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  • 标题:On the Completeness of the Set of Radial Trefftz Functions Used by the BKM in the Solution of Viscoelasticity Problems
  • 本地全文:下载
  • 作者:Alfredo Canelas ; Berardi Sensale
  • 期刊名称:Mecánica Computacional
  • 印刷版ISSN:2591-3522
  • 出版年度:2010
  • 卷号:XXIX
  • 期号:21
  • 出版社:CIMEC-INTEC-CONICET-UNL
  • 摘要:The Boundary Knot Method (BKM) is a truly meshless, RBF-based method which has been used to solve many problems in mathematical physics and engineering, like the Helmholtz problem, plate vibration, Poisson, convection-diffusion, eigenanalysis in Acoustics, etc. In a recent work, the BKM has been applied to two-dimensional harmonic elasticity and viscoelasticity problems. In this paper, a new BKM representation is obtained by means of the Cauchy-Kovalevski-Somigliana solution of the displacements. The completeness of the BKM representations for elasticity and viscoelasticity problems is studied theoretically and numerically.
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