Volume 26, pp. 270-284, 2007.

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

Ramiro Acevedo and Rodolfo Rodríguez

Abstract

The aim of this paper is to provide a mathematical analysis of the well-known $\mathbf{A},V-\mathbf{A}-\psi$ 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.

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Key words

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

AMS subject classifications

78M10, 65N30