Please use this identifier to cite or link to this item:
Title: A note on true desingularisation of boundary integral methods for three-dimensional potential problems
Authors: Klaseboer, E.
Fernandez, C.R.
Khoo, B.C. 
Keywords: 4π rule
Diagonal terms of the influence matrices
Non-singular three-dimensional boundary integral method
Potential problem
Issue Date: Jun-2009
Source: Klaseboer, E., Fernandez, C.R., Khoo, B.C. (2009-06). A note on true desingularisation of boundary integral methods for three-dimensional potential problems. Engineering Analysis with Boundary Elements 33 (6) : 796-801. ScholarBank@NUS Repository.
Abstract: A desingularized boundary element formulation for the three-dimensional potential problem will be presented. It is based on integral identities for the fundamental solution. The shown approach has the advantage that the singular terms on both influence matrices can be directly calculated by replacing it with a special summation of the other off-diagonal elements. It is an extension of the so-called 4π rule in which the strongest singularity is removed by replacing the terms of one of the influence matrices by 4π minus the sum of the off-diagonal terms of the same row. It is shown here that a similar method can also be applied to the weakest singularity, thereby completely desingularizing the method. Both integral equations and their corresponding matrix-vector notation will be presented. © 2008 Elsevier Ltd. All rights reserved.
Source Title: Engineering Analysis with Boundary Elements
ISSN: 09557997
DOI: 10.1016/j.enganabound.2008.12.002
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Mar 7, 2018


checked on Mar 7, 2018

Page view(s)

checked on Feb 25, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.