Paper Info
Title
The radial basis function-differential quadrature method for elliptic problems in annular domains.
Abstract
We employ a radial basis function (RBF) - differential quadrature (DQ) method for the numerical solution of elliptic boundary value problems in annular domains. With an appropriate selection of collocation points, for any choice of RBF, both the coefficient and right hand side matrices in the systems appearing in this discretization possess block circulant structures. These linear systems can thus be solved efficiently using matrix decomposition algorithms (MDAs) and fast Fourier transforms (FFTs). In particular, we consider problems governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous Cauchy–Navier equations of elasticity. In addition to its simplicity, the proposed method can both achieve high accuracy and solve large-scale problems. The feasibility of the proposed techniques is illustrated by several numerical examples.
Year
DOI
Venue
2020
10.1016/j.cam.2019.05.027
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
primary,secondary
Nyström method,Discretization,Boundary value problem,Poisson's equation,Matrix (mathematics),Mathematical analysis,Matrix decomposition,Quadrature (mathematics),Biharmonic equation,Mathematics
Journal
Volume
ISSN
Citations 
363
0377-0427
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Daniel W. Watson100.34
Andreas Karageorghis220447.54
C. S. Chen311814.18