A finite-element approximation of a quasi-magnetostatic 3D eddy current model by fractional-step A-ψ scheme

✍ Scribed by Changfeng Ma

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 775 KB
• Volume: 39
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(04)90526-2

✦ Synopsis

We propose in this paper a fractional-step A-¢ scheme for a quasi-magnetostatic 3D eddy current model by means of finite-element approximations. Bounds for continuous and discrete error in finite time are given, and it is verified that provided the time step ~-is sufficiently small, the proposed algorithm yields for finite time T an error of ©(~) in the L2-norm for the magnetic field H(= ~,V x A), where h is the mesh size. (~) 2004 Elsevier Ltd. All rights reserved.