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Sparse factorization of finite element matrices using overlapped localizing solution modes
Author(s) -
Choi J.S.,
Adams R. J.,
Canning F. X.
Publication year - 2008
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.23298
Subject(s) - finite element method , solver , factorization , microwave , computational science , computer science , sparse matrix , parallel computing , mathematics , algorithm , electronic engineering , algebra over a field , mathematical optimization , engineering , physics , pure mathematics , structural engineering , telecommunications , quantum mechanics , gaussian
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. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 1050–1054, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23298