An eddy current problem related to electromagnetic forming

• Autores: Alfredo Bermúdez de Castro y López-Varela , Rafael Muñoz Sola , Pilar Salgado Rodríguez , Carlos Reales, Rodolfo Rodríguez
• Localización: Numerical simulation in Physics and Engineering: proceedings of the XIV Spanish-French Jacques-Louis Lions School : (A Coruña, Spain, September 6-10th, 2010) / Íñigo Arregui (dir. congr.) , José Antonio García Rodríguez (dir. congr.) , Carlos Vázquez (dir. congr.) , 2010, ISBN 978-84-9749-420-5, págs. 238-254
• Idioma: inglés
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• Resumen

  • Electromagnetic forming is a high velocity cold forming process for electrically conductive materials. The aim of this paper is to analyze a numerical method to solve a transient axisymmetric eddy current problem arising from mathematical modelling of the process. We deal with a degenerate parabolic partial differential equation. Well-posedness can be proved by using regularization arguments. For numerical solution, a finite element method in space combined with an implicit Euler time discretization is proposed. Error estimates are obtained and numerical results are shown.