@Article{AAMM-1-3, 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/2009-AAMM-8373}, url = {https://global-sci.com/article/73690/a-truly-boundary-only-meshfree-method-applied-to-kirchhoff-plate-bending-problems} }