Volume 1, Issue 3
A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

Zhuojia Fu & Wen Chen

DOI:

Adv. Appl. Math. Mech., 1 (2009), pp. 341-352.

Published online: 2009-01

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  • 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.

  • Keywords

Boundary particle method recursive composite multiple reciprocity method Kirchhoff plate boundary-only meshfree

  • AMS Subject Headings

35J40 41A30 65N35 74K20 74S30

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COPYRIGHT: © Global Science Press

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@Article{AAMM-1-341, author = {Zhuojia Fu and Wen Chen}, title = {A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2009}, volume = {1}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aamm/8373.html} }
TY - JOUR T1 - A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems AU - Zhuojia Fu & Wen Chen JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 341 EP - 352 PY - 2009 DA - 2009/01 SN - 1 DO - http://dor.org/ UR - https://global-sci.org/intro/aamm/8373.html KW - Boundary particle method KW - recursive composite multiple reciprocity method KW - Kirchhoff plate KW - boundary-only KW - meshfree AB -

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.

Zhuojia Fu & Wen Chen. (1970). A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems. Advances in Applied Mathematics and Mechanics. 1 (3). 341-352. doi:
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