TY - JOUR
T1 - An Accelerated Waveform Relaxation Approach Based on Model Order Reduction for Large Coupling Systems
AU - Haibao Chen & Yaolin Jiang
JO - Journal of Computational Mathematics
VL - 2
SP - 190
EP - 208
PY - 2013
DA - 2013/04
SN - 31
DO - http://doi.org/10.4208/jcm.1210-m4016
UR - https://global-sci.org/intro/article_detail/jcm/9729.html
KW - Large coupling systems, Waveform relaxation, Model order reduction, Krylov
subspace, Convergence analysis, Accelerating technique.
AB - <p style="text-align: justify;">In this paper, we present an accelerated simulation approach on waveform relaxation using Krylov subspace for a large time-dependent system composed of some subsystems. This approach first allows these subsystems to be decoupled by waveform relaxation. Then the Arnoldi procedure based on Krylov subspace is provided to accelerate the simulation of the decoupled subsystems independently. For the new approach, the convergent conditions on waveform relaxation are derived. The robust behavior is also successfully illustrated via numerical examples.</p>