Inmost singularities and appropriate quadrature rules in the boundary element method

被引：0

作者：

Theotokoglou, E. E. ^{[1
]}

Tsamasphyros, G. ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Fac Sci Appl, Dept Mech, Lab Strength Mat, Athens, Greece

来源：

BOUNDARY ELEMENTS AND OTHER MESH REDUCTION METHODS XXIX | 2007年 / 44卷

关键词：

singular integral equation; singularities; nearby poles; elasticity; quadrature formula; numerical integration; boundary element method;

D O I：

10.2495/BE070141

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The solution of singular integral equations (SIEs), taking into consideration the particular behaviour of its regular kernel and its right hand side function, is investigated in this paper. In particular, the problems appearing in the solution of singular integral equations in the boundary element method are verified. It is shown that the behaviour of singular integral equations does not depend only on the behaviour of the regular kernel but on the behaviour of the unknown function.

引用

页码：141 / +

页数：2

共 50 条

[1] An appropriate quadrature rule for the analysis of plane crack problems in the boundary-element method
Theotokoglou, EE
Tsamasphyros, G
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2001, 17 (10): : 691 - 699
[2] Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
Mousavi, S. E.
Sukumar, N.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (49-52) : 3237 - 3249
[3] Analytical evaluation and application of the singularities in boundary element method
Wang, J
Tsay, TK
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (03) : 241 - 256
[4] A boundary element method for potential fields with corner singularities
Igarashi, H
Honma, T
APPLIED MATHEMATICAL MODELLING, 1996, 20 (11) : 847 - 852
[5] Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
Johnston, PR
Elliott, D
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2000, 48 (07) : 949 - 962
[6] Treatment of singularities in time-dependent problems using the boundary element method
Lesnic, D
Elliott, L
Ingham, DB
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1995, 16 (01) : 65 - 70
[7] A NOTE ON THE POLYNOMIAL APPROXIMATION OF VERTEX SINGULARITIES IN THE BOUNDARY ELEMENT METHOD IN THREE DIMENSIONS
Bespalov, Alexei
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2009, 21 (03) : 359 - 380
[8] Runge-Kutta convolution quadrature for the Boundary Element Method
Banjai, Lehel
Messner, Matthias
Schanz, Martin
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 245 : 90 - 101
[9] Convolution quadrature Galerkin boundary element method for the wave equation with reduced quadrature weight computation
Chappell, David J.
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 31 (02) : 640 - 666
[10] Weighted quadrature rules for finite element methods
Oliveira, Saulo P.
Madureira, Alexandre L.
Valentin, Frederic
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 227 (01) : 93 - 101

← 1 2 3 4 5 →