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A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
Title A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM Author Zhang Y. M. Co-authors Li X. Sládek Vladimír SAVSTAV - Ústav stavebníctva a architektúry SAV Sládek Ján SAVSTAV - Ústav stavebníctva a architektúry SAV RID ORCID Gao X. Source document Journal of Computational and Appllied Mathematics. Vol. 277 (2015), p. 57-72 Language eng - English Document kind rozpis článkov z periodík (rbx) Citations CHENG, C. - HAN, Z. - ZHOU, H. - NIU, Z. Analysis of the temperature field in anisotropic coating-structures by the boundary element method. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 60, p. 115-122. WANG, F. - CHEN, W. - GU, Y. Boundary element analysis of inverse heat conduction problems in 2D thin-walled structures. In INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. ISSN 0017-9310, 2015, vol. 91, p. 1001-1009. HU, Z. - NIU, Z. - CHENG, Ch. A new semi-analytic algorithm of nearly singular integrals on higher order element in 3D potential BEM. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2016, vol. 63, p. 30-39. WANG, F. - CHEN, W. - QU, W. - GU, Y. A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2016, vol. 63, p. 1-14. ZAMMARCHI, M. - FANTONI, F. - SALVADORI, A. - WAWRZYNEK, P. High order boundary and finite elements for 3D fracture propagation in brittle materials. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2017, vol. 315, p. 550-583. TAN, F. - JIAO, Y. Y. - LV, J. H. Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2018, vol. 89, p. 1-9. ZHAO, Y. F. - GUO, Y. G. - MIAO, T. C. - ZHAO, M. H. - FAN, C. Y. An iterative approach for analyzing cracks in two-dimensional piezoelectric media with exact boundary conditions. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2018, vol. 90, p. 76-85. TEZZON, E. - TRALLI, A. - TULLINI, N. Debonding of FRP and thin films from an elastic half-plane using a coupled FE-BIE model. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2018, vol. 93, p. 21-28. ZHANG, Jianming - JU, Chuanming - DIVO, Eduardo - ZHONG, Yudong - CHI, Baotao. A binary-tree subdivision method for evaluation of singular integrals in 3D BEM. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2019, vol. 103, p. 80-93. GONG, Y. P. - DONG, C. Y. - QIN, F. - HATTORI, G. - TREVELYAN, J. Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2020, vol. 367, art. no. 113099. ZHONG, Yudong - XIE, Guizhong - HOU, Junjian - HE, Wenbin - WANG, Liangwen - WANG, Shuguang. A boundary weak singularity elimination method for multilayer structures. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, vol. 130, pp. 69-78. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2021.05.012. ZHONG, Yudong - HOU, Junjian - FENG, Shizhe - XIE, Guizhong - WANG, Xinsheng - HE, Wenbin - WANG, Liangwen - CHEN, Zhiqiang - HAO, Hongwei. BEM analysis of multilayer thin structures using a composite transformation method for boundary integrals. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2022, vol. 134, pp. 650-664. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2021.11.007. IVANOV, D. Yu. On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain. In VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2022, vol. 32, no. 1, pp. 26-43. ISSN 1994-9197. Dostupné na: https://doi.org/10.35634/vm220103. HUANG, Rongjie - XIE, Guizhong - ZHONG, Yudong - GENG, Hongrui - LI, Hao - WANG, Liangwen. Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals. In COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, vol. 113, pp. 198-213. ISSN 0898-1221. Dostupné na: https://doi.org/10.1016/j.camwa.2022.03.014. KANDUČ, Tadej. Isoparametric singularity extraction technique for 3D potential problems in BEM. In Computer Methods in Applied Mechanics and Engineering, 2022-08-01, 398, art. no. 115271. ISSN 00457825. Dostupné na: https://doi.org/10.1016/j.cma.2022.115271. HOU, J.J. - ZENG, L. - ZHONG, Y.D. - ZHAO, D.F. - ZHAO, M.Y. A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem. In MECHANIKA. ISSN 1392-1207, 2023, vol. 29, no. 3, p. 179-187. Dostupné na: https://doi.org/10.5755/j02.mech.31683. IVANOV, D.Y. On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain. In VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI. ISSN 1994-9197, 2023, vol. 33, no. 3, p. 434-451. Dostupné na: https://doi.org/10.35634/vm230304. JU, B.R. - QU, W.Z. - GU, Y. Boundary Element Analysis for Mode III Crack Problems of Thin-Walled Structures from Micro- to Nano-Scales. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2023, vol. 136, no. 3, p. 2677-2690. Dostupné na: https://doi.org/10.32604/cmes.2023.025886. BOHM, S. - RUNGE, E. Efficient analytical evaluation of the singular BEM integrals for the three-dimensional Laplace and Stokes equations over polygonal elements. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, APR 2024, vol. 161, p. 70-77. Dostupné na: https://doi.org/10.1016/j.enganabound.2024.01.013. HU, B. - LI, C. - NIU, Z.R. A new multi-level strategy of numerical integration in the fast multipole BEM for analyzing 3D potential problems. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, MAY 1 2024, vol. 161, p. 174-189. Dostupné na: https://doi.org/10.1016/j.camwa.2024.02.047. TRAN, A.T. - LE QUANG, H. - NGUYEN, D.H. - HOANG, V.H. - DO, T.A. - HE, Q.C. Combining the micromechanical approach and boundary element method for estimating the effective permeability of 2D porous materials with arbitrarily shaped pores. In COMPUTATIONAL MECHANICS. ISSN 0178-7675, 2024 JUN 4 2024. Dostupné na: https://doi.org/10.1007/s00466-024-02498-w. DONG, Y.Q. - TAN, Z.X. - SUN, H.B. - YUAN, F.W. A bi-directional distance transformation for the elimination of near-singularity in boundary element method. In ENGINEERING COMPUTATIONS. ISSN 0264-4401, 2024 SEP 24 2024. Dostupné na: https://doi.org/10.1108/EC-06-2024-0529. Category ADCA - Scientific papers in foreign journals registered in Current Contents Connect with IF (impacted) Category of document (from 2022) V3 - Vedecký výstup publikačnej činnosti z časopisu Type of document článok Year 2015 Registered in WOS Registered in SCOPUS Registered in CCC DOI 10.1016/j.cam.2014.08.027 
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rok CC IF IF Q (best) JCR Av Jour IF Perc SJR SJR Q (best) CiteScore A rok vydania rok metriky IF IF Q (best) SJR SJR Q (best) 2015 2014 1.266 Q1 1.066 Q1
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