Boundary element procedure for computation of internal directional derivatives in homogeneous Laplace's problems solved by the finite element method

Engineering Analysis with Boundary Elements - Tập 148 - Trang 41-51 - 2023
Hercules de Melo Barcelos1,2, Carlos Friedrich Loeffler1, Luciano de Oliveira Castro Lara1, Webe João Mansur3
1Mechanical Engineering Department, Federal University of Espírito Santo, PPGEM/UFES, Vitória, ES CEP 29075-910, Brazil
2National Institute of Metrology, Quality, and Technology, INMETRO, Duque de Caxias, RJ CEP 25250-020, Brazil
3Department COPPE, LAMEMO, Modelling Methods in Engineering and Geophysics Laboratory, Civil Engineering, Federal University of Rio de Janeiro, Av. Pedro Calmon s/n, Technological Center, Ilha do Fundão, Rio de Janeiro CEP 21941-596, Brazil

Tài liệu tham khảo

Pessolani, 2002, An hp-adaptive hierarchical formulation for the boundary element method applied to elasticity in two dimensions, J Braz Soc Mech Sci, 24, 23, 10.1590/S0100-73862002000100001 Kita, 2001, Error estimation and adaptive mesh refinement in boundary element method, an overview, Eng Anal Bound Elem, 25, 479, 10.1016/S0955-7997(01)00018-2 Potter, 1980 Loeffler, 2015, Direct use of radial basis interpolation functions for modelling source terms with the boundary element method, Eng Anal Bound Elem, 50, 97, 10.1016/j.enganabound.2014.07.007 Barcelos, 2019, The direct interpolation boundary element method applied to smoothly inhomogeneous Laplace's problems, Eng Anal Bound Elem, 105, 155, 10.1016/j.enganabound.2019.04.014 Brebbia, 1992 Buhmann, 2003 Bathe, 1996 Kythe, 2004 Wang, 2002, A point interpolation meshless method based on radial basis functions, Int J Numer Methods Eng, 54, 1623, 10.1002/nme.489 Soares, 2004, Iterative coupling of BEM and FEM for nonlinear dynamic analyses, Comput Mech, 34, 67 Brebbia, 1980 Loeffler, 2011, A recursive application of the integral equation in the boundary element method, Eng Anal Bound Elem, 1, 77, 10.1016/j.enganabound.2010.05.012 Ramos, 2017, A boundary element method recursive procedure applied to Poisson's problems, Eng Anal Bound Elem, 82, 104, 10.1016/j.enganabound.2017.06.003 Freitas, 2015, Performance evaluation of the boundary element recursive procedure in elastic problems, J Eng Math, 1, 1573 Loeffler, 2013, Performance of the recursive procedure in elastic problems modeled by the boundary element method, 95 Reddy, 2005 Brebbia, 1984 Zienkiewcz, 2013 Ingber, 1990, Solution of potential problems using combinations of the regular and derivative boundary integral equations, Appl Math Modell, 14, 536, 10.1016/0307-904X(90)90186-9 Telles, 1993, Hyper-singular formulation for 2-D potential problems