2010
DOI: 10.1016/j.enganabound.2009.10.006
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CV dual reciprocity BEM for transient flow in blocky systems with singular points and lines of discontinuities

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Cited by 12 publications
(9 citation statements)
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“…In this case, all integrals involved in expressions (10), (19), (21) can be evaluated analytically. Therefore, the proposed technique gives the opportunity to solve the selected problems using analytical expressions for the integrals.…”
Section: Numerical Solutionmentioning
confidence: 99%
“…In this case, all integrals involved in expressions (10), (19), (21) can be evaluated analytically. Therefore, the proposed technique gives the opportunity to solve the selected problems using analytical expressions for the integrals.…”
Section: Numerical Solutionmentioning
confidence: 99%
“…Motivated by the analysis in the works of Ang and Dobroskok and Linkov, we introduce the substitution ufalse(x1,x2false)=vfalse(x1,x2false)+wfalse(x1,x2false), where v is chosen to be related to u by truei=12truej=12()kijfalse(0false)2vxixj+xi()kijfalse(1false)uxj=q1false(x1,x2false)uq2false(x1,x2false), and w satisfies the constant coefficient linear partial differential equation truei=12truej=12kijfalse(0false)2wxixj=0. …”
Section: Solution Approachmentioning
confidence: 99%
“…are, in general, functions that vary smoothly with x 1 and x 2 in the solution domain. Motivated by the analysis in the works of Ang 18 and Dobroskok and Linkov, 22 we introduce the substitution…”
Section: Reformulation Of the Partial Differential Equationsmentioning
confidence: 99%
“…For example, Shiah and Shi [1] apply the BEM to solve the the heat conduction across an interface crack=defect filled with a thinlayer of interstitial medium between dissimilar anisotropic materials, Paulino and Sutradhar [2] employ the dual BEM with the Galerkin approach for the steady-state heat conduction crack problem, Dobroskok and Linkov [3] use a complex-variable and dual-reciprocity BEM for the thermal potential crack problem, Ekhlakov et al [4] analyze two-dimensional, isotropic, continuously nonhomogeneous and crack functionally graded materials subjected to a thermal shock by means of boundarydomain integral equations, and so on. However, these BEMs, like the direct boundary element method, have their own drawbacks, such as singular integrals, the asymmetric coefficient matrix, the boundary layer effect, and the ''vertex question.''…”
Section: Introductionmentioning
confidence: 99%