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