TY - JOUR
TI - Schwarz waveform relaxation algorithm for heat equations with distributed delay
AU - Wu Shu-Lin
JN - Thermal Science
PY - 2016
VL - 20
IS - 13
SP - 659
EP - 667
PT - Article
AB - Heat equations with distributed delay are a class of mathematic models that  has wide applications in many fields. Numerical computation plays an  important role in the investigation of these equations, because the analytic  solutions of partial differential equations with time delay are usually  unavailable. On the other hand, duo to the delay property, numerical  computation of these equations is time-consuming. To reduce the computation  time, we analyze in this paper the Schwarz waveform relaxation algorithm with  Robin transmission conditions. The Robin transmission conditions contain a  free parameter, which has a significant effect on the convergence rate of the  Schwarz waveform relaxation algorithm. Determining the Robin parameter is  therefore one of the top-priority matters for the study of the Schwarz  waveform relaxation algorithm. We provide new formula to fix the Robin  parameter and we show numerically that the new Robin parameter is more  efficient than the one proposed previously in the literature.