A Multilevel Method for Conductive-Radiative Heat Transfer

Authors: J.M. Banoczi and C.T. Kelley
Speaker: C.T. Kelley

We present a fast multilevel algorithm for the solution of the system of
nonlinear integro-differential equations that model
steady-state combined radiative-conductive heat transfer. The equations
can be formulated as a compact fixed point problem that requires both
a solution of the linear transport equation and the linear heat equation
for its evaluation. We use fast transport solvers developed by the
second author to construct an efficient evaluation of the fixed point
map and then apply the Atkinson-Brakhage method, with Newton-GMRES as 
the coarse mesh solver, to the full nonlinear system.