Electronic Transactions on Numerical Analysis.
Volume 26, pp. 270-284, 2007.
Copyright2007, Kent State University.
ISSN 1068-9613.
ETNA
Kent State University [email protected]
ANALYSIS OF THE
A;V APOTENTIAL FORMULATION FOR THE EDDY CURRENT PROBLEM IN A BOUNDED DOMAIN
RAMIRO ACEVEDOyANDRODOLFO RODR´IGUEZz
Abstract. The aim of this paper is to provide a mathematical analysis of the well-knownA ;V A 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.
Key words. eddy currents, potential formulation, well-posedness, finite elements, error estimates AMS subject classifications. 78M10, 65N30
Received August 30, 2006. Accepted for publication January 22, 2007. Recommended by O. Widlund.
yDepartamento de Ingenier´ıa Matem´atica, Universidad de Concepci´on, Casilla 160-C, Concepci´on, Chile ([email protected]). Permanent address: Departamento de Matem´aticas, Universidad del Cauca, Popay´an, Colombia. The research of this author was partially supported by MECESUP UCO0406 (Chile) and Uni- versidad del Cauca (Colombia).
zGI2MA, Departamento de Ingenier´ıa Matem´atica, Universidad de Concepci´on, Casilla 160-C, Concepci´on, Chile ([email protected]). The research of this author was partially supported by FONDAP in Applied Mathematics (Chile).
270
