Name
Abstract | ||
|---|---|---|
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 Bermúdez 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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s10444-015-9441-0 | Adv. Comput. Math. |
Keywords | Field | DocType |
Electromagnetic forming,Transient eddy current problem,Axisymmetric problem,Degenerate parabolic problem,Moving domain,Finite elements,78M10,65N30 | Well-posed problem,Mathematical optimization,Mathematical analysis,Time derivative,Finite element method,Eddy current,Numerical analysis,Backward Euler method,Mathematics,Weak formulation,Parabola | Journal |
Volume | Issue | ISSN |
42 | 4 | 1019-7168 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfredo Bermúdez | 1 | 47 | 13.97 |
| Rafael Muñoz-Sola | 2 | 1 | 0.77 |
| Carlos Reales | 3 | 2 | 1.46 |
| Rodolfo Rodríguez | 4 | 38 | 8.89 |
| Pilar Salgado | 5 | 16 | 5.55 |