1 |
M. Sato, S. Yoshiyoka, K. Tsukui and R. Yuuki, Accurate numerical integration of singular kernels in the two-dimensional boundary element method, in: C.A. Brebbia(ed.), Boundary Elements X, 1 (1988), Springer, Berlin, 279–296.
|
2 |
A. Sidi, A new variable transformation for numerical integration, in: H. Brass and G. Hammerlin(ed.), numerical Integration IV, ISNM Vol. 112, Birkhaiser-Verlag, Berlin, 1993, 359–373.
|
3 |
K. M. Singh and M. Tanaka, On non–linear transformations for accurate numerical evaluation of weakly singular boundary integrals, Internat. J. Numer. Methods Engrg. 50 (2001), 2007–2030.
DOI
ScienceOn
|
4 |
J. C. F. Telles, A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals, Internat. J. Numer. Methods Engrg. 24 (1987), 959–973.
DOI
ScienceOn
|
5 |
B. I. Yun, An efficient transformation with Gauss quadrature rule for weakly singular integrals, Comm. Numer. Methods Eng. 17 (2001), 881–891.
DOI
ScienceOn
|
6 |
B. I. Yun and P. Kim, A new sigmoidal transformation for weakly singular integrals in the boundary element method, SIAM J. Sci. Comput. 24 (2003), 1203–1217.
DOI
ScienceOn
|
7 |
M. Cerrolaza and E. Alarcon, A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary elements, Internat. J. Numer. Methods Engrg. 28 (1989), 987–999.
DOI
ScienceOn
|
8 |
D. Elliott, Sigmoidal transformations and the trapezoidal rule, J. Aust. Math. Soc. Ser. B 40(E) (1998), E77–E137.
|
9 |
M. Doblare and L. Gracia, On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals, Internat. J. Numer. Methods Engrg. 40 (1997), 3325–3358.
DOI
ScienceOn
|
10 |
D. Elliott, The cruciform crack problem and sigmoidal transformations, Math. Methods Appl. Sci. 20 (1997), 121–132.
DOI
ScienceOn
|
11 |
P. R. Johnston, Application of sigmoidal transformations to weakly singular and neer singular boundary element integrals, Internat. J. Numer. Methods Engrg. 45 (1999), 1333–1348.
DOI
ScienceOn
|
12 |
P. R. Johnston, Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals, Internat. J. Numer. Methods Engrg. 47 (2000), 1709–1730.
DOI
ScienceOn
|
13 |
P. R. Johnston and D. Elliott, Error estimation of quadrature rules for evaluating singular integrals in boundary element, Internat. J. Numer. Methods Engrg. 48 (2000), 949–962.
DOI
ScienceOn
|
14 |
N. M. Korobev, Number –Theoretic Method of Approximate Analysis, GIFL, Moscow, 1963.
|
15 |
J. M. Sanz Serna, M. Doblare, and E. Alarcon, Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation, Commun. Appl. Numer. Methods 6 (1990), 121–123.
DOI
|