af Klinteberg, Ludvig; Barnett, Alex H. Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. (English) Zbl 07329845 BIT 61, No. 1, 83-118 (2021). MSC: 65D30 65D32 65R20 PDF BibTeX XML Cite \textit{L. af Klinteberg} and \textit{A. H. Barnett}, BIT 61, No. 1, 83--118 (2021; Zbl 07329845) Full Text: DOI
Hu, Bin; Hu, Zongjun; Li, Cong; Niu, Zhongrong; Li, Xiaobao A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems. (English) Zbl 07325135 Comput. Math. Appl. 87, 65-76 (2021). MSC: 65 76 PDF BibTeX XML Cite \textit{B. Hu} et al., Comput. Math. Appl. 87, 65--76 (2021; Zbl 07325135) Full Text: DOI
Xie, Guizhong; Li, Ke; Zhong, Yudong; Li, Hao; Hao, Bing; Du, Wenliao; Sun, Chunya; Wang, Haoqi; Wen, Xiaoyu; Wang, Liangwen A systematic derived sinh based method for singular and nearly singular boundary integrals. (English) Zbl 07305286 Eng. Anal. Bound. Elem. 123, 147-153 (2021). MSC: 65 74 PDF BibTeX XML Cite \textit{G. Xie} et al., Eng. Anal. Bound. Elem. 123, 147--153 (2021; Zbl 07305286) Full Text: DOI
Shiah, Y. C.; Chang, Ray-Yu; Hematiyan, M. R. Three-dimensional analysis of heat conduction in anisotropic composites with thin adhesive/interstitial media by the boundary element method. (English) Zbl 07305277 Eng. Anal. Bound. Elem. 123, 36-47 (2021). MSC: 74 65 PDF BibTeX XML Cite \textit{Y. C. Shiah} et al., Eng. Anal. Bound. Elem. 123, 36--47 (2021; Zbl 07305277) Full Text: DOI
Xie, Guizhong; Zhou, Fenglin; Zhong, Yudong; Geng, Hongrui; Wu, Changjun Bi-directional sinh transformations based on the generalized Duffy space for nearly singular integrals. (English) Zbl 07210574 J. Comput. Appl. Math. 380, Article ID 112981, 16 p. (2020). MSC: 65 30 PDF BibTeX XML Cite \textit{G. Xie} et al., J. Comput. Appl. Math. 380, Article ID 112981, 16 p. (2020; Zbl 07210574) Full Text: DOI
Gong, Yanpeng; Dong, Chunying; Qin, Fei; Hattori, Gabriel; Trevelyan, Jon Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures. (English) Zbl 1442.74249 Comput. Methods Appl. Mech. Eng. 367, Article ID 113099, 36 p. (2020). MSC: 74S22 74S15 65D07 65D30 65N38 PDF BibTeX XML Cite \textit{Y. Gong} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113099, 36 p. (2020; Zbl 1442.74249) Full Text: DOI
Zhang, Yang-Hong; Chen, Jiao-Kai Error estimates for the nearly singular momentum-space bound-state equations. (English) Zbl 1434.65313 Adv. Math. Phys. 2020, Article ID 2560239, 5 p. (2020). MSC: 65R10 65R15 65R20 65G50 PDF BibTeX XML Cite \textit{Y.-H. Zhang} and \textit{J.-K. Chen}, Adv. Math. Phys. 2020, Article ID 2560239, 5 p. (2020; Zbl 1434.65313) Full Text: DOI
Tlupova, Svetlana; Beale, J. Thomas Regularized single and double layer integrals in 3D Stokes flow. (English) Zbl 1452.76196 J. Comput. Phys. 386, 568-584 (2019). MSC: 76M45 76D07 65N80 PDF BibTeX XML Cite \textit{S. Tlupova} and \textit{J. T. Beale}, J. Comput. Phys. 386, 568--584 (2019; Zbl 1452.76196) Full Text: DOI
Gong, Yanpeng; Trevelyan, Jon; Hattori, Gabriel; Dong, Chunying Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures. (English) Zbl 1440.74461 Comput. Methods Appl. Mech. Eng. 346, 642-673 (2019). MSC: 74S15 65N38 65D07 74K35 PDF BibTeX XML Cite \textit{Y. Gong} et al., Comput. Methods Appl. Mech. Eng. 346, 642--673 (2019; Zbl 1440.74461) Full Text: DOI
Tan, Fei; Jiao, Yu-Yong; Lv, Jia-He Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements. (English) Zbl 1403.74237 Eng. Anal. Bound. Elem. 89, 1-9 (2018). MSC: 74S15 65N38 65D30 PDF BibTeX XML Cite \textit{F. Tan} et al., Eng. Anal. Bound. Elem. 89, 1--9 (2018; Zbl 1403.74237) Full Text: DOI
Zhang, Jianming; Zhong, Yudong; Dong, Yunqiao; Lin, Weicheng Expanding element interpolation method for analysis of thin-walled structures. (English) Zbl 1403.65242 Eng. Anal. Bound. Elem. 86, 82-88 (2018). MSC: 65N38 74K35 PDF BibTeX XML Cite \textit{J. Zhang} et al., Eng. Anal. Bound. Elem. 86, 82--88 (2018; Zbl 1403.65242) Full Text: DOI
Carvalho, Camille; Khatri, Shilpa; Kim, Arnold D. Asymptotic analysis for close evaluation of layer potentials. (English) Zbl 1380.65396 J. Comput. Phys. 355, 327-341 (2018). MSC: 65N38 35J05 35J25 PDF BibTeX XML Cite \textit{C. Carvalho} et al., J. Comput. Phys. 355, 327--341 (2018; Zbl 1380.65396) Full Text: DOI
