Jessika Camaño, Rodolfo Rodríguez:
Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem
The three-dimensional eddy current time-dependent problem is considered. We formulate it in terms of new variables lying only on the conducting domain and on its boundary. We combine finite elements (FEM) and boundary elements (BEM), to obtain a FEM-BEM coupled variational formulation. We prove existence and uniqueness of the solution in the continuous and the fully discrete case. Finally, we investigate the convergence order of the fully discrete scheme.
This preprint gave rise to the following definitive publication(s):
Jessika CAMAñO, Rodolfo RODRíGUEZ: Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem. Journal of Computational and Applied Mathematics, vol. 236, 13, pp. 3084-3100, (2012).