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Singular Integrals in Boundary Element Methods
Title Singular Integrals in Boundary Element Methods Another authors Sládek Vladimír (Editor) SAVSTAV - Ústav stavebníctva a architektúry SAV Sládek Ján (Editor) SAVSTAV - Ústav stavebníctva a architektúry SAV RID ORCID Issue data Southampton & Boston : WIT Press Publishing , 1998. - 448 p. Language eng - English Country US - United States of America Document kind zborníky Citations SHIAH, Y.C. - SHI, Y.X. Anisotropic heat conduction across an interface crack/defect filled with a thin interstitial medium. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. 2006, vol. 30, p. 325-337. NIU, Z. - CHENG, CH. - ZHOU, H. - HU, Z. Analytic formulations for calculating nearly singular integrals in two-dimensional BEM In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. 2007, vol. 31, p. 949-964. GAO, X. W. - ZHANG, CH. - GUO, L. Boundary-only solutions of 2D and 3D nonlinear and nonhomogeneous elastic problems. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. 2007, vol. 31, p. 974-982. 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. MAO, Y.J. - QI, D.T. A unified boundary integral equation for sound radiation and scattering from the open/closed thin bodies. ACTA PHYSICA SINICA. ISSN 1000-3290, OCT 2009, vol. 58, no. 10, p. 6764-6769. BOYKOV, I.V. - VENTSEL, E.S. - BOYKOVA, A.I. Accuracy optimal methods for evaluating hypersingular integrals. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, JUN 2009, vol. 59, no. 6, p. 1366-1385. WESTLUND, J. 2D SH modelling of ultrasonic testing for cracks near a non-planar surface. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2009, vol. 33, p. 1103-1112. WESTLUND, J. - BOSTROM, A. A 2D model of ultrasonic testing for cracks near a non-planar surface. In WAVE MOTION, 2010, vol. 47, no. 6, p. 383-394. ZOZULYA, V. V. Regularization of the divergent integrals in boundary integral equations. In ADVANCES IN BOUNDARY ELEMENT TECHNIQUES XI (Ch. Zhang, M.H. Aliabadi, M. Schanz, Eds.), EC ltd U.K., Southampton, 2010, p. 561-568. ZHANG, Y. - GU, Y. - CHEN, J. T. Boundary element analysis of the thermal behaviour in thin-coated cutting tools. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, vol. 34, p. 775-784. CHEN, H. B. - TANAKA, M. Calculation of potential second derivatives by means of a regularized indirect algorithm in the boundary element method. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, vol. 69, p.19-42. ZOZULYA, V. V. Divergent integrals in elastostatics, Regularization in 3-d case. In CMES-COMPUTER MODELING IN ENGINEERINGE & SCIENCE, 2010, vol. 70, p. 253-349. GAO, X.W. An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, vol. 199, no. 45-48, p. 2856-2864. GAO, X.W. A New Approach for Numerical Evaluation of High Order 3D Singular Boundary Integrals. In ISCM II AND EPMESC XII, PTS 1 AND 2, 2010, vol. 1233, p. 824-829. CHEN, W. - FU, Z. A novel numerical method for infinite domain potential problems. In CHINESE SCIENCE BULLETIN, 2010, vol. 55, no.16, p. 1598-1603. JING, Y.F. - HUANG, T.Z. - DUAN, Y. - LAI, S.J. - HUANG, J. A Novel Integration Method for Weak Singularity Arising in Two-Dimensional Scattering Problems. In IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2010, vol. 58, no. 8, p. 2725-2731. GHADIMI, P. - DASHTIMANESH, A. - HOSSEINZADEH, H. Solution of Poisson's equation by analytical boundary element integration. In APPLIED MATHEMATICS AND COMPUTATION, 2010, vol. 217, no. 1, p. 152-163. ZHANG, Y.M. - GU, Y. - CHEN, J.T. Internal stress analysis for single and multilayered coating systems using the boundary element method. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, vol. 35, no. 4, p. 708-717. YAN, Z.Y. - ZHANG, Q. Investigation on the Singularities of Some Singular Integrals. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, vol. 75, no. 3-4, p. 205-222. YANG, S.A. Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series. In INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2011, vol. 27, no. 6, p. 909-935. ZHANG, Y.M. - GU, Y. - CHEN, J.T. Boundary element analysis of thin structural problems in 2D elastostatics. In JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN, 2011, vol. 19, no. 4, p. 409-416. OCHIAI, Y. Meshless Unsteady Thermo-Elastoplastic Analysis by Triple-Reciprocity Boundary Element Method. