Analysis of the \(A, V - A - \psi \) potential formulation for the eddy current problem in a bounded domain
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 270-284
The aim of this paper is to provide a mathematical analysis of the well-known !"$# potential formulation for the eddy current problem. The resulting variational problem is proved to be well posed and error estimates are settled for a numerical method based on standard nodal finite elements.$
Classification : 78M10, 65N30
Keywords: eddy currents, potential formulation, well-posedness, finite elements, error estimates
@article{ETNA_2007__26__a11,
     author = {Acevedo,  Ramiro and Rodr{\'\i}guez,  Rodolfo},
     title = {Analysis of the {\(A,} {V} - {A} - \psi \) potential formulation for the eddy current problem in a bounded domain},
     journal = {Electronic transactions on numerical analysis},
     pages = {270--284},
     year = {2007},
     volume = {26},
     zbl = {1173.78316},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a11/}
}
TY  - JOUR
AU  - Acevedo,  Ramiro
AU  - Rodríguez,  Rodolfo
TI  - Analysis of the \(A, V - A - \psi \) potential formulation for the eddy current problem in a bounded domain
JO  - Electronic transactions on numerical analysis
PY  - 2007
SP  - 270
EP  - 284
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/ETNA_2007__26__a11/
LA  - en
ID  - ETNA_2007__26__a11
ER  - 
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%A Rodríguez,  Rodolfo
%T Analysis of the \(A, V - A - \psi \) potential formulation for the eddy current problem in a bounded domain
%J Electronic transactions on numerical analysis
%D 2007
%P 270-284
%V 26
%U http://geodesic.mathdoc.fr/item/ETNA_2007__26__a11/
%G en
%F ETNA_2007__26__a11
Acevedo,  Ramiro; Rodríguez,  Rodolfo. Analysis of the \(A, V - A - \psi \) potential formulation for the eddy current problem in a bounded domain. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 270-284. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a11/