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论文类型：期刊论文

发表时间：2015-01-01

发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录刊物：SCIE、EI、ESI高被引论文

卷号：50

页面范围：265-274

ISSN号：0955-7997

关键字：Boundary element method; Super singular integral; Projection plane; Power series expansion; Radial Integration Method (Rim)

摘要：In this paper, an efficient method for numerical evaluation of all kinds of singular curved boundary integrals from 2D/3D BEM analysis is proposed based on an operation technique on a projection line/plane. Firstly, geometry variables on a curved line/surface element are expressed in terms of parameters on the projection line/plane, and then all singularities are analytically removed by expressing the non-singular part of the integration kernel as a power series in a local distance defined on the projection line/plane. Also, a set of crucial relationships computing derivatives of intrinsic coordinates with respect to local orthogonal coordinates is derived. A few examples are provided to demonstrate the correctness and the stability of the proposed method. (C) 2014 Elsevier Ltd. All rights reserved.