Gong, Y. P.; Dong, C. Y.; Bai, Y. Evaluation of nearly singular integrals in isogeometric boundary element method. (English) Zbl 1403.65198 Eng. Anal. Bound. Elem. 75, 21-35 (2017). MSC: 65N38 65D07 65D30 74S15 PDF BibTeX XML Cite \textit{Y. P. Gong} et al., Eng. Anal. Bound. Elem. 75, 21--35 (2017; Zbl 1403.65198) 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 PDF BibTeX XML Cite \textit{Y. Gu} et al., Comput. Mech. 59, No. 5, 779--793 (2017; Zbl 1398.65325) 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 PDF BibTeX XML Cite \textit{Y. Gu} et al., Comput. Methods Appl. Mech. Eng. 308, 483--498 (2016; Zbl 1439.65209) Full Text: DOI
Yang, Qing-Nian; Miao, Yu An improved exponential transformation for accurate evaluation of nearly singular boundary integrals in 3D BEM. (English) Zbl 1403.65238 Eng. Anal. Bound. Elem. 71, 27-33 (2016). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{Q.-N. Yang} and \textit{Y. Miao}, Eng. Anal. Bound. Elem. 71, 27--33 (2016; Zbl 1403.65238) Full Text: DOI
Lv, Jia-He; Feng, Xia-Ting; Chen, Bing-Rui; Jiang, Quan; Guo, Hao-Sen The CPCT based CBIE and HBIE for potential problems in three dimensions. (English) Zbl 1403.65214 Eng. Anal. Bound. Elem. 67, 53-62 (2016). MSC: 65N38 PDF BibTeX XML Cite \textit{J.-H. Lv} et al., Eng. Anal. Bound. Elem. 67, 53--62 (2016; Zbl 1403.65214) Full Text: DOI
Gu, Yan; Dong, Houqi; Gao, Hongwei; Chen, Wen; Zhang, Yaoming An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method. (English) Zbl 1403.74176 Eng. Anal. Bound. Elem. 65, 39-46 (2016). MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{Y. Gu} et al., Eng. Anal. Bound. Elem. 65, 39--46 (2016; Zbl 1403.74176) Full Text: DOI
Hu, Zongjun; Niu, Zhongrong; Cheng, Changzheng A new semi-analytic algorithm of nearly singular integrals on higher order element in 3D potential BEM. (English) Zbl 1403.65200 Eng. Anal. Bound. Elem. 63, 30-39 (2016). MSC: 65N38 PDF BibTeX XML Cite \textit{Z. Hu} et al., Eng. Anal. Bound. Elem. 63, 30--39 (2016; Zbl 1403.65200) Full Text: DOI
Zhou, Huan-Lin; Tian, Yu; Yu, Bo; Niu, Zhong-Rong The natural boundary integral equation of the orthotropic potential problem. (English) Zbl 1403.65247 Eng. Anal. Bound. Elem. 62, 186-192 (2016). MSC: 65N38 PDF BibTeX XML Cite \textit{H.-L. Zhou} et al., Eng. Anal. Bound. Elem. 62, 186--192 (2016; Zbl 1403.65247) Full Text: DOI
Tsalamengas, John L. Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners. (English) Zbl 1378.65078 J. Comput. Phys. 325, 338-357 (2016). MSC: 65D32 45E10 PDF BibTeX XML Cite \textit{J. L. Tsalamengas}, J. Comput. Phys. 325, 338--357 (2016; Zbl 1378.65078) Full Text: DOI
Niu, Zhongrong; Hu, Zongjun; Cheng, Changzheng; Zhou, Huanlin A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM. (English) Zbl 1403.74204 Eng. Anal. Bound. Elem. 61, 42-51 (2015). MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{Z. Niu} et al., Eng. Anal. Bound. Elem. 61, 42--51 (2015; Zbl 1403.74204) Full Text: DOI
Lv, Jia-He; Feng, Xia-Ting; Yan, Fei; Jiang, Quan Efficient evaluation of integrals with kernel \(1/r^\chi\) for quadrilateral elements with irregular shape. (English) Zbl 1403.65215 Eng. Anal. Bound. Elem. 61, 33-41 (2015). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{J.-H. Lv} et al., Eng. Anal. Bound. Elem. 61, 33--41 (2015; Zbl 1403.65215) Full Text: DOI
Zhang, Yaoming; Gong, Yanpeng; Gao, Xiaowei Calculation of 2D nearly singular integrals over high-order geometry elements using the sinh transformation. (English) Zbl 1403.65244 Eng. Anal. Bound. Elem. 60, 144-153 (2015). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Eng. Anal. Bound. Elem. 60, 144--153 (2015; Zbl 1403.65244) Full Text: DOI
Xie, Guizhong; Wang, Liangwen; Zhang, Jianming; Zhang, Dehai; Li, Hao; Du, Wenliao Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction. (English) Zbl 1403.80029 Eng. Anal. Bound. Elem. 60, 137-143 (2015). MSC: 80M15 65N38 80A20 PDF BibTeX XML Cite \textit{G. Xie} et al., Eng. Anal. Bound. Elem. 60, 137--143 (2015; Zbl 1403.80029) Full Text: DOI
Lv, Jia-He; Feng, Xia-Ting; Yan, Fei; Pan, Peng-Zhi; Xie, Gui-Zhong A combined conformal and sinh-sigmoidal transformations method for nearly singular boundary element integrals. (English) Zbl 1403.65013 Eng. Anal. Bound. Elem. 58, 166-175 (2015). MSC: 65D30 65N38 PDF BibTeX XML Cite \textit{J.-H. Lv} et al., Eng. Anal. Bound. Elem. 58, 166--175 (2015; Zbl 1403.65013) Full Text: DOI
Xiong, Huixia; Miao, Yu An improved exponential transformation for nearly singular integrations in boundary element method. (Chinese. English summary) Zbl 1340.76057 J. Huazhong Univ. Sci. Technol. 43, No. 3, 69-73 (2015). MSC: 76M15 PDF BibTeX XML Cite \textit{H. Xiong} and \textit{Y. Miao}, J. Huazhong Univ. Sci. Technol. 43, No. 3, 69--73 (2015; Zbl 1340.76057) Full Text: DOI
