Palestrante: Jean R. Roche
IECL, University of Lorraine
B.P. 70239, F-54506, Vandoeuvre les Nancy, France
DATA: 31/10/2014 (sexta-feira)
LOCAL: Bloco G, Sala 219B, Centro de Tecnologia, Ilha do Fundão.
Fusion has the potential to play an important role as part of a future energy mix for our planet. It has the capacity to produce energy on a large scale, using plentiful fuels and releasing no carbon dioxide or other greenhouse gases.
The experimental machine is based on the 'tokamak' concept of magnetic confinement, in which the plasma is contained in a doughnut-shaped vacuum vessel.
We present a non-overlapping domain decomposition method to compute an approximate solution of a time harmonic Maxwell equation in an arbitrary cross section of a tokamak. This equation arises in the full wave model of propagation of lower hybrid electromagnetic waves in cold plasma. For simulation purpose a mixed augmented variational formulation is considered. A non-overlapping domain decomposition method is presented in order to handle large size problems. Details about interface condition are provided and a mixed method to handle this interface conditions is presented. The discretization of the mixed augmented variational formulation on each sub domain is carried out using Taylor-Hood $ P_2-iso-P_1$ finite element. We give some indications about the computation of the entries of the stiffness matrix and how to solve the linear system. Several examples are presented for different wave frequencies.