TY - JOUR
T1 - On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations
AU - Kwok , Ting-On
AU - Ling , Leevan
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 367
EP - 382
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/8375.html
KW - Radial basis function, adaptive greedy algorithm, asymmetric collocation, Kansa's
method, convergence analysis.
AB - <p style="text-align: justify;">We analyze a least-squares &nbsp;asymmetric radial basis function
collocation method for solving the modified Helmholtz equations. In
the theoretical part, we proved the convergence of the proposed
method providing that the collocation points are sufficiently dense.
For numerical verification, direct solver and a subspace selection
process for the trial space (the so-called adaptive greedy
algorithm) is employed, respectively, for small and large scale
problems.</p>