Li, XiaoChao; Zhang, Yaoming; Gong, Yanpeng; Su, Yu; Gao, Xiaowei Use of the sinh transformation for evaluating 2D nearly singular integrals in 3D BEM. (English) Zbl 1325.65164 Acta Mech. 226, No. 9, 2873-2885 (2015). MSC: 65N38 31B10 35J25 PDF BibTeX XML Cite \textit{X. Li} et al., Acta Mech. 226, No. 9, 2873--2885 (2015; Zbl 1325.65164) Full Text: DOI
Barnett, Alex; Wu, Bowei; Veerapaneni, Shravan Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations. (English) Zbl 1433.65323 SIAM J. Sci. Comput. 37, No. 4, B519-B542 (2015). MSC: 65N38 65D30 76D07 92C35 PDF BibTeX XML Cite \textit{A. Barnett} et al., SIAM J. Sci. Comput. 37, No. 4, B519--B542 (2015; Zbl 1433.65323) Full Text: DOI arXiv
Berriochoa Esnaola, E.; Cachafeiro López, A.; Cala Rodríguez, F.; Illán González, J.; Rebollido Lorenzo, J. M. Gauss rules associated with nearly singular weights. (English) Zbl 1310.65024 Appl. Numer. Math. 91, 1-10 (2015). MSC: 65D32 41A55 65T50 PDF BibTeX XML Cite \textit{E. Berriochoa Esnaola} et al., Appl. Numer. Math. 91, 1--10 (2015; Zbl 1310.65024) Full Text: DOI
Zhang, Yaoming; Li, Xiaochao; Sladek, Vladimir; Sladek, Jan; Gao, Xiaowei A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM. (English) Zbl 1302.65264 J. Comput. Appl. Math. 277, 57-72 (2015). MSC: 65N38 35J05 65N12 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 277, 57--72 (2015; Zbl 1302.65264) Full Text: DOI
Zhang, Yaoming; Li, Xiaochao; Sladek, Vladimir; Sladek, Jan; Gao, Xiaowei Computation of nearly singular integrals in 3D BEM. (English) Zbl 1403.65245 Eng. Anal. Bound. Elem. 48, 32-42 (2014). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Eng. Anal. Bound. Elem. 48, 32--42 (2014; Zbl 1403.65245) Full Text: DOI
Hu, Zongjun; Niu, Zhongrong; Cheng, Changzheng; Zhou, Huanlin A novel semi-analytic algorithm of nearly singular integrals in high order boundary element analysis of 2D potential. (Chinese. English summary) Zbl 1324.74059 Chin. J. Comput. Mech. 31, No. 6, 763-768, 798 (2014). MSC: 74S15 74S99 PDF BibTeX XML Cite \textit{Z. Hu} et al., Chin. J. Comput. Mech. 31, No. 6, 763--768, 798 (2014; Zbl 1324.74059) Full Text: DOI
Gu, Yan; Chen, Wen; Zhang, Bo; Qu, Wenzhen Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method. (English) Zbl 1398.74047 Comput. Mech. 53, No. 6, 1223-1234 (2014). MSC: 74E10 74S15 65N38 74B05 65D32 41A55 PDF BibTeX XML Cite \textit{Y. Gu} et al., Comput. Mech. 53, No. 6, 1223--1234 (2014; Zbl 1398.74047) Full Text: DOI
Lv, Jiahe; Miao, Yu; Zhu, Hongping The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements. (English) Zbl 1398.74441 Comput. Mech. 53, No. 2, 359-367 (2014). MSC: 74S15 65N38 65D32 74B05 65R20 PDF BibTeX XML Cite \textit{J. Lv} et al., Comput. Mech. 53, No. 2, 359--367 (2014; Zbl 1398.74441) Full Text: DOI
Xie, Guizhong; Zhang, Jianming Application of exponential transformation coupled with adaptive subdivision technique for nearly singular boundary integrals in elasticity problems. (English) Zbl 1302.74192 Gao, X. W. (ed.) et al., Boundary elements and other mesh reduction methods XXXVI. Selected papers based on the presentations at the 36th international conference (BEM/MRM), New Forest, UK, June 8–11, 2014. Southampton: WIT Press (ISBN 978-1-84564-841-1/hbk; 978-1-84564-842-8/ebook). WIT Transactions on Modelling and Simulation 56, 391-401 (2014). MSC: 74S15 74B05 PDF BibTeX XML Cite \textit{G. Xie} and \textit{J. Zhang}, WIT Trans. Model. Simul. 56, 391--401 (2014; Zbl 1302.74192) Full Text: DOI
Qu, Shen; Chen, Hao-Ran; Bai, Rui-Xiang; Li, Sheng Adaptive integration technique for nearly singular integrals in near-field acoustics boundary element analysis. (English) Zbl 1302.76122 Gao, X. W. (ed.) et al., Boundary elements and other mesh reduction methods XXXVI. Selected papers based on the presentations at the 36th international conference (BEM/MRM), New Forest, UK, June 8–11, 2014. Southampton: WIT Press (ISBN 978-1-84564-841-1/hbk; 978-1-84564-842-8/ebook). WIT Transactions on Modelling and Simulation 56, 353-363 (2014). MSC: 76M15 76Q05 PDF BibTeX XML Cite \textit{S. Qu} et al., WIT Trans. Model. Simul. 56, 353--363 (2014; Zbl 1302.76122) Full Text: DOI
Xie, Guizhong; Zhang, Jianming; Huang, Cheng; Lu, Chenjun; Li, Guangyao Calculation of nearly singular boundary element integrals in thin structures using an improved exponential transformation. (English) Zbl 1357.65290 CMES, Comput. Model. Eng. Sci. 94, No. 2, 139-157 (2013). MSC: 65N38 PDF BibTeX XML Cite \textit{G. Xie} et al., CMES, Comput. Model. Eng. Sci. 94, No. 2, 139--157 (2013; Zbl 1357.65290) Full Text: DOI
