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A panel clustering method for 3-D elastostatics using spherical harmonics


Hayami, K; Sauter, S (2000). A panel clustering method for 3-D elastostatics using spherical harmonics. In: Bertram, B; et al. Integral methods in science and engineering (Houghton, MI 1998). Boca Raton, FL: Chapman & Hall/CRC, 179-184.

Abstract

Despite ist advantage of boudary-only discretization, the standard boundary element method (BEM) involves huge computational costs for large-scale 3-D problems due to its dense matrix formulation. The situation is even worse for the 3-D elastostatic problem, where the number of unknowns is three times that of the potential problem. In this paper, we will apply the panel clustering method using multipole expansions in ordr to reduce the computational costs for the 3-D boundary elements analysis of elastostatics.

Abstract

Despite ist advantage of boudary-only discretization, the standard boundary element method (BEM) involves huge computational costs for large-scale 3-D problems due to its dense matrix formulation. The situation is even worse for the 3-D elastostatic problem, where the number of unknowns is three times that of the potential problem. In this paper, we will apply the panel clustering method using multipole expansions in ordr to reduce the computational costs for the 3-D boundary elements analysis of elastostatics.

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Additional indexing

Other titles:Papers from the 5th International Conference (IMSE98) held at Michigan Technological University, Houghton, MI, 1998
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2000
Deposited On:29 Nov 2010 16:27
Last Modified:05 Apr 2016 13:26
Publisher:Chapman & Hall/CRC
Series Name:Chapman & Hall/CRC Research Notes in Mathematics
Number:418
ISBN:1-58488-146-1
Publisher DOI:https://doi.org/10.1201/9781420036039.ch29
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1059.74555

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