Hybrid h- and p-type multiplicative schwarz (h-p-MUS) preconditioned algorithm of higher-order FE-BI-MLFMA for 3D scattering

Ming Lin Yang, Xin Qing Sheng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

A hybrid h- and p-Type multiplicative Schwarz (h-p-MUS) preconditioned algorithm is proposed to improve efficiency of higher-order finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) for 3D scattering in this paper. An h-p-MUS precondtioner is first constructed for the FEM matrix obtained by using vector higher-order hierarchical basis functions. Numerical experiments show that this preconditioner can offer a better efficiency both in CPU time and memory requirement than the h-MUS and the p-MUS preconditioners. Then this h-p-MUS preconditioner for the FEM matrix is applied to different algorithms of FE-BI-MLMFA. Analysis and Numerical results show that the h-p-MUS preconditioned conventional algorithm (h-p-MUS-CA) has a better efficiency over other h-p-MUS preconditioned algorithms. A variety of numerical experiments are performed for large objects in this paper, demonstrating that this h-p-MUS-CA exhibits superior efficiency in the CPU time and memory, and greatly improves the capability of the higher-order FE-BI-MLFMA.

Original languageEnglish
Article number6136777
Pages (from-to)187-190
Number of pages4
JournalIEEE Transactions on Magnetics
Volume48
Issue number2
DOIs
Publication statusPublished - Feb 2012

Keywords

  • FE-BI-MLFMA
  • MIB-ILU
  • hierarchical higher-order
  • p-MUS preconditioner

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