期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 33, 期 6, 页码 796-801出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2008.12.002
关键词
Non-singular three-dimensional boundary integral method; Potential problem; 4 pi rule; Diagonal terms of the influence matrices
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 4 pi rule in which the strongest singularity is removed by replacing the terms of one of the influence matrices by 4 pi 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. (C) 2008 Elsevier Ltd. All rights reserved.
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