Multiple reciprocity singular boundary method for 3D inhomogeneous problems

作者: Xing Wei , Ai Huang , Linlin Sun , Bin Chen

DOI: 10.1016/J.ENGANABOUND.2020.04.015

关键词:

摘要: In this study, the singular boundary method (SBM) is extended to solve 3D inhomogeneous elliptic boundary value problems. Before applying the SBM, the multiple reciprocity method …

参考文章(41)
Graeme Fairweather, Andreas Karageorghis, The method of fundamental solutions for elliptic boundary value problems Advances in Computational Mathematics. ,vol. 9, pp. 69- 95 ,(1998) , 10.1023/A:1018981221740
Wenzhen Qu, Wen Chen, Yan Gu, Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime Computers & Mathematics With Applications. ,vol. 70, pp. 679- 690 ,(2015) , 10.1016/J.CAMWA.2015.05.017
Yan Gu, Wen Chen, Xiao-Qiao He, Singular boundary method for steady-state heat conduction in three dimensional general anisotropic media International Journal of Heat and Mass Transfer. ,vol. 55, pp. 4837- 4848 ,(2012) , 10.1016/J.IJHEATMASSTRANSFER.2012.04.054
Carlos J.S. Alves, On the choice of source points in the method of fundamental solutions Engineering Analysis with Boundary Elements. ,vol. 33, pp. 1348- 1361 ,(2009) , 10.1016/J.ENGANABOUND.2009.05.007
A. Karageorghis, D. Lesnic, L. Marin, A survey of applications of the MFS to inverse problems Inverse Problems in Science and Engineering. ,vol. 19, pp. 309- 336 ,(2011) , 10.1080/17415977.2011.551830
Xiao-Wei Gao, The radial integration method for evaluation of domain integrals with boundary-only discretization Engineering Analysis With Boundary Elements. ,vol. 26, pp. 905- 916 ,(2002) , 10.1016/S0955-7997(02)00039-5
Xing Wei, Wen Chen, Bin Chen, Linlin Sun, None, Singular boundary method for heat conduction problems with certain spatially varying conductivity Computers & Mathematics With Applications. ,vol. 69, pp. 206- 222 ,(2015) , 10.1016/J.CAMWA.2014.12.005
Ching-Shyang Chen, Chia-Ming Fan, PH Wen, The method of approximate particular solutions for solving certain partial differential equations Numerical Methods for Partial Differential Equations. ,vol. 28, pp. 506- 522 ,(2012) , 10.1002/NUM.20631
A.H.-D. Cheng, C.S. Chen, M.A. Golberg, Y.F. Rashed, BEM for theomoelasticity and elasticity with body force : a revisit Engineering Analysis With Boundary Elements. ,vol. 25, pp. 377- 387 ,(2001) , 10.1016/S0955-7997(01)00032-7