M. Clemens et al., Numerical simulation of coupled transient thermal and electromagnetic fields with the finite integration method, IEEE MAGNET, 36(4), 2000, pp. 1448-1452
A consistent iterative method for the simultaneous discretization of Maxwel
l's equations and of the heat conduction equation in weakly coupled systems
is presented. The algorithm is an implementation of the Finite Integration
Method combined with both explicit and implicit FDTD schemes for the trans
ient analysis. The validity of the method is demonstrated in the simple exa
mple of a lossy dielectric cylinder subject to microwave and radiant heatin
g in a microwave cavity. In a second example, the implications of nonlinear
coupling on the transient field solutions are discussed.