Chin, Eric B.; Sukumar, N. Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries. (English) Zbl 1506.65047 Comput. Methods Appl. Mech. Eng. 380, Article ID 113796, 40 p. (2021). MSC: 65D30 PDFBibTeX XMLCite \textit{E. B. Chin} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 380, Article ID 113796, 40 p. (2021; Zbl 1506.65047) Full Text: DOI arXiv
Wei, Qi; Xiang, Jiawei B-spline wavelet boundary element method for three-dimensional problems. (English) Zbl 1486.74133 Acta Mech. 232, No. 8, 3233-3257 (2021). MSC: 74S15 74B05 65D07 PDFBibTeX XMLCite \textit{Q. Wei} and \textit{J. Xiang}, Acta Mech. 232, No. 8, 3233--3257 (2021; Zbl 1486.74133) Full Text: DOI
Lv, Jia-He; Jiao, Yu-Yong; Rabczuk, Timon; Zhuang, Xiao-Ying; Feng, Xia-Ting; Tan, Fei A general algorithm for numerical integration of three-dimensional crack singularities in PU-based numerical methods. (English) Zbl 1436.74082 Comput. Methods Appl. Mech. Eng. 363, Article ID 112908, 33 p. (2020). MSC: 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{J.-H. Lv} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112908, 33 p. (2020; Zbl 1436.74082) Full Text: DOI
Tan, Fei; Lv, Jia-he; Jiao, Yu-yong; Liang, Jia-wei; Zhou, Shu-wei Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM. (English) Zbl 1464.65247 Eng. Anal. Bound. Elem. 104, 63-70 (2019). MSC: 65N38 PDFBibTeX XMLCite \textit{F. Tan} et al., Eng. Anal. Bound. Elem. 104, 63--70 (2019; Zbl 1464.65247) Full Text: DOI
Lv, Jia-He; Jiao, Yu-Yong; Wriggers, Peter; Rabczuk, Timon; Feng, Xia-Ting; Tan, Fei Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy. (English) Zbl 1440.74424 Comput. Methods Appl. Mech. Eng. 340, 559-576 (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{J.-H. Lv} et al., Comput. Methods Appl. Mech. Eng. 340, 559--576 (2018; Zbl 1440.74424) Full Text: DOI
Gu, Yan; He, Xiaoqiao; Chen, Wen; Zhang, Chuanzeng Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method. (English) Zbl 1416.80006 Comput. Math. Appl. 75, No. 1, 33-44 (2018). MSC: 80M15 65N38 PDFBibTeX XMLCite \textit{Y. Gu} et al., Comput. Math. Appl. 75, No. 1, 33--44 (2018; Zbl 1416.80006) Full Text: DOI
Gu, Yan; Gao, Hongwei; Chen, Wen; Wang, Huijuan; Zhang, Chuanzeng A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis. (English) Zbl 1398.65325 Comput. Mech. 59, No. 5, 779-793 (2017). MSC: 65N38 74S15 65D32 41A55 65R20 PDFBibTeX XMLCite \textit{Y. Gu} et al., Comput. Mech. 59, No. 5, 779--793 (2017; Zbl 1398.65325) Full Text: DOI
Cano, Alfredo; Moreno, Carlos Transformation methods for the numerical integration of three-dimensional singular functions. (English) Zbl 1384.65083 J. Sci. Comput. 71, No. 2, 571-593 (2017). MSC: 65N30 65N38 35J25 PDFBibTeX XMLCite \textit{A. Cano} and \textit{C. Moreno}, J. Sci. Comput. 71, No. 2, 571--593 (2017; Zbl 1384.65083) Full Text: DOI
Gu, Yan; Gao, Hongwei; Chen, Wen; Zhang, Chuanzeng A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis. (English) Zbl 1439.65209 Comput. Methods Appl. Mech. Eng. 308, 483-498 (2016). MSC: 65N38 65D30 PDFBibTeX XMLCite \textit{Y. Gu} et al., Comput. Methods Appl. Mech. Eng. 308, 483--498 (2016; Zbl 1439.65209) Full Text: DOI
Ventura, G.; Benvenuti, E. Equivalent polynomials for quadrature in Heaviside function enriched elements. (English) Zbl 1352.65559 Int. J. Numer. Methods Eng. 102, No. 3-4, 688-710 (2015). MSC: 65N30 65D30 PDFBibTeX XMLCite \textit{G. Ventura} and \textit{E. Benvenuti}, Int. J. Numer. Methods Eng. 102, No. 3--4, 688--710 (2015; Zbl 1352.65559) Full Text: DOI
Cano, Alfredo; Moreno, Carlos A new method for numerical integration of singular functions on the plane. (English) Zbl 1311.65027 Numer. Algorithms 68, No. 3, 547-568 (2015). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. Cano} and \textit{C. Moreno}, Numer. Algorithms 68, No. 3, 547--568 (2015; Zbl 1311.65027) Full Text: DOI
