A transient eddy current problem on a moving domain. Numerical analysis

作者：Bermudez A; Munoz Sola R; Reales C^*; Rodriguez R; Salgado P

来源：Advances in Computational Mathematics, 2016, 42(4): 757-789.

DOI：10.1007/s10444-015-9441-0

• Electromagnetic forming
• Transient eddy current problem
• Axisymmetric problem
• Degenerate parabolic problem
• Moving domain
• Finite elements

The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of BermA(0)dez et al. (SIAM J. Math. Anal. 45, 3629-3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method.

• 出版日期2016-8