Lv, J. H.; Miao, Y.; Gong, W. H.; Zhu, H. P. The sinh transformation for curved elements using the general distance function. (English) Zbl 1357.65286 CMES, Comput. Model. Eng. Sci. 93, No. 2, 113-131 (2013). MSC: 65N38 PDF BibTeX XML Cite \textit{J. H. Lv} et al., CMES, Comput. Model. Eng. Sci. 93, No. 2, 113--131 (2013; Zbl 1357.65286) Full Text: DOI
Lv, J. H.; Miao, Y.; Zhu, H. P. General distance transformation for the numerical evaluation of nearly singular integrals in BEM. (English) Zbl 1357.65287 CMES, Comput. Model. Eng. Sci. 91, No. 2, 101-117 (2013). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{J. H. Lv} et al., CMES, Comput. Model. Eng. Sci. 91, No. 2, 101--117 (2013; Zbl 1357.65287) Full Text: DOI
Gu, Yan; Chen, Wen; Zhang, Chuanzeng The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements. (English) Zbl 1352.65586 Eng. Anal. Bound. Elem. 37, No. 2, 301-308 (2013). MSC: 65N38 PDF BibTeX XML Cite \textit{Y. Gu} et al., Eng. Anal. Bound. Elem. 37, No. 2, 301--308 (2013; Zbl 1352.65586) Full Text: DOI
Johnston, Peter R.; Johnston, Barbara M.; Elliott, David Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals. (English) Zbl 1297.65179 Eng. Anal. Bound. Elem. 37, No. 4, 708-718 (2013). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{P. R. Johnston} et al., Eng. Anal. Bound. Elem. 37, No. 4, 708--718 (2013; Zbl 1297.65179) Full Text: DOI
Xie, Guizhong; Zhou, Fenglin; Zhang, Jianming; Zheng, Xingshuai; Huang, Cheng New variable transformations for evaluating nearly singular integrals in 3D boundary element method. (English) Zbl 1287.65127 Eng. Anal. Bound. Elem. 37, No. 9, 1169-1178 (2013). MSC: 65N38 65D30 45E05 PDF BibTeX XML Cite \textit{G. Xie} et al., Eng. Anal. Bound. Elem. 37, No. 9, 1169--1178 (2013; Zbl 1287.65127) Full Text: DOI
Miao, Y.; Li, W.; Lv, J. H.; Long, X. H. Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements. (English) Zbl 1287.65124 Eng. Anal. Bound. Elem. 37, No. 10, 1311-1317 (2013). MSC: 65N38 65D30 PDF BibTeX XML Cite \textit{Y. Miao} et al., Eng. Anal. Bound. Elem. 37, No. 10, 1311--1317 (2013; Zbl 1287.65124) Full Text: DOI
Zhou, Huanlin; Jiang, Wei; Hu, Hao; Niu, Zhongrong Boundary element methods for boundary condition inverse problems in elasticity using PCGM and CGM regularization. (English) Zbl 1287.74015 Eng. Anal. Bound. Elem. 37, No. 11, 1471-1482 (2013). MSC: 74G75 74S15 65N21 65N38 PDF BibTeX XML Cite \textit{H. Zhou} et al., Eng. Anal. Bound. Elem. 37, No. 11, 1471--1482 (2013; Zbl 1287.74015) Full Text: DOI
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. (English) Zbl 1262.65043 J. Comput. Appl. Math. 245, 148-161 (2013). MSC: 65D32 PDF BibTeX XML Cite \textit{B. M. Johnston} et al., J. Comput. Appl. Math. 245, 148--161 (2013; Zbl 1262.65043) Full Text: DOI
Xie, Guizhong; Zhang, Jianming; Qin, Xianyun; Li, Guangyao New variable transformations for evaluating nearly singular integrals in 2D boundary element method. (English) Zbl 1259.65185 Eng. Anal. Bound. Elem. 35, No. 6, 811-817 (2011). MSC: 65N38 PDF BibTeX XML Cite \textit{G. Xie} et al., Eng. Anal. Bound. Elem. 35, No. 6, 811--817 (2011; Zbl 1259.65185) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{Y.-M. Zhang} et al., Eng. Anal. Bound. Elem. 35, No. 3, 581--586 (2011; Zbl 1259.74075) Full Text: DOI
Abbaspour, M.; Ghodsi, M. H. Design of a new scheme to indicate the domain of applicability of near singular approach in 2D BEM. (English) Zbl 1259.65177 Eng. Anal. Bound. Elem. 35, No. 1, 129-139 (2011). MSC: 65N38 PDF BibTeX XML Cite \textit{M. Abbaspour} and \textit{M. H. Ghodsi}, Eng. Anal. Bound. Elem. 35, No. 1, 129--139 (2011; Zbl 1259.65177) Full Text: DOI
Qin, Xianyun; Zhang, Jianming; Xie, Guizhong; Zhou, Fenglin; Li, Guanyao A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element. (English) Zbl 1219.65031 J. Comput. Appl. Math. 235, No. 14, 4174-4186 (2011). MSC: 65D32 41A55 65N38 PDF BibTeX XML Cite \textit{X. Qin} et al., J. Comput. Appl. Math. 235, No. 14, 4174--4186 (2011; Zbl 1219.65031) 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 PDF BibTeX XML Cite \textit{Y.-M. Zhang} et al., Comput. Mech. 47, No. 5, 493--504 (2011; Zbl 1398.74446) Full Text: DOI