Rabczuk, Timon Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives. (English) Zbl 1298.74002 ISRN Appl. Math. 2013, Article ID 849231, 38 p. (2013). MSC: 74-02 74-04 74R05 74R10 PDFBibTeX XMLCite \textit{T. Rabczuk}, ISRN Appl. Math. 2013, Article ID 849231, 38 p. (2013; Zbl 1298.74002) Full Text: DOI
Sudhakar, Y.; Wall, Wolfgang A. Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods. (English) Zbl 1286.65037 Comput. Methods Appl. Mech. Eng. 258, 39-54 (2013). MSC: 65D30 65N30 PDFBibTeX XMLCite \textit{Y. Sudhakar} and \textit{W. A. Wall}, Comput. Methods Appl. Mech. Eng. 258, 39--54 (2013; Zbl 1286.65037) Full Text: DOI
Minnebo, Hans Three-dimensional integration strategies of singular functions introduced by the XFEM in the LEFM. (English) Zbl 1352.74294 Int. J. Numer. Methods Eng. 92, No. 13, 1117-1138 (2012). MSC: 74R10 65N30 74B05 74G70 74S05 PDFBibTeX XMLCite \textit{H. Minnebo}, Int. J. Numer. Methods Eng. 92, No. 13, 1117--1138 (2012; Zbl 1352.74294) Full Text: DOI
Zhang, Yao-Ming; Gu, Yan; Chen, Jeng-Tzong Internal stress analysis for single and multilayered coating systems using the boundary element method. (English) Zbl 1259.74076 Eng. Anal. Bound. Elem. 35, No. 4, 708-717 (2011). MSC: 74S15 74E30 PDFBibTeX XMLCite \textit{Y.-M. Zhang} et al., Eng. Anal. Bound. Elem. 35, No. 4, 708--717 (2011; Zbl 1259.74076) Full Text: DOI
Zhang, Yao-Ming; Gu, Yan; Chen, Jeng-Tzong Boundary element analysis of 2D thin walled structures with high-order geometry elements using transformation. (English) Zbl 1259.74075 Eng. Anal. Bound. Elem. 35, No. 3, 581-586 (2011). MSC: 74S15 74K99 PDFBibTeX XMLCite \textit{Y.-M. Zhang} et al., Eng. Anal. Bound. Elem. 35, No. 3, 581--586 (2011; Zbl 1259.74075) Full Text: DOI
Zhang, Yao-Ming; Gu, Yan; Chen, Jeng-Tzong Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities. (English) Zbl 1398.74446 Comput. Mech. 47, No. 5, 493-504 (2011). MSC: 74S15 65N38 35J05 74S05 74B05 74K99 PDFBibTeX XMLCite \textit{Y.-M. Zhang} et al., Comput. Mech. 47, No. 5, 493--504 (2011; Zbl 1398.74446) Full Text: DOI
Yan, Z. Y.; Zhang, Jun; Ye, W. Rapid solution of 3-D oscillatory elastodynamics using the pfft accelerated BEM. (English) Zbl 1244.74202 Eng. Anal. Bound. Elem. 34, No. 11, 956-962 (2010). MSC: 74S15 74B05 74S25 74H15 PDFBibTeX XMLCite \textit{Z. Y. Yan} et al., Eng. Anal. Bound. Elem. 34, No. 11, 956--962 (2010; Zbl 1244.74202) Full Text: DOI
Qin, Xianyun; Zhang, Jianming; Li, Guangyao; Sheng, Xiaomin; Song, Qiao; Mu, Donghui An element implementation of the boundary face method for 3D potential problems. (English) Zbl 1244.74182 Eng. Anal. Bound. Elem. 34, No. 11, 934-943 (2010). MSC: 74S15 65N38 PDFBibTeX XMLCite \textit{X. Qin} et al., Eng. Anal. Bound. Elem. 34, No. 11, 934--943 (2010; Zbl 1244.74182) Full Text: DOI
Mousavi, S. E.; Sukumar, N. Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. (English) Zbl 1225.74099 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3237-3249 (2010). MSC: 74S05 74G70 74R10 PDFBibTeX XMLCite \textit{S. E. Mousavi} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3237--3249 (2010; Zbl 1225.74099) Full Text: DOI
Li, Ya; Ye, Jihong The interaction between membrane structure and wind based on the discontinuous boundary element. (English) Zbl 1193.76081 Sci. China, Technol. Sci. 53, No. 2, 486-501 (2010). MSC: 76M10 76M15 65F10 65F08 65D30 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Ye}, Sci. China, Technol. Sci. 53, No. 2, 486--501 (2010; Zbl 1193.76081) Full Text: DOI
Mukhopadhyay, Supratik; Majumdar, Nayana A study of three-dimensional edge and corner problems using the nebem solver. (English) Zbl 1244.78025 Eng. Anal. Bound. Elem. 33, No. 2, 105-119 (2009). MSC: 78M15 78A30 PDFBibTeX XMLCite \textit{S. Mukhopadhyay} and \textit{N. Majumdar}, Eng. Anal. Bound. Elem. 33, No. 2, 105--119 (2009; Zbl 1244.78025) Full Text: DOI arXiv
