A new method to generate an almost-diagonal matrix in the boundary integral equation formulation

Chandrasekhar, B and Rao, Sadasiva M (2008) A new method to generate an almost-diagonal matrix in the boundary integral equation formulation. In: Journal Of The Acoustical Society Of America, 124 (6). pp. 3390-3396.

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Abstract

In this work, a new numerical procedure is developed to generate an almost-diagonal matrix for the solution of boundary integral equation formulation dealing with acoustic scattering problems. The major drawback of the traditional boundary integral equation procedure resulting in a dense system matrix is eliminated in this new procedure by grouping the basis functions into a cluster. The geometry of the structure is modeled by planar triangles and the basis functions are defined on the nodes. By doing so, one can get a benefit of a smaller size matrix to begin with. Furthermore, by grouping these node-based basis functions into a cluster, an almost-diagonal matrix is generated. Thus, the solution procedure developed in this work may be utilized for very large scattering problems since the required computer resources are very low. The solution procedure developed in this work is validated for the scattering cross section of the simple shapes with the closed form solutions wherever available and with the other numerical solution procedures.

Item Type:	Journal Article
Publication:	Journal Of The Acoustical Society Of America
Publisher:	Acoustical Society of America
Additional Information:	Copyright of this article belongs to Acoustical Society of America.
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	30 Oct 2009 10:48
Last Modified:	19 Sep 2010 05:27
URI:	http://eprints.iisc.ac.in/id/eprint/19178

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