Volume 31, Issue 2
An Accelerated Waveform Relaxation Approach Based on Model Order Reduction for Large Coupling Systems

Haibao Chen & Yaolin Jiang

J. Comp. Math., 31 (2013), pp. 190-208.

Published online: 2013-04

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  • 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.

  • Keywords

Large coupling systems Waveform relaxation Model order reduction Krylov subspace Convergence analysis Accelerating technique

  • AMS Subject Headings

78M34 65Pxx.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-31-190, author = {Haibao Chen and Yaolin Jiang}, title = {An Accelerated Waveform Relaxation Approach Based on Model Order Reduction for Large Coupling Systems}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1210-m4016}, url = {http://global-sci.org/intro/article_detail/jcm/9729.html} }
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 KW - Waveform relaxation KW - Model order reduction KW - Krylov subspace KW - Convergence analysis KW - Accelerating technique AB -

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.

Haibao Chen & Yaolin Jiang. (1970). An Accelerated Waveform Relaxation Approach Based on Model Order Reduction for Large Coupling Systems. Journal of Computational Mathematics. 31 (2). 190-208. doi:10.4208/jcm.1210-m4016
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