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, vol. 79, no. 2, p. 83-101. ZHANG, Y.M. - GU, Y. - CHEN, J.T. A non-linear transformation applied to boundary layer effect and thin-body effect in BEM for 2D potential problems. In JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2011, vol. 34, no. 7, p. 905-916. XIE, D. - SCOTT, L. R A new boundary integral equation for molecular electrostatics with charges over whole space. In BIT NUMERICAL MATHEMATICS, 2011, vol. 51, no. 4, p. 1051-1071. ABBASPOUR, M.H. - GHODSI, M.H. Designe of a new scheme to indicate the domain of applicability of near singular approach in 2D BEM. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, vol. 35, p. 129-139. ZHOU, H. - HAN, H. - CHENG, Ch. - NIU, Z. - ZHAO, H. Inverse Identification of Heat Boundary Conditions for 2-D Anisotropic Coating Structures. In MECHANICAL AND ELECTRONICS ENGINEERING III, PTS 1-5. ISSN 1660-9336, 2012, vol. 130-134, p. 1825-1828. BEN HAMDIN, H. A. M. - TANNER, G. Multi-component BEM for the Helmholtz equation: A normal derivative method. In SHOCK AND VIBRATION. ISSN 1070-9622, 2012, vol. 19, no. 5, p. 957-967. DEHGHAN, M. - HOSSEINZADEH, H. Obtaining the upper bound of discretization error and critical boundary integrals of circular arc boundary element method. In MATHEMATICAL AND COMPUTER MODELLING. ISSN 0895-7177, 2012, vol. 55, no. 3-4, p. 517-529. SIMPSON, R. N. - BORDAS, S. P. A. - LIAN, H. - TREVELYAN, J. An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects. In COMPUTERS & STRUCTURES. ISSN 0045-7949, 2013, vol. 118, p. 2-12. TSAMASPHYROS, G. J. - THEOTOKOGLOU, E. E. - FILOPOULOS, S. P. Study and solution of BEM-singular integral equation method in the case of concentrated loads. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. ISSN 0020-7683, 2013, vol. 50, no. 10, p. 1634-1645. LV, J. H. - MIAO, Y. - GONG, W. H. - ZHU, H. P. The Sinh Transformation for Curved Elements Using the General Distance Function. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2013, vol. 93, no. 2, p. 113-131. FU, Z. - POPOV, V. Parametric study of acoustically-driven microbubble cavitations in a sonochemical reactor. In ULTRASONICS SONOCHEMISTRY. ISSN 1350-4177, 2014, vol. 21, no. 1, p. 415-427. BREBBIA, C. A. Gauss Integration. In BOUNDARY ELEMENT METHOD FOR PLATE ANALYSIS, 2014, p. 297-312. LV, J. - MIAO, Y. - ZHU, H. The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements. In COMPUTATIONAL MECHANICS. ISSN 0178-7675, 2014, vol. 53, no. 2, p. 359-367. ZOZULYA, V. V. An Approach Based on Generalized Functions to Regularize Divergent Integrals. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2014, vol. 40, p. 162-180. HOSSEINZADEH, H. - DEHGHAN, M. A simple and accurate scheme based on complex space C to calculate boundary integrals of 2D boundary elements method. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, 2014, vol. 68, no. 4, p. 531-542. 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. ZOZULYA, V. V. Regularization of divergent integrals: A comparison of the classical and generalized-functions approaches. In ADVANCES IN COMPUTATIONAL MATHEMATICS. ISSN 1019-7168, 2015, vol. 41, no. 4, p. 727-780. NOKOB, M. H. - YEUNG, R. W. Diffraction and radiation loads on open cylinders of thin and arbitrary shapes. In JOURNAL OF FLUID MECHANICS. ISSN 0022-1120, 2015, vol. 772, p. 649-677. HOSSEINZADEH, H. - TAHERKHANI, M. A. A New Extension of Boundary Elements Method for Classical Elliptic Partial Differential Equations with Constant Coefficients. In NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. ISSN 0749-159X, 2015, vol. 31, no. 6, p. 2027-2042. LV, J. H. - FENG, X. T. - YAN, F. - JIANG, Q. Efficient evaluation of integrals with kernel 1/r(chi) for quadrilateral elements with irregular shape. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 61, p. 33-41. GAO, X. W. - FENG, W. Z. - YANG, K. - CUI, M. Projection plane method for evaluation of arbitrary high order singular boundary integrals. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 50, p. 265-274. FENG, J. - YAO, Z. - LIU, Y. - ZHENG, X. Evaluating hypersingular integrals of 3D acoustic problems on curved surfaces. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2015, vol. 60, p. 27-36. ZHOU, H. L. - TIAN, Y. - YU, B. - NIU, Z. R. The natural boundary integral equation of the orthotropic potential problem. