NDLI: Direct MR Preconditioner for MoM based fast methods

Content Provider	IEEE Xplore Digital Library
Author	Pirinoli, P. Freni, A. De Vita, P. Vipiana, F. Vecchi, G.
Copyright Year	2006
Description	Author affiliation: Dept. of Electron., Politecnico di Torino (Pirinoli, P.)
Abstract	Matrices arising from field problems generally have very wide eigenvalue spectra, and therefore the use of a suitable preconditioner becomes necessary to reduce the total solution time, especially when the mesh is dense, as typical in antenna and circuit problems. In this paper, the preconditioning issue is addressed by having recourse to the multiresolution (MR) scheme that manages to generate "wavelet-like" hierarchical multiscale vector functions for any meshed geometry and well controls the method-of-moments (MoM) condition number, by the simple application of a diagonal preconditioner. The MR functions are expressed in terms of sub-domain functions, therefore their generation leads to the construction of a changing basis matrix T that is very sparse, and therefore it has a low memory occupation and its multiplication for any matrix in the RWG basis is low cost. For this reason, the computational cost required for the construction and the application of the MR preconditioner is very low and smaller than the one needed for the application of other preconditioners
Sponsorship	Motorola Air Force Office of Sci. Res. ANSOFT
Starting Page	4015
Ending Page	4018
File Size	230879
Page Count	4
File Format	PDF
ISBN	1424401232
DOI	10.1109/APS.2006.1711507
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Message-oriented middleware Sparse matrices Symmetric matrices Linear systems Eigenvalues and eigenfunctions Large-scale systems Telecommunication computing Filling Costs Iterative methods
Content Type	Text
Resource Type	Article

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