Park, Kyoungsoo; Pereira, Jeronymo P.; Duarte, C. Armando; Paulino, Glaucio H. Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems. (English) Zbl 1183.74305 Int. J. Numer. Methods Eng. 78, No. 10, 1220-1257 (2009). MSC: 74S05 74G70 PDFBibTeX XMLCite \textit{K. Park} et al., Int. J. Numer. Methods Eng. 78, No. 10, 1220--1257 (2009; Zbl 1183.74305) Full Text: DOI
Ye, Wenjing A new transformation technique for evaluating nearly singular integrals. (English) Zbl 1163.65089 Comput. Mech. 42, No. 3, 457-466 (2008). MSC: 65N38 PDFBibTeX XMLCite \textit{W. Ye}, Comput. Mech. 42, No. 3, 457--466 (2008; Zbl 1163.65089) Full Text: DOI
Bodin, Anthony; Ma, Jianfeng; Xin, X. J.; Krishnaswami, Prakash A meshless integral method based on regularized boundary integral equation. (English) Zbl 1157.74047 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 6258-6286 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 74S30 74S15 74B05 PDFBibTeX XMLCite \textit{A. Bodin} et al., Comput. Methods Appl. Mech. Eng. 195, No. 44--47, 6258--6286 (2006; Zbl 1157.74047) Full Text: DOI
Wang, John; Tsay, Ting-Kuei Analytical evaluation and application of the singularities in boundary element method. (English) Zbl 1182.76915 Eng. Anal. Bound. Elem. 29, No. 3, 241-256 (2005). MSC: 76M15 65N38 PDFBibTeX XMLCite \textit{J. Wang} and \textit{T.-K. Tsay}, Eng. Anal. Bound. Elem. 29, No. 3, 241--256 (2005; Zbl 1182.76915) Full Text: DOI
Bao, Zhongping; Mukherjee, Subrata Electrostatic BEM for MEMS with thin conducting plates and shells. (English) Zbl 1137.78345 Eng. Anal. Bound. Elem. 28, No. 12, 1427-1435 (2004). MSC: 78M15 PDFBibTeX XMLCite \textit{Z. Bao} and \textit{S. Mukherjee}, Eng. Anal. Bound. Elem. 28, No. 12, 1427--1435 (2004; Zbl 1137.78345) Full Text: DOI
Masters, Nathan; Ye, Wenjing Fast BEM solution for coupled 3D electrostatic and linear elastic problems. (English) Zbl 1130.74469 Eng. Anal. Bound. Elem. 28, No. 9, 1175-1186 (2004). MSC: 74S15 74B05 78M15 78A30 PDFBibTeX XMLCite \textit{N. Masters} and \textit{W. Ye}, Eng. Anal. Bound. Elem. 28, No. 9, 1175--1186 (2004; Zbl 1130.74469) Full Text: DOI
Chati, Mandar K.; Mukherjee, Subrata; Paulino, Glaucio H. The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems. (English) Zbl 1065.74626 Eng. Anal. Bound. Elem. 25, No. 8, 639-653 (2001). MSC: 74S15 74B05 31B10 PDFBibTeX XMLCite \textit{M. K. Chati} et al., Eng. Anal. Bound. Elem. 25, No. 8, 639--653 (2001; Zbl 1065.74626) Full Text: DOI
Chati, Mandar K.; Paulino, Glaucio H.; Mukherjee, Subrata The meshless standard and hypersingular boundary node methods – applications to error estimation and adaptivity in three-dimensional problems. (English) Zbl 0988.74073 Int. J. Numer. Methods Eng. 50, No. 9, 2233-2269 (2001). Reviewer: Andreas Pomp (Zürich) MSC: 74S15 65N15 65N38 65Y05 PDFBibTeX XMLCite \textit{M. K. Chati} et al., Int. J. Numer. Methods Eng. 50, No. 9, 2233--2269 (2001; Zbl 0988.74073) Full Text: DOI
Chati, Mandar K.; Mukherjee, Subrata; Mukherjee, Yu X. The boundary node method for three-dimensional linear elasticity. (English) Zbl 0951.74075 Int. J. Numer. Methods Eng. 46, No. 8, 1163-1184 (1999). MSC: 74S15 74S30 74B05 74B10 PDFBibTeX XMLCite \textit{M. K. Chati} et al., Int. J. Numer. Methods Eng. 46, No. 8, 1163--1184 (1999; Zbl 0951.74075) Full Text: DOI
Ye, Wenjing; Mukherjee, Subrata Optimal shape design of three-dimensional MEMs with applications to electrostatic comb drives. (English) Zbl 0953.74052 Int. J. Numer. Methods Eng. 45, No. 2, 175-194 (1999). Reviewer: A.Žilinskas (Vilnius) MSC: 74P10 74S15 78A55 PDFBibTeX XMLCite \textit{W. Ye} and \textit{S. Mukherjee}, Int. J. Numer. Methods Eng. 45, No. 2, 175--194 (1999; Zbl 0953.74052) Full Text: DOI