Chang, Y. P., Kang, C. S. and Chen, D. J., “The use of fundamental green's functions for the solution of problems of heat conduction in anisotropic media,” International Journal of Heat and Mass Transfer, 16, pp. 1905–1918 (1973).
Mera, N. S., Elliott, L., Ingham, D. B. and Lesnic, D., “The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium,” International Journal for Numerical Methods in Engineering, 49, pp. 481–499 (2000).
Mera, N. S., Elliott, L., Ingham, D. B. and Lesnic, D., “A comparison of boundary element method formulations for steady state anisotropic heat conduction problems,” Engineering Analysis with Boundary Elements, 25, pp. 115–128 (2001).
Mera, N. S., Elliott, L., Ingham, D. B. and Lesnic, D., “A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction,” International Journal of Numerical Methods for Heat & Fluid Flow, 13, pp. 528–546 (2003).
Gao, X. W., “Source point isolation boundary element method for solving general anisotropic potential and elastic problems with varying material properties,” Engineering Analysis with Boundary Elements, 34, pp. 1049–1057 (2010).
Zhang, Y. M., Liu, Z. Y., Chen, J. T. and Gu, Y., “A novel boundary element approach for solving the anisotropic potential problems,” Engineering Analysis with Boundary Elements, 35, pp. 1181–1189 (2011).
Shiah, Y. C. and Tan, C. L., “BEM treatment of two-dimensional anisotropic field problems by direct domain mapping, ” Engineering Analysis with Boundary Elements, 20, pp. 347–351 (1997).
Shiah, Y. C. and Tan, C. L., “BEM treatment of three-dimensional anisotropic field problems by direct domain mapping,” Engineering Analysis with Boundary Elements, 28, pp. 43–52 (2004).
Shiah, Y. C., Yang, R. B. and Hwang, P. W., “Heat conduction in dissimilar anisotropic media with bonding defects/interface cracks,” Journal of Mechanics, 21, pp. 15–23 (2005).
Shiah, Y. C. and Shi, Y. X., “Anisotropic heat conduction across an interface crack/defect filled with a thin interstitial medium,” Engineering Analysis with Boundary Elements, 30, pp. 325–337 (2006).
Shiah, Y. C., Lee, Y. M. and Wang, C. C., “BEM analysis of 3D heat conduction in 3D thin anisotropic media,” CMC: Computers, Materials & Continua, 33, pp. 229–255 (2013).
Rafiezadeh, K. and Ataie-Ashtiani, B., “Seepage analysis in multi-domain general anisotropic media by three-dimensional boundary elements,” Engineering Analysis with Boundary Elements, 37, pp. 527–541 (2013).
Lutz, E., Gray, L. J. and Ingraffea, A. R., “An overview of integration methods for hypersingular boundary integrals”. Boundary Elements XIII, Springer, the Netherlands, pp. 913–925 (1991).
Tanaka, M., Sladek, V. and Sladek, J., “Regularization techniques applied to BEM,” Applied Mechanics Reviews, 47, pp. 457–499 (1994).
Sladek, V. and Sladek, J., Singular Integrals in Boundary Element Methods, CMP, Southampton (1998).
Sladek, V. and Sladek, J., “Introductory Notes on Singular Integrals,” Singular Integrals in Boundary Element Methods, chapter 1, CMP, Southampton (1998).
Gray, L. J., Martha, L. F. and Ingraffea, A. R., “Hypersingular integrals in boundary element fracture analysis,” International Journal for Numerical Methods in Engineering, 29, pp. 1135–1158 (1990).
Guiggiani, M. and Gigante, A., “A general algorithm for multidimensional Cauchy principal value integrals in the boundary element method,” Journal of Applied Mechanics, 57, pp. 906–915 (1990).
Guiggiani, M., Krishnasamy, G., Rudolphi, T. J. and Rizzo, F. J., “A general algorithm for the numerical solution of hypersingular boundary integral equations,” Journal of Applied Mechanics, 59, pp. 604–614 (1992).
Tomioka, S. and Nishiyama, S., “Analytical regularization of hypersingular integral for helmholtz equation in boundary element method,” Engineering Analysis with Boundary Elements, 34, pp. 393–404 (2010).
Aimi, A., Diligenti, M. and Guardasoni, C., “Numerical integration schemes for space–time hypersingular integrals in energetic Galerkin BEM,” Numerical Algorithms, 55, pp. 145–170 (2010).
Erath, C., Funken, S., Goldenits, P. and Praetorius, D., “Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D,” Applicable Analysis, 92, pp. 1194–1216 (2013).
Chen, J. T., On Hadamard principal value and boundary integral formulation of fracture mechanics, Master thesis, Institute of Applied Mechanics, National Taiwan University, Taipie, Taiwan (1986).
Hong, H. K. and Chen, J. T., “Derivation of integral equations in elasticity,” Journal of Engineering Mechanics, 114, pp. 1028–1044 (1988).
Chen, J. T. and Hong, H. K., “Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series,” Applied Mechanics Reviews, 52, pp. 17–33 (1999).
Chen, J. T., Huang, W. S., Fan, Y. and Kao, S. K., “Revisit of the Dual BEM using SVD updating technique,” Journal of Mechanics, 31, pp. 505–514 (2015).
Chen, J. T., Huang, W. S., Lee, J. W. and Hong, H. K., “On the free terms of the dual BIE for N-dimensional Laplace problems,” Engineering Analysis with Boundary Elements, 59, pp. 123–128 (2015).
Yu, D. H., Mathematical Theory of Natural Boundary Element Method, Science Press, Beijing (1993).
Yu, D. H., “The Natural Boundary Integral Method and Its Applications,” Kluwer Academic Publishers, Dordrecht (2002).
Yu, D. H. and Jia, Z. P., “Natural integral operator on elliptic boundary and the coupling method for an anisotropic problem,” Mathematica Numerica Sinica-Chinese Edition, 24, pp. 375–384 (2002).
Niu, Z. R. and Zhou, H. L., “The natural boundary integral equation in potential problems and regularization of the hypersingular integral,” Computers & Structures, 82, pp. 315–323 (2004).
Zhou, H. L., Tian, Y., Yu, B. and Niu, Z. R., “The natural boundary integral equation of the orthotropic potential problem,” Engineering Analysis with Boundary Elements, 62, pp. 186–192 (2016).
Zhou, H. L., Niu, Z. R., Cheng, C. Z. and Guan, Z. W., “Analytical integral algorithm applied to boundary layer effect and thin body effect in BEM for anisotropic potential problems,” Computers & Structures, 86, pp. 1656–1671 (2008).