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
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 -
%0 Journal Article %A Acevedo, Ramiro %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/