Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. (1st April 2021)

• Record Type: Journal Article
• Authors: Le, Van Chien; Slodička, Marián; Van Bockstal, Karel
• Is Part Of: Computers & mathematics with applications. Volume 87(2021)
• Page Start: 27
• Page End: 40
• Publication Date: 2021-04-01
• Subjects: Error estimates -- Contact electromagnetism -- Moving non-magnetic conductor -- Reynolds transport theorem -- Rothe's method; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.01.019
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In the present paper, we investigate an eddy current problem in a three-dimensional domain containing a moving non-magnetic workpiece. A time discretization scheme based on the backward Euler method is proposed to approximate the original problem. The convergence of the scheme is proved using the Reynolds transport theorem and the corresponding error estimates are derived under appropriate assumptions. Some numerical results are also presented to assess the performance of the proposed scheme as well as to confirm the obtained error estimates.