Chen, X. L.; Zhang, H.; Wu, M. Modeling brain electrical activity by an image-based boundary element method. (English) Zbl 1244.78009 Eng. Anal. Bound. Elem. 34, No. 11, 995-1002 (2010). MSC: 78A70 78M15 92C55 92C05 PDF BibTeX XML Cite \textit{X. L. Chen} et al., Eng. Anal. Bound. Elem. 34, No. 11, 995--1002 (2010; Zbl 1244.78009) Full Text: DOI
Zhang, Yaoming; Gu, Yan; Chen, Jeng-Tzong Boundary element analysis of the thermal behaviour in thin-coated cutting tools. (English) Zbl 1244.74203 Eng. Anal. Bound. Elem. 34, No. 9, 775-784 (2010). MSC: 74S15 74F05 80A20 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Eng. Anal. Bound. Elem. 34, No. 9, 775--784 (2010; Zbl 1244.74203) Full Text: DOI
Ghosh, Ranajay; Mukherjee, Subrata Application of singular elements for fully Lagrangian modeling of dynamics of MEMS with thin beams. (English) Zbl 1244.74157 Eng. Anal. Bound. Elem. 34, No. 5, 447-455 (2010). MSC: 74S15 74H45 74K10 74F15 PDF BibTeX XML Cite \textit{R. Ghosh} and \textit{S. Mukherjee}, Eng. Anal. Bound. Elem. 34, No. 5, 447--455 (2010; Zbl 1244.74157) Full Text: DOI
Jabłoński, Paweł Integral and geometrical means in the analytical evaluation of the BEM integrals for a 3D Laplace equation. (English) Zbl 1244.65202 Eng. Anal. Bound. Elem. 34, No. 3, 264-273 (2010). MSC: 65N38 PDF BibTeX XML Cite \textit{P. Jabłoński}, Eng. Anal. Bound. Elem. 34, No. 3, 264--273 (2010; Zbl 1244.65202) Full Text: DOI
Zhang, Yaoming; Gu, Yan; Zheng, Bin A general nonlinear transformation for the evaluation of nearly singular integrals. (English) Zbl 1231.45010 Kallel, Ali (ed.) et al., Mathematical methods, computational techniques, intelligent systems. 12th WSEAS international conference (MAMECTIS ’10), Kantaoui, Sousse, Tunia, May 3–6, 2010. Athens: World Scientific and Engineering Academy and Society (WSEAS) (ISBN 978-960-474-191-5/CD-ROM; 978-960-474-188-5/hbk). Electrical and Computer Engineering Series. A Series of Reference Books and Textbooks, 109-112 (2010). MSC: 45E99 PDF BibTeX XML Cite \textit{Y. Zhang} et al., in: Mathematical methods, computational techniques, intelligent systems. 12th WSEAS international conference (MAMECTIS '10), Kantaoui, Sousse, Tunia, May 3--6, 2010. Athens: World Scientific and Engineering Academy and Society (WSEAS). 109--112 (2010; Zbl 1231.45010)
Zhang, Yaoming; Liu, Zhaoyan; Gu, Yan; Li, Gongsheng A transformation algorithm applied to boundary layer effect in BEM for elastic plane problems. (Chinese. English summary) Zbl 1230.74213 Chin. J. Comput. Mech. 27, No. 5, 775-780 (2010). MSC: 74S15 74B20 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Chin. J. Comput. Mech. 27, No. 5, 775--780 (2010; Zbl 1230.74213)
Nintcheu Fata, S. Semi-analytic treatment of nearly-singular Galerkin surface integrals. (English) Zbl 1198.65238 Appl. Numer. Math. 60, No. 10, 974-993 (2010). MSC: 65N38 35J25 65D32 PDF BibTeX XML Cite \textit{S. Nintcheu Fata}, Appl. Numer. Math. 60, No. 10, 974--993 (2010; Zbl 1198.65238) Full Text: DOI
Zhang, Y. M.; Gu, Y.; Chen, J. T. Boundary layer effect in BEM with high order geometry elements using transformation. (English) Zbl 1357.74072 CMES, Comput. Model. Eng. Sci. 45, No. 3, 227-248 (2009). MSC: 74S15 65N38 45E05 PDF BibTeX XML Cite \textit{Y. M. Zhang} et al., CMES, Comput. Model. Eng. Sci. 45, No. 3, 227--248 (2009; Zbl 1357.74072) Full Text: DOI
Zhang, Yaoming; Gu, Yan; Chen, Jeng-Tzong Analysis of 2D thin walled structures in BEM with high-order geometry elements using exact integration. (English) Zbl 1231.74467 CMES, Comput. Model. Eng. Sci. 50, No. 1, 1-20 (2009). MSC: 74S15 65N38 74B05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., CMES, Comput. Model. Eng. Sci. 50, No. 1, 1--20 (2009; Zbl 1231.74467) Full Text: DOI EuDML
Huybrechs, Daan; Cools, Ronald On generalized Gaussian quadrature rules for singular and nearly singular integrals. (English) Zbl 1190.65038 SIAM J. Numer. Anal. 47, No. 1, 719-739 (2009). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 41A63 PDF BibTeX XML Cite \textit{D. Huybrechs} and \textit{R. Cools}, SIAM J. Numer. Anal. 47, No. 1, 719--739 (2009; Zbl 1190.65038) Full Text: DOI
Carley, Michael Numerical quadratures for near-singular and near-hypersingular integrals in boundary element methods. (English) Zbl 1168.65012 Math. Proc. R. Ir. Acad. 109A, No. 1, 49-60 (2009). MSC: 65D32 41A55 65N38 35J05 PDF BibTeX XML Cite \textit{M. Carley}, Math. Proc. R. Ir. Acad. 109A, No. 1, 49--60 (2009; Zbl 1168.65012) Full Text: DOI arXiv
