## Abstract A sparse direct solver for the electric field integral equation is demonstrated for electromagnetic scattering from perfectly conducting targets of fairly large electrical size. For the geometries considered, numerical experiments demonstrate that both the memory and CPU costs of the re
Sparse factorization of finite element matrices using overlapped localizing solution modes
β Scribed by J.-S. Choi; R. J. Adams; F. X. Canning
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 189 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-2477
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β¦ Synopsis
Abstract
Localβglobal 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 fixedβfrequency applications, numerical examples demonstrate that the memory and CPU complexities of the proposed solver are nearly linear. Β© 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 1050β1054, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23298
π SIMILAR VOLUMES
Investigations of scaling and equilibration of general matrices have been traditionally aimed at the effects on the stability and accuracy of LU factorizations-the so-called scaling problem. Notably, Skeel (1979) concludes that no systematic scaling procedure can be concocted for general matrices ex