Abstract
In this paper we propose a method for solving the electro-magnetostatics problem and the eddy current problem in terms of suitable potentials. A new variational formulation is devised, in which standard results of potential theory are used to reduce the problem in the external domain to an integral equation on the boundary of a computational domain containing the conductor. The existence and uniqueness of the solution is proved, by showing that the associated sesquilinear form is coercive. A numerical approximation scheme, based on nodal finite elements in the computational domain and boundary elements on its boundary, is devised and proved to be convergent. It is also shown that the solution of the time-harmonic eddy current problem tends to the solution of the electro-magnetostatics problem as the frequency tends to 0. The same convergence holds, uniformly with respect to the mesh size, for the finite element solutions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