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2016, vol. 62, p. 186-192. KATSIKADELIS, J. T. Gauss Integration. In BOUNDARY ELEMENT METHOD FOR ENGINEERS AND SCIENTISTS: THEORY AND APPLICATIONS, 2ND EDITION, 2016, p. 403-421. KATSIKADELIS, J. T. The BEM for Two-Dimensional Elastostatic Problems. In BOUNDARY ELEMENT METHOD FOR ENGINEERS AND SCIENTISTS: THEORY AND APPLICATIONS, 2ND EDITION, 2016, p. 209-287. KATSIKADELIS, J. T. Boundary Element Technology. In BOUNDARY ELEMENT METHOD FOR ENGINEERS AND SCIENTISTS: THEORY AND APPLICATIONS, 2ND EDITION, 2016, p. 113-149. CUI, M. - FENG, W. Z. - GAO, X. W. - YANG, K. High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM. In MATHEMATICAL PROBLEMS IN ENGINEERING. ISSN 1024-123X, 2016, article number 9523405. SEDAGHATJOO, Z. - DEHGHAN, M. - HOSSEINZADEH, H. On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels. In JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, 2017, vol. 311, p. 664-681. ZHOU, H.L. - BIAN, B.X. - TIAN, Y. - YU, B. - NIU, Z.R. The calculation of potential derivatives by using nbie for anisotropic potential problems. In JOURNAL OF MECHANICS. ISSN 1727-7191, 2017, vol. 33, no. 2, p. 183-191. TSAO, W. H. - HWANG, W. S. Regularized boundary integral methods for three-dimensional potential flows. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2017, vol. 77, p. 49-60. BURYACHENKO, V A. Method of fundadmental solutions in micromechanics of elastic random structure composites. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. ISSN 0020-7683, 2017, vol. 124, p. 135-150. DENG, Y. N. - RONG, J. J. - YE, W. J. - GRAY, L. J. An efficient grid-based direct-volume integration BEM for 3D geometrically nonlinear elasticity. In COMPUTATIONAL MECHANICS. ISSN 0178-7675, 2018, vol. 62, no. 4, p. 603-616. BRANSKI, A. - PREDKA, E. Nonsingular Meshless Method in an Acoustic Indoor Problem. In ARCHIVES OF ACOUSTICS. ISSN 0137-5075, 2018, vol. 43, no. 1, p. 75-82. 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. GILLEBAART, E. - DE BREUKER, R. Geometrically consistent static aeroelastic simulation using isogeometric analysis. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2018, vol. 340, p. 296-319. LI, J. P. - FU, Z. J. - CHEN, W. - QIN, Q. H. A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, 2019, vol. 101, p. 165-172. YANASE, K. - CHATTERJEE, H. - GHOSH, S. K. On numerical evaluation of Eshelby tensor for superspherical and superellipsoidal inclusions in isotropic elastic material. In COMPOSITES PART B-ENGINEERING. ISSN 1359-8368, 2020, vol. 192, art. no. 107964. 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. REJWER-KOSINSKA, Ewa - RYBARSKA-RUSINEK, Liliana - LINKOV, Aleksandr. On evaluation of local fields by fast multipole method employing smooth equivalent/check surfaces. In APPLIED MATHEMATICS AND COMPUTATION, 2021, vol. 408, art. no. 126363. ISSN 0096-3003. Dostupné na: https://doi.org/10.1016/j.amc.2021.126363. RODOPOULOS, D.C. - GORTSAS, T.V. - TSINOPOULOS, S.V. - POLYZOS, D. Numerical evaluation of strain gradients in classical elasticity through the Boundary Element Method. In EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. ISSN 0997-7538, MAR-APR 2021, vol. 86, art. no. 104178. Dostupné na: https://doi.org/10.1016/j.euromechsol.2020.104178. GORTSAS, T.V. - TSINOPOULOS, S.V. - POLYZOS, E. - PYL, L. - FOTIADIS, D.I. - POLYZOS, D. BEM evaluation of surface octahedral strains and internal strain gradients in 3D-printed scaffolds used for bone tissue regeneration. In JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS. ISSN 1751-6161, JAN 2022, vol. 125, art. no. 104919. Dostupné na: https://doi.org/10.1016/j.jmbbm.2021.104919. OCHIAI, Y. Calculation of singular integrals on elements of three-dimensional problems by triple-reciprocity boundary element method. In ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. ISSN 0955-7997, APR 2022, vol. 137, p. 139-146. Dostupné na: https://doi.org/10.1016/j.enganabound.2022.02.003. Category FAI - Editorial work on book publications (bibliographies, encyclopedias, catalogues, dictionaries, collective publications/proceedings, atlases ...) Year 1998 References (1) Publication Activity of SAV - Articles 
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