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Cost estimation of the panel clustering method applied to 3-D elastostatics


Hayami, K; Sauter, S (1998). Cost estimation of the panel clustering method applied to 3-D elastostatics. In: Brebbia, C A. Boundary element research in Europe (Southampton, 1998). Southampton: Computational Mechanics Publications, 33-42.

Abstract

We present an efficient algorithm for the panel clustering method for the three-dimensional elastostatic problem, which reduces the memory and computational work for the boundary element method. In order to make the necessary polynomial expansions for the clustering simple, the fundamental solutions for the displacement components are expressed as a linear combination of partial derivatives of the distance between the observation point and the field point. It is shown that this approach is more efficient than the standard expression by comparing the estimates for the computational work.

Abstract

We present an efficient algorithm for the panel clustering method for the three-dimensional elastostatic problem, which reduces the memory and computational work for the boundary element method. In order to make the necessary polynomial expansions for the clustering simple, the fundamental solutions for the displacement components are expressed as a linear combination of partial derivatives of the distance between the observation point and the field point. It is shown that this approach is more efficient than the standard expression by comparing the estimates for the computational work.

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Additional indexing

Other titles:Papers from the European Boundary Element Symposium (EUROBEM '98) held in Southampton, May 19–21, 1998
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:polynomial expansions; fundamental solution; displacement components
Language:English
Date:1998
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:26
Publisher:Computational Mechanics Publications
ISBN:1-85312-594-6

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