Hematiyan, Mohammad Rahim; Khosravifard, Amir; Mohammadi, Mehrdad A general technique for coupling two arbitrary methods in stress analysis. (English) Zbl 1359.74413 Int. J. Comput. Methods 9, No. 2, Article ID 1240027, 15 p. (2012). Summary: In this paper, a general technique for coupling two arbitrary methods is presented. The problem domain is decomposed into two sub-domains. Afterwards, a sensitivity analysis at the interface of each sub-domain is carried out. Sensitivity matrices of the two sub-domains are used to find the coupling matrix equation. Unknowns at the interface are then found by solving the equations. The size of the matrix equation is very small in comparison with coefficient matrices of each sub-domain. The present method allows the black box coupling of different methods, even commercial software without having access to the matrices created by the methods. Cited in 1 Document MSC: 74S05 Finite element methods applied to problems in solid mechanics 74S15 Boundary element methods applied to problems in solid mechanics Keywords:FEM; BEM; mesh-free methods; radial point interpolation method; coupling Software:BEMECH; SERBA PDFBibTeX XMLCite \textit{M. R. Hematiyan} et al., Int. J. Comput. Methods 9, No. 2, Article ID 1240027, 15 p. (2012; Zbl 1359.74413) Full Text: DOI References: [1] G. Beer , I. Smith and C. Duenser , The Boundary Element Method with Programming ( Springer, Verlag , New York , 2008 ) . · Zbl 1155.74001 [2] T. Belytschko and D. Organ, Comput. Mech. 17, 186 (1995). genRefLink(16, ’rf2’, ’10.1007 [3] W. M. Elleithy and H. J. Al-Gahtani, Eng. Anal. Bound. Elem. 24, 391 (2000). genRefLink(16, ’rf3’, ’10.1016 [4] W. M. Elleithy, H. J. Al-Gahtani and M. El-Gebeily, Eng. Anal. Bound. Elem. 25, 685 (2001). genRefLink(16, ’rf4’, ’10.1016 [5] A. Frangi and G. Novati, Comput. Mech. 32, 415 (2003). genRefLink(16, ’rf5’, ’10.1007 [6] X. W. Gao and T. G. Davies , Boundary Element Programming in Mechanics ( Cambridge University Press , Cambridge , 2002 ) . · Zbl 1007.74001 [7] Georgiou, P. [1981] The Coupling of the Direct Boundary Element Method with the Finite Element Displacement Technique in Elastostatics, Ph.D. Thesis, Southampton University . [8] Y. T. Gu and G. R. Liu, Comput. Methods Appl. Mech. Eng. 190, 4405 (2001). genRefLink(16, ’rf8’, ’10.1016 [9] Y. T. Gu and G. R. Liu, Eng. Anal. Bound. Elem. 27, 905 (2003). genRefLink(16, ’rf9’, ’10.1016 [10] Y. T. Gu and G. R. Liu, Tsinghua Sci. Technol. 10, 8 (2005). genRefLink(16, ’rf10’, ’10.1016 [11] M. Haas and G. Kuhn, Eng. Anal. Bound. Elem. 27, 575 (2003). genRefLink(16, ’rf11’, ’10.1016 [12] M. R. Hematiyan , A. Khosravifard and H. Bagheri , Advances in Boundary Element Techniques X , eds. E. J. Sapountzakis and M. H. Aliabadi ( EC Ltd , UK , 2009 ) . [13] A. Khosravifard and M. R. Hematiyan, Eng. Anal. Bound. Elem. 34, 30 (2010). genRefLink(16, ’rf13’, ’10.1016 [14] C. K. Lee, S. T. Lie and Y. Y. Shuai, Comput. Mech. 34, 282 (2004). genRefLink(128, ’rf14’, ’000224639800004’); [15] G. Li, G. H. Paulino and N. R. Aluru, Comput. Methods Appl. Mech. Eng. 192, 2355 (2003). genRefLink(16, ’rf15’, ’10.1016 [16] G. R. Liu , Meshfree Methods: Moving Beyond the Finite Element Method ( CRC Press , USA , 2003 ) . [17] G. R. Liu and Y. T. Gu , An Introduction to Meshfree Methods and their Programming ( Springer , Berlin , 2005 ) . [18] F. Paris and J. Canas , Boundary Element Method, Fundamentals and Applications ( Oxford University Press , Oxford , 1997 ) . [19] R. Springhetti, G. Novati and M. Margonari, CMES-Comp. Model. Eng. 13, 67 (2006). genRefLink(128, ’rf19’, ’000238336600005’); [20] Z. Zhang, K. M. Liew and Y. Cheng, Eng. Anal. Bound. Elem. 32, 100 (2008). genRefLink(16, ’rf20’, ’10.1016 [21] Z. Zhang, Int. J. Comput. Methods 5, 433 (2008). [Abstract] genRefLink(128, ’rf21’, ’000283596300005’); [22] O. C. Zienkiewicz, D. W. Kelley and P. Betters, Int. J. Numer. Methods Eng. 11, 355 (1977). genRefLink(16, ’rf22’, ’10.1002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.