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A kind of Two-step Preconditioning Technique for Hierarchical Time-Domain Finite-Element method
Ye Zhengbao 1 * #,Y. Yang 2
1.Department of Communication Engineering，Nanjing University of Science and Technology, Nanjing
2.Department of Electronic Engineering Nanjing University of Aeronautics and Astronautics
*Correspondence author
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Funding: none
Opened online:28 December 2007
Accepted by: none
Citation: Ye Zhengbao ,Y. Yang.A kind of Two-step Preconditioning Technique for Hierarchical Time-Domain Finite-Element method[OL]. [28 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17534
 
 
The two-step SAI-SSOR_CG method is applied in this paper to solve the large system of linear equations resulted from the hierarchical implicit TDFEM method. Convergence properties of this two-step SAI-SSOR_CG method are compared with other preconditioned CG algorithms, including SAI_CG and SSOR_CG. Numerical results demonstrate that the two-step SAI-SSOR_CG method performances the best. Also the reversing Cuthill-McKee (RCM) ordering method is used to reorder the sparse matrices created by the hierarchical implicit TDFEM scheme. And the RCM ordering method makes SAI-SSOR-CG method more efficient.
Keywords:preconditioned CG algorithms, hierarchical implicit TDFEM method, convergence properties, reversing Cuthill-McKee (RCM) ordering
 
 
 

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