Paper Title:
A Hybrid Radial Boundary Node Method for Biharmonic Problems
  Abstract

The hybrid radial boundary node method is applied to solve the biharmonic problems. Based on modified variational principle, the variational formula of the biharmonic problems is established. The radial basis point interpolation is employed to approximate the boundary variables, while the domain variables are interpolated by a combination of the fundamental solution of the laplace equation and the biharmonic equation. Compared to the regular hybrid boundary node method, as the shape function has the delta function property, the boundary conditions of the original problem can be easily implemented, and the fictitious source points are not involved. Numerical examples show that this method is efficient for solving the biharmonic equation.

  Info
Periodical
Advanced Materials Research (Volumes 243-249)
Edited by
Chaohe Chen, Yong Huang and Guangfan Li
Pages
6003-6006
DOI
10.4028/www.scientific.net/AMR.243-249.6003
Citation
X. H. Wang, Y. M. Liu, Q. X. Lan, "A Hybrid Radial Boundary Node Method for Biharmonic Problems", Advanced Materials Research, Vols. 243-249, pp. 6003-6006, 2011
Online since
May 2011
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Price
$32.00
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