NDLI: Hierarchical Bases for Nonhierarchic 3-D Triangular Meshes

Content Provider	IEEE Xplore Digital Library
Author	Andriulli, F.P. Vipiana, F. Vecchi, G.
Copyright Year	1963
Abstract	We describe a novel basis of hierarchical, multiscale functions that are linear combinations of standard Rao-Wilton-Glisson (RWG) functions. When the basis is used for discretizing the electric field integral equation (EFIE) for PEC objects it gives rise to a linear system immune from low-frequency breakdown, and well conditioned for dense meshes. The proposed scheme can be applied to any mesh with triangular facets, and therefore it can be used as if it were an algebraic preconditioner. The properties of the new system are confirmed by numerical results that show fast convergence rates of iterative solvers, significantly better than those for the loop-tree basis. As a byproduct of the basis generation, a generalization of the RWG functions to nonsimplex cells is introduced.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	2288
Ending Page	2297
Page Count	10
File Size	1275993
File Format	PDF
ISSN	0018926X
Volume Number	56
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mesh generation Integral equations Moment methods Spatial resolution Conductors Geometry Convergence Frequency selective surfaces Linear systems Electric breakdown wavelets Antennas hierarchical bases method of moments (MoM) multiscale multiresolution (MR) techniques
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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