Space-time Formulation for Finite-Element Modeling of Superconductors

F. Grilli[1], F. Sirois[1], M. Laforest[1], and S. Ashworth[2]

[1]Ecole Polytechnique de Montréal, Montréal, QC, Canada
[2]Los Alamos National Laboratory, Los Alamos, NM, USA
Published in 2008

In this paper we present a new model for computing the current density and field distributions in superconductors by means of a periodic space-time formulation for finite elements (FE). By considering a space dimension as time, we can use a static model to solve a time dependent problem. This allows overcoming one of the major problems of FE modeling of superconductors: the length of simulations, even for relatively simple cases. We present our first results and compare them to those obtained with a ‘standard’ time-dependent method and with analytical solutions.