The radial integration method for evaluation of domain integrals with boundary-only discretization

作者: Xiao-Wei Gao

DOI: 10.1016/S0955-7997(02)00039-5

关键词: Order of integration (calculus)Volume integralFictitious domain methodDomain (mathematical analysis)Trigonometric integralMathematical analysisSlater integralsDarboux integralMathematicsBoundary element method

摘要: … radial integral for every field point Q. This is very easy to perform since Eq. (11) is a single … this paper, application to potential and other kernel function problems is straightforward. As for …

参考文章(29)
Frank J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics Quarterly of Applied Mathematics. ,vol. 25, pp. 83- 95 ,(1967) , 10.1090/QAM/99907
Carlos Alberto Brebbia, The Boundary Element Method for Engineers ,(1978)
L. C. Wrobel, P. W. Partridge, Carlos Alberto Brebbia, The dual reciprocity boundary element method ,(1991)
P. H. Wen, M. H. Aliabadi, D. P. Rooke, A new method for transformation of domain integrals to boundary integrals in boundary element method Communications in Numerical Methods in Engineering. ,vol. 14, pp. 1055- 1065 ,(1998) , 10.1002/(SICI)1099-0887(199811)14:11<1055::AID-CNM209>3.0.CO;2-6
Songping Zhu, Yinglong Zhang, None, Improvement on dual reciprocity boundary element method for equations with convective terms Communications in Numerical Methods in Engineering. ,vol. 10, pp. 361- 371 ,(1994) , 10.1002/CNM.1640100502
Yoshihiro Ochiai, Tadashi Kobayashi, Initial stress formulation for elastoplastic analysis by improved multiple-reciprocity boundary element method Engineering Analysis With Boundary Elements. ,vol. 23, pp. 167- 173 ,(1999) , 10.1016/S0955-7997(98)00066-6
C L Tan, Boundary integral equation stress analysis of a rotating disc with a corner crack Journal of Strain Analysis for Engineering Design. ,vol. 18, pp. 231- 237 ,(1983) , 10.1243/03093247V184231