The FMM-BEM method for the 3D particulate Stokes flow
type: Item
instance of: scholarly article
title: The FMM-BEM method for the 3D particulate Stokes flow
zbMATH Open document ID: 1474.76048
DOI: 10.1155/2014/563603
author: Hassib Selmi
author: Mohamed Abdelwahed
author: Hatem Hamda
author: L. Elasmi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This work introduces new functions based on the spherical harmonics and the solid harmonics which have been used to construct a multipole development for the 3D Stokes problem in order to reduce the operations costs in the BEM method. We show that the major properties of those functions are inherited from the solid harmonics. The contribution of this paper is the introduction of new formulas that serve to calculate the multipole moments and the transfer functions that are necessary for the schemes of order \(O(N \text{log} N)\). Moreover, new translation formulas are introduced to obtain an \(O(N)\) scheme. The error truncation of the resulting scheme is discussed. In comparison to the BEM that attains a limit storage at \(O(1 0^4)\), we present here a method based on FMM-BEM that attains a storage at a limit of \(O(1 0^6)\). The implementation of the method achieves a high accuracy level at a reasonable cost.
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76T20
zbMATH DE Number: 7022614
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/563603
OpenAlex ID: W2038744374
Wikidata QID: Q59039450
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description: scientific article; zbMATH DE number 7022614