Elliott, David; Johnston, Peter R. The iterated sinh transformation. (English) Zbl 1195.65183 Int. J. Numer. Methods Eng. 75, No. 1, 43-57 (2008). MSC: 65N38 PDF BibTeX XML Cite \textit{D. Elliott} and \textit{P. R. Johnston}, Int. J. Numer. Methods Eng. 75, No. 1, 43--57 (2008; Zbl 1195.65183) Full Text: DOI
Zhou, Huanlin; Niu, Zhongrong; Cheng, Changzheng; Wang, Xiuxi Analytical algorithm of the nearly singular integrals in boundary element method to anisotropic potential problems. (Chinese. English summary) Zbl 1199.65396 Chin. J. Comput. Mech. 25, No. 3, 333-338 (2008). MSC: 65N38 35J05 PDF BibTeX XML Cite \textit{H. Zhou} et al., Chin. J. Comput. Mech. 25, No. 3, 333--338 (2008; Zbl 1199.65396)
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 PDF BibTeX XML Cite \textit{W. Ye}, Comput. Mech. 42, No. 3, 457--466 (2008; Zbl 1163.65089) Full Text: DOI
Elliott, David; Johnston, Peter R. Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function. (English) Zbl 1135.41010 J. Comput. Appl. Math. 211, No. 1, 23-35 (2008). MSC: 41A55 65N38 PDF BibTeX XML Cite \textit{D. Elliott} and \textit{P. R. Johnston}, J. Comput. Appl. Math. 211, No. 1, 23--35 (2008; Zbl 1135.41010) Full Text: DOI
Niu, Zhongrong; Cheng, Changzheng; Zhou, Huanlin; Hu, Zongjun Analytic formulations for calculating nearly singular integrals in two-dimensional BEM. (English) Zbl 1259.74056 Eng. Anal. Bound. Elem. 31, No. 12, 949-964 (2007). MSC: 74S15 74B05 65N38 PDF BibTeX XML Cite \textit{Z. Niu} et al., Eng. Anal. Bound. Elem. 31, No. 12, 949--964 (2007; Zbl 1259.74056) Full Text: DOI
Zhou, Huanlin; Niu, Zhongrong; Cheng, Changzheng; Guan, Zhongwei Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies. (English) Zbl 1195.74271 Eng. Anal. Bound. Elem. 31, No. 9, 739-748 (2007). MSC: 74S15 74E10 PDF BibTeX XML Cite \textit{H. Zhou} et al., Eng. Anal. Bound. Elem. 31, No. 9, 739--748 (2007; Zbl 1195.74271) Full Text: DOI
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals. (English) Zbl 1194.65143 Int. J. Numer. Methods Eng. 69, No. 7, 1460-1479 (2007). MSC: 65N38 PDF BibTeX XML Cite \textit{B. M. Johnston} et al., Int. J. Numer. Methods Eng. 69, No. 7, 1460--1479 (2007; Zbl 1194.65143) Full Text: DOI
Elliott, David; Johnston, Peter R. Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. (English) Zbl 1116.65032 J. Comput. Appl. Math. 203, No. 1, 103-124 (2007). Reviewer: Josef Kofroň (Praha) MSC: 65D32 65N38 41A55 PDF BibTeX XML Cite \textit{D. Elliott} and \textit{P. R. Johnston}, J. Comput. Appl. Math. 203, No. 1, 103--124 (2007; Zbl 1116.65032) Full Text: DOI
Ying, Lexing; Biros, George; Zorin, Denis A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. (English) Zbl 1105.65115 J. Comput. Phys. 219, No. 1, 247-275 (2006). MSC: 65N38 35J25 35J05 35Q30 65T50 PDF BibTeX XML Cite \textit{L. Ying} et al., J. Comput. Phys. 219, No. 1, 247--275 (2006; Zbl 1105.65115) Full Text: DOI
Chen, X. L.; Liu, Y. J. An advanced 3D boundary element method for characterizations of composite materials. (English) Zbl 1182.74212 Eng. Anal. Bound. Elem. 29, No. 6, 513-523 (2005). MSC: 74S15 74E30 PDF BibTeX XML Cite \textit{X. L. Chen} and \textit{Y. J. Liu}, Eng. Anal. Bound. Elem. 29, No. 6, 513--523 (2005; Zbl 1182.74212) Full Text: DOI
Hayami, Ken Variable transformations for nearly singular integrals in the boundary element method. (English) Zbl 1100.65109 Publ. Res. Inst. Math. Sci. 41, No. 4, 821-842 (2005). MSC: 65N38 31B10 35J05 65N15 PDF BibTeX XML Cite \textit{K. Hayami}, Publ. Res. Inst. Math. Sci. 41, No. 4, 821--842 (2005; Zbl 1100.65109) Full Text: DOI
Johnston, Peter R.; Elliott, David A sinh transformation for evaluating nearly singular boundary element integrals. (English) Zbl 1119.65318 Int. J. Numer. Methods Eng. 62, No. 4, 564-578 (2005). MSC: 65D32 41A55 65N38 PDF BibTeX XML Cite \textit{P. R. Johnston} and \textit{D. Elliott}, Int. J. Numer. Methods Eng. 62, No. 4, 564--578 (2005; Zbl 1119.65318) Full Text: DOI
Bao, Zhongping; Mukherjee, Subrata Electrostatic BEM for MEMS with thin beams. (English) Zbl 1064.78014 Commun. Numer. Methods Eng. 21, No. 6, 297-312 (2005). MSC: 78M15 78A55 PDF BibTeX XML Cite \textit{Z. Bao} and \textit{S. Mukherjee}, Commun. Numer. Methods Eng. 21, No. 6, 297--312 (2005; Zbl 1064.78014) 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 PDF BibTeX XML Cite \textit{Z. Bao} and \textit{S. Mukherjee}, Eng. Anal. Bound. Elem. 28, No. 12, 1427--1435 (2004; Zbl 1137.78345) Full Text: DOI
