礼群 研究员 | Title:
| Fully Discrete T-ψ Finite Element Method to Solve a Nonlinear Induction Hardening Problem | Time & Venue:
| 2019.7.19 16:00-17:00 N702 | Abstract:
| We study an induction hardening model described by Maxwell's equations coupled with a heat equation. The magnetic induction field is assumed a nonlinear constitutional relation and the electric conductivity is temperature dependent. The T-ψ method is to transform Maxwell's equations to the vector scalar potential for mulations and to solve the potentials by means of the finite element method. In this talk, we present a fully discrete T-ψ finite element scheme for this nonlinear coupled problem and discuss its solvability. We prove that the discrete solution converges to a weak solution of the continuous problem. Finally, we conclude with several numerical experiments for the coupled system. | |
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