Sparse factorization of finite element matrices using overlapped localizing solution modes

J. S. Choi, R. J. Adams, F. X. Canning

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Local-global solution (LOGOS) modes provide a computationally efficient framework for developing fast, direct solution methods for electromagnetic simulations. In this article, we demonstrate that the LOGOS framework yields fast direct solutions for finite element discretizations of the wave equation in two dimensions. For fixed-frequency applications, numerical examples demonstrate that the memory and CPU complexities of the proposed solver are nearly linear.

Original languageEnglish
Pages (from-to)1050-1054
Number of pages5
JournalMicrowave and Optical Technology Letters
Volume50
Issue number4
DOIs
StatePublished - Apr 2008

Keywords

  • Finite element method
  • Localizing
  • Solver
  • Sparse factorization

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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