Beale, J. Thomas A grid-based boundary integral method for elliptic problems in three dimensions. (English) Zbl 1159.65368 SIAM J. Numer. Anal. 42, No. 2, 599-620 (2004). Reviewer: Emil Minchev (Russe) MSC: 65R20 31B10 35R10 PDF BibTeX XML Cite \textit{J. T. Beale}, SIAM J. Numer. Anal. 42, No. 2, 599--620 (2004; Zbl 1159.65368) Full Text: DOI
Liu, Yijun The boundary element method for piezoelectric materials. (English) Zbl 1076.74566 Yang, J. S. (ed.) et al., Mechanics of electromagnetic solids. Papers presented at the fourth international conference om nonlinear mechanics, Shanghai, China, August 13–16, 2002. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7579-0/hbk). Adv. Mech. Math. 3, 143-161 (2003). MSC: 74S15 74F15 74K35 74-02 PDF BibTeX XML Cite \textit{Y. Liu}, Adv. Mech. Math. 3, 143--161 (2003; Zbl 1076.74566)
Ma, H.; Kamiya, N. A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity. (English) Zbl 1128.74343 Comput. Mech. 29, No. 4-5, 277-288 (2002). MSC: 74S15 74B05 PDF BibTeX XML Cite \textit{H. Ma} and \textit{N. Kamiya}, Comput. Mech. 29, No. 4--5, 277--288 (2002; Zbl 1128.74343) Full Text: DOI
Syam, Muhammed I. Approximating weakly and nearly singular integrals. (English) Zbl 1013.65018 Far East J. Appl. Math. 6, No. 3, 253-263 (2002). Reviewer: Feng Qi (Jiaozuo City, Henan) MSC: 65D32 41A55 65R20 45E10 PDF BibTeX XML Cite \textit{M. I. Syam}, Far East J. Appl. Math. 6, No. 3, 253--263 (2002; Zbl 1013.65018)
Liu, Yijun; Fan, Hui Analysis of thin piezoelectric solids by the boundary element method. (English) Zbl 1131.74342 Comput. Methods Appl. Mech. Eng. 191, No. 21-22, 2297-2315 (2002). MSC: 74S15 74F15 74K35 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{H. Fan}, Comput. Methods Appl. Mech. Eng. 191, No. 21--22, 2297--2315 (2002; Zbl 1131.74342) Full Text: DOI
Ma, Hang; Kamiya, Norio A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM. (English) Zbl 1042.74054 Eng. Anal. Bound. Elem. 25, No. 10, 833-841 (2001). Reviewer: Vladimir Sládek (Bratislava) MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{H. Ma} and \textit{N. Kamiya}, Eng. Anal. Bound. Elem. 25, No. 10, 833--841 (2001; Zbl 1042.74054) Full Text: DOI
Granados, J. J.; Gallego, R. Regularization of nearly hypersingular integrals in the boundary element method. (English) Zbl 1015.74073 Eng. Anal. Bound. Elem. 25, No. 3, 165-184 (2001). MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{J. J. Granados} and \textit{R. Gallego}, Eng. Anal. Bound. Elem. 25, No. 3, 165--184 (2001; Zbl 1015.74073) Full Text: DOI
Beale, J. Thomas; Lai, Ming-Chih A method for computing nearly singular integrals. (English) Zbl 0988.65025 SIAM J. Numer. Anal. 38, No. 6, 1902-1925 (2001). Reviewer: D.Acu (Sibiu) MSC: 65D32 65N38 31A10 35J05 PDF BibTeX XML Cite \textit{J. T. Beale} and \textit{M.-C. Lai}, SIAM J. Numer. Anal. 38, No. 6, 1902--1925 (2001; Zbl 0988.65025) Full Text: DOI
Mukherjee, Subrata; Chati, Mandar K.; Shi, Xiaolan Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity. (English) Zbl 0993.74077 Int. J. Solids Struct. 37, No. 51, 7633-7654 (2000). MSC: 74S15 74B05 PDF BibTeX XML Cite \textit{S. Mukherjee} et al., Int. J. Solids Struct. 37, No. 51, 7633--7654 (2000; Zbl 0993.74077) Full Text: DOI
Sladek, V.; Sladek, J.; Tanaka, M. Optimal transformations of the integration variables in computation of singular integrals in BEM. (English) Zbl 0962.74073 Int. J. Numer. Methods Eng. 47, No. 7, 1263-1283 (2000). MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{V. Sladek} et al., Int. J. Numer. Methods Eng. 47, No. 7, 1263--1283 (2000; Zbl 0962.74073) Full Text: DOI
Chen, H. B.; Lu, P.; Huang, M. G.; Williams, F. W. An effective method for finding values on and near boundaries in the elastic BEM. (English) Zbl 0941.74075 Comput. Struct. 69, No. 4, 421-431 (1998). MSC: 74S15 74B05 PDF BibTeX XML Cite \textit{H. B. Chen} et al., Comput. Struct. 69, No. 4, 421--431 (1998; Zbl 0941.74075) Full Text: DOI
Luo, J. F.; Liu, Y. J.; Berger, E. J. Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. (English) Zbl 0938.74075 Comput. Mech. 22, No. 5, 404-412 (1998). MSC: 74S15 74K99 PDF BibTeX XML Cite \textit{J. F. Luo} et al., Comput. Mech. 22, No. 5, 404--412 (1998; Zbl 0938.74075) Full Text: DOI
Liu, Yijun Analysis of shell-like structures by the boundary element method based on 3-D elasticity: Formulation and verification. (English) Zbl 0910.73068 Int. J. Numer. Methods Eng. 41, No. 3, 541-558 (1998). MSC: 74S15 74K15 PDF BibTeX XML Cite \textit{Y. Liu}, Int. J. Numer. Methods Eng. 41, No. 3, 541--558 (1998; Zbl 0910.73068) Full Text: DOI
