“Hybrid” electric–magnetic methods in eddy-current problems

✍ Scribed by A. Bossavit

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 149 KB
• Volume: 178
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00027-4

✦ Synopsis

We discuss a method of approximation of eddy-current equations in bounded space that relies on the use of the electric ®eld as primary variable in the conductive parts and of the magnetic ®eld in the air. Theoretical issues about this hybrid approach are addressed (is the problem well-posed?) and one shows that edge elements offer a straightforward way to discretize such formulations. The now-popular ``A±V±u'' method is then shown to come as a variant of this formulation, in such a way that it allows the use of standard nodal elements. However, attention is called on the fact that the numerical convergence of the latter method may be in question.