@Article{AAMM-7-4,
author = {Zhang, Xueying and Xin, An and S., Chen, C.},
title = {Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {4},
pages = {430--440},
abstract = {<p style="text-align: justify;">The local RBFs based collocation methods (LRBFCM) is presented to
solve two-dimensional incompressible Navier-Stokes equations. In avoiding the ill-conditioned
problem, the weight coefficients of linear combination with respect to the
function values and its derivatives can be obtained by solving low-order linear systems
within local supporting domain. Then, we reformulate local matrix in the global and
sparse matrix. The obtained large sparse linear systems can be directly solved instead
of using more complicated iterative method. The numerical experiments have shown
that the developed LRBFCM is suitable for solving the incompressible Navier-Stokes
equations with high accuracy and efficiency.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m337},
url = {https://global-sci.com/article/73403/local-rbfs-based-collocation-methods-for-unsteady-navier-stokes-equations}
}