Wu, S.; Lu, Pan-An On the evaluation of nearly singular kernel integrals in boundary element analysis – some improved formulations. (English) Zbl 0926.65024 Commun. Numer. Methods Eng. 12, No. 2, 85-93 (1996). MSC: 65D32 65N38 PDF BibTeX XML Cite \textit{S. Wu} and \textit{P.-A. Lu}, Commun. Numer. Methods Eng. 12, No. 2, 85--93 (1996; Zbl 0926.65024) Full Text: DOI
Kunihiro, Noboru; Hayami, Ken; Sugihara, Masaaki Automatic numerical integration of nearly singular boundary element integrals. (English) Zbl 0835.65045 Ushijima, Teruo (ed.) et al., Advances in numerical mathematics. Proceedings of the 2nd Japan-China seminar on numerical mathematics, held in August 22-26, 1994 at the University of Electro-Communications in Tokyo, Japan. Tokyo: Kinokuniya. Lect. Notes Numer. Appl. Anal. 14, 249-252 (1995). MSC: 65D32 65N38 PDF BibTeX XML Cite \textit{N. Kunihiro} et al., Lect. Notes Numer. Appl. Anal. 14, 249--252 (1995; Zbl 0835.65045)
Fiedler, C. Regularized computation of interior displacements and stresses by BEM. (English) Zbl 0831.73067 Arch. Appl. Mech. 65, No. 1, 2-12 (1994). Reviewer: J.Sládek (Bratislava) MSC: 74S15 74B10 PDF BibTeX XML Cite \textit{C. Fiedler}, Arch. Appl. Mech. 65, No. 1, 2--12 (1994; Zbl 0831.73067)
Hayami, K.; Matsumoto, H. Improvement of quadrature for nearly singular integrals in 3D-BEM. (English) Zbl 0812.65014 Brebbia, C. A. (ed.), Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. Southampton: Computational Mechanics Publications. 201-210 (1994). Reviewer: J.Kofroň (Praha) MSC: 65D32 41A55 65N38 41A63 PDF BibTeX XML Cite \textit{K. Hayami} and \textit{H. Matsumoto}, in: Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. South\-amp\-ton: Computational Mechanics Publications. 201--210 (1994; Zbl 0812.65014)
Hackbusch, Wolfgang Implementational details of the boundary element method. (English) Zbl 0811.65103 Jentsch, Lothar (ed.) et al., Problems and methods in mathematical physics. 10th Conference, 10th TMP, TU of Chemnitz-Zwickau in Chemnitz, Germany, September 13-17, 1993. Leipzig: Teubner. Teubner-Texte Math. 134, 71-78 (1994). Reviewer: A.Pomp (Stuttgart) MSC: 65N38 65N55 65F10 65R20 45E10 35J25 PDF BibTeX XML Cite \textit{W. Hackbusch}, in: Problems and methods in mathematical physics. 10th Conference, 10th TMP, TU of Chemnitz-Zwickau in Chemnitz, Germany, September 13-17, 1993. Leipzig: Teubner. 71--78 (1994; Zbl 0811.65103)
Sauter, S. A. On the efficient implementation of the Galerkin-BEM. (English) Zbl 0809.65009 Z. Angew. Math. Mech. 74, No. 6, T516-T518 (1994). MSC: 65D32 41A55 65N38 65N35 41A63 PDF BibTeX XML Cite \textit{S. A. Sauter}, Z. Angew. Math. Mech. 74, No. 6, T516--T518 (1994; Zbl 0809.65009)
Hackbusch, Wolfgang; Sauter, Stefan A. On the efficient use of the Galerkin-method to solve Fredholm integral equations. (English) Zbl 0791.65101 Appl. Math., Praha 38, No. 4-5, 301-322 (1993). Reviewer: J.Elschner (Berlin) MSC: 65R20 65N38 35J25 45E10 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{S. A. Sauter}, Appl. Math., Praha 38, No. 4--5, 301--322 (1993; Zbl 0791.65101) Full Text: EuDML
Huang, Q.; Cruse, T. A. Some notes on singular integral techniques in boundary element analysis. (English) Zbl 0781.73076 Int. J. Numer. Methods Eng. 36, No. 15, 2643-2659 (1993). MSC: 74S15 65N38 PDF BibTeX XML Cite \textit{Q. Huang} and \textit{T. A. Cruse}, Int. J. Numer. Methods Eng. 36, No. 15, 2643--2659 (1993; Zbl 0781.73076) Full Text: DOI
Hayami, K.; Matsumoto, H.; Moroga, K. Improvement and implementation of PART: Numerical quadrature for nearly singular boundary element integrals. (English) Zbl 0829.65028 Brebbia, C. A. (ed.) et al., Boundary elements XIV. Vol. 1: Field problems and applications. Proceedings of the 14th international conference on boundary element methods, BEM 14, held in Sevilla, Spain, 1992. Southampton: Computational Mechanics Publications. 605-617 (1992). MSC: 65D32 41A55 65N38 PDF BibTeX XML Cite \textit{K. Hayami} et al., in: Boundary elements XIV. Vol. 1: Field problems and applications. Proceedings of the 14th international conference on boundary element methods, BEM 14, held in Sevilla, Spain, 1992. Southampton: Computational Mechanics Publications; London: Elsevier Science Publishers. 605--617 (1992; Zbl 0829.65028)
Hayami, Ken A robust numerical integration method for 3-D boundary element analysis and its error analysis using complex function theory. (English) Zbl 0741.65016 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 235-248 (1992). MSC: 65D32 41A55 65N38 41A63 PDF BibTeX XML