Error analysis for matrix factorizations using non-overlapped localizing basis functions

Xin Xu, Yuan Xu, Robert J. Adams

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Local-global solution (LOGOS) modes provide a computationally efficient framework for developing error controllable, fast, direct solution methods for electromagnetic simulations. This communication provides an error control analysis for the non-overlapped localizing LOGOS factorization procedure. The error analysis indicates how to control the error in the factored representation of the system matrix. Numerical examples demonstrate that the proposed error control procedure provides factorizations with controllably small errors for a number of PEC scattering problems while maintaining the efficiency of the LOGOS factorization.

Original languageEnglish
Article number5484710
Pages (from-to)3081-3086
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Issue number9
StatePublished - Sep 2010

Bibliographical note

Funding Information:
Manuscript received January 20, 2009; revised January 28, 2010; accepted February 24, 2010. Date of publication June 14, 2010; date of current version September 03, 2010. This work was supported in part by the Office of Naval Research (N00014-04-1-0485) and in part by the National Science Foundation (ECS-0547497).


  • Electromagnetic scattering
  • error analysis
  • fast solvers

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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