Schwarz waveform relaxation methods for parabolic equations in space-frequency domain ?
Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.
waveform relaxation parabolic equation frequency domain analysis domain decomposition parallel processing