Robust preconditioning techniques for electromagnetic wave scattering problems

Jun Zhang, Jeonghwa Lee, Cai Cheng Lu

Research output: Contribution to conferencePaperpeer-review

Abstract

We investigate preconditioned iterative solutions of large dense complex valued matrices arising from discretizing the integral equation of electromagnetic scattering. The main purpose of this study is to evaluate the efficiency of preconditioning techniques based on incomplete LU (ILU) factorization and sparse approximate inverse (SAI) for solving this class of dense matrices. We solve the electromagnetic wave equations using the BiCG method with the preconditioners in the context of a multilevel fast multipole algorithm (MLFMA). The novelty of this work is that the preconditioners are constructed using the near part block diagonal submatrix generated from the MLFMA. Experimental results show that the ILU and SAI preconditioners reduce the number of BiCG iterations substantially.

Original languageEnglish
Pages347-350
Number of pages4
StatePublished - 2003
Event19th Annual Review of Progress in Applied Computational Electromagnetics - Monterey, CA, United States
Duration: Mar 24 2003Mar 28 2003

Conference

Conference19th Annual Review of Progress in Applied Computational Electromagnetics
Country/TerritoryUnited States
CityMonterey, CA
Period3/24/033/28/03

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'Robust preconditioning techniques for electromagnetic wave scattering problems'. Together they form a unique fingerprint.

Cite this