Analysis of the $A, V - A - \psi$ potential formulation for the eddy current problem in a bounded domain

Summary

Summary: The aim of this paper is to provide a mathematical analysis of the well-known !"$# potential formulation for the eddy current problem. The resulting variational problem is proved to be well posed and error estimates are settled for a numerical method based on standard nodal finite elements.$

78M10, 65N30

Keywords/Phrases

eddy currents, potential formulation, well-posedness, finite elements, error estimates