An Accelerated Waveform Relaxation Approach Based on Model Order Reduction for Large Coupling Systems
Year: 2013
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 190–208
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1210-m4016
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 190–208
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Large coupling systems Waveform relaxation Model order reduction Krylov subspace Convergence analysis Accelerating technique.