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Numerical integration of logarithmic and nearly logarithmic singularity in BEMs
Title Numerical integration of logarithmic and nearly logarithmic singularity in BEMs Author Sládek Vladimír SAVSTAV - Ústav stavebníctva a architektúry SAV Co-authors Sládek Ján SAVSTAV - Ústav stavebníctva a architektúry SAV RID ORCID Tanaka M. Source document Applied Mathematical Modelling. Vol. 25, no. 11 (2001), p. 901-922 Language eng - English Document kind rozpis článkov z periodík (rbx) Citations RICHARDSON, J.D. Numerical p-version refinement studies for the regularized stress-BEM. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, DEC 14 2003, vol. 58, no. 14, p. 2161-2176. DANGLA, P. - SEMBLAT, J.F. - XIAO, H.H. - DELEPINE, N. A simple and efficient regularization method for 3D BEM: Application to frequency-domain elastodynamics. BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA. ISSN 0037-1106, OCT 2005, vol. 95, no. 5, p. 1916-1927. JOHNSTON, P.R. - ELLIOTT, D. A sinh transformation for evaluating nearly singular boundary element integrals. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, JAN 28 2005, vol. 62, no. 4, p. 564-578. SHIAH, Y.C. - SHI, Y.X. Heat conduction across thermal barrier coatings of anisotropic substrates. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER. ISSN 0735-1933, AUG 2006, vol. 33, no. 7, p. 827-835. SHIAH, Y.C. - SHI, Y.X. Anisotropic heat conduction across an interface crack/defect filled with a thin interstitial medium. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, MAY 2006, vol. 30, no. 5, p. 325-337. NIU, Z. - CHENG, C. - ZHOU, H. - HU, Z. Analytic formulations for calculating nearly singular integrals in two-dimensional BEM. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, DEC 2007, vol. 31, no. 12, p. 949-964. SHIAH, Y.C. - SHIH, Y.S. Regularization of nearly singular integrals in the boundary element analysis for interior anisotropic thermal field near the boundary. JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS. ISSN 0253-3839, MAR 2007, vol. 30, no. 2, p. 219-230. ELLIOTT, D. - JOHNSTON, P.R. The iterated sinh transformation. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, JUL 2 2008, vol. 75, no. 1, p. 43-57. SHIAH, Y.C. - LEE, B.J. Heat conduction of thin anisotropic composites subjected to convection. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER. ISSN 0735-1933, MAY 2008, vol. 35, no. 5, p. 565-570. TREEBY, B.E. - PAN, J. A practical examination of the errors arising in the direct collocation boundary element method for acoustic scattering. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, NOV 2009, vol. 33, no. 11, p. 1302-1315. SEVERCAN, M. H. - TANRIKULU, A. K. - TANRIKULU, A. H. - DENEME, I. O. The use of discontinuous first and second-order mixed boundary elements for 2D elastostatics. In STRUCTURAL ENGINEERING AND MECHANICS, 2010, vol. 34, no. 6, p. 703-718. QU, S. - CHEN, H. - LI, S. Adaptive Integration Method Based on Sub-Division Technique for Nearly Singular Integrals in Near-Field Acoustics Boundary Element Analysis. In JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL. ISSN 0263-0923, 2014, vol. 33, no. 1, p. 27-45. XIE, G. - ZHANG, J. - DONG, Y. - HUANG, C. - LI, G. An improved exponential transformation for nearly singular boundary element integrals in elasticity problems. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. ISSN 0020-7683, 2014, vol. 51, no. 6, p. 1322-1329. BANTLE, M. - FUNKEN, S. Efficient and accurate implementation of hp-BEM for the Laplace operator in 2D. In APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, 2015, vol. 95, p. 51-61. XIE, G. - WANG, L. - ZHANG, J. - ZHANG, D. - LI, H. - DU, W. Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 60, p. 137-143. NIU, Z. - HU, Z. - CHENG, C. - ZHOU, H. A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 61, p. 42-51. HU, Z. - NIU, Z. - CHENG, C. 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. GU, Y. - CHEN, W. - GAO, H. - ZHANG, Ch. A meshless singular boundary method for three-dimensional elasticity problems. In INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, 2016, vol. 107, no. 2, p. 109-126. GHEHSAREH, H. R. - ETESAMI, S. K. - ESFAHANI, M. H. Numerical Investigation of Electromagnetic Scattering Problems Based on the Compactly Supported Radial Basis Functions. In ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES. ISSN 0932-0784, 2016, vol. 71, no. 8, p. 677-690. CANO, A. - MORENO, C. Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions. In JOURNAL OF SCIENTIFIC COMPUTING. ISSN 0885-7474, 2017, vol. 71, no. 2, p. 571-593. SUN, R. - HU, Z. J. - NIU, Z. R. - ZHOU, H. L. A method of treating the nearly singular integral in calculation of sound radiation with BEM. In Scientia Sinica: Physica, Mechanica et Astronomica. ISSN 16747275, 2017, 47, 9, article number 094301. LIU, Y. - FALZARANO, J. M. A method to remove irregular frequencies and log singularity evaluation in wave-body interaction problems. In Journal of Ocean Engineering and Marine Energy. ISSN 21986444, 2017, 3, 2, p. 161-189. GHEHSAREH, H. R. - ESFAHANI, M. H. - ETESAMI, S. K. Numerical simulation of electromagnetic wave scattering from perfectly conducting cylinders using the local radial point interpolation technique. In JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS. ISSN 0920-5071, 2019, vol. 33, no. 3, p. 335-349. GONG, Y. P. - TREVELYAN, J. - HATTORI, G. - DONG, C. Y. Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2019, vol. 346, p. 642-673. 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. MARSHALL, Joshua P. - RICHARDSON, J. D. A three-dimensional, p-version BEM: High-order refinement leveraged through regularization. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, vol. 122, pp. 13-20. ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2020.09.015. GU, Yan - ZHANG, Chuanzeng. Fracture analysis of ultra-thin coating/substrate structures with interface cracks. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2021, vol. 225, art. no. 111074. ISSN 0020-7683. Dostupné na: https://doi.org/10.1016/j.ijsolstr.2021.111074. GORTSAS, Theodore V. - TSINOPOULOS, Stephanos V. A local domain BEM for solving transient convection-diffusion-reaction problems. In INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2022, vol. 194, art. no. 123029. ISSN 0017-9310. Dostupné na: https://doi.org/10.1016/j.ijheatmasstransfer.2022.123029. HARMEL, M. - SAUER, R.A. New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, AUG 2023, vol. 153, p. 172-200. Dostupné na: https://doi.org/10.1016/j.enganabound.2023.04.037. IVANOV, D.Y. On approximation of the normal derivative of the single layer heat potential near the boundary of a two-dimensional domain. In VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS. ISSN 1998-8621, JUN 2023, no. 83, p. 31-51. Dostupné na: https://doi.org/10.17223/19988621/83/4. IVANOV, D. Yu - PLATONOVA, O. A. An approximation of the double-layer heat potential near the boundary of a two-dimensional spatial domain. In AIP Conference Proceedings, 2023-07-05, 2526, 1, art. no. 020007. ISSN 0094243X. Dostupné na: https://doi.org/10.1063/5.0115721. 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 2001 Registered in WOS Registered in SCOPUS Registered in CCC DOI 10.1016/S0307-904X(01)00021-X 
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