aDepartment of Mathematical Sciences, School of Science, Xi’an Jiaotong University, Xi’an 710049, China
Abstract:
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.