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

[41] Stress analysis with arbitrary body force by boundary element method [J].

Ochiai, Y ;

Nisitani, H ;

Sekiya, T .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1996, 17 (04) :295-302

[42] Variable transformations for nearly singular integrals in the boundary element method [J].

Hayami, K .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2005, 41 (04) :821-842

[43] The quasigeoid modelling in New Zealand using the boundary element method [J].

Cunderlilk, Robert ;

Tenzer, Robert ;

Abdalla, Ahmed ;

Mikula, Karol .

CONTRIBUTIONS TO GEOPHYSICS AND GEODESY, 2010, 40 (04) :283-297

[44] The Boundary Element Method with Lagrangian Multipliers [J].

Gatica, Gabriel N. ;

Healey, Martin ;

Heuer, Norbert .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (06) :1303-1319

[45] Boundary element method for micropolar thermoelasticity [J].

Huang, FY ;

Liang, KZ .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1996, 17 (01) :19-26

[46] The Boundary Element Method in Acoustics: A Survey [J].

Kirkup, Stephen .

APPLIED SCIENCES-BASEL, 2019, 9 (08)

[47] BOUNDARY ELEMENT METHOD MODELLING OF NANOCOMPOSITES [J].

Ptaszny, Jacek ;

Dziatkiewicz, Grzegorz ;

Fedelinski, Piotr .

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, 2014, 12 (01) :33-43

[48] Introducing the boundary element method with MATLAB [J].

Ang, Keng-Cheng .

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2008, 39 (04) :505-519

[49] Boundary Element Method for the Helmholtz Equation [J].

Mesforush, A. ;

Mehraban, Z. .

JOURNAL OF MATHEMATICAL EXTENSION, 2015, 9 (04) :65-79

[50] STOCHASTIC BOUNDARY ELEMENT METHOD IN ELASTICITY [J].

任永坚 ;

江爱民 ;

丁皓江 .

Acta Mechanica Sinica, 1993, (04) :320-328

← 1 2 3 4 5 →