Year: 2009
Author: Zhuojia Fu, Wen Chen
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 341–352
Abstract
The boundary particle method (BPM) is a truly boundary-only collocation scheme, whose basis function is the high-order nonsingular general solution or singular fundamental solution, based on the recursive composite multiple reciprocity method (RC-MRM). The RC-MRM employs the high-order composite differential operator to solve a much wider variety of inhomogeneous problems with boundary-only collocation nodes while significantly reducing computational cost via a recursive algorithm. In this study, we simulate the Kirchhoff plate bending problems by the BPM based on the RC-MRM. Numerical results show that this approach produces accurate solutions of plates subjected to various loadings with boundary-only discretization.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8373
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 341–352
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Boundary particle method recursive composite multiple reciprocity method Kirchhoff plate boundary-only meshfree.