Name
Abstract | ||
|---|---|---|
We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These algorithms exploit the symmetry of the domains of the problems under consideration which lead to coefficient matrices possessing block circulant structures. In particular, we consider the Poisson equation, the inhomogeneous biharmonic equation, and the inhomogeneous Cauchy-Navier equations of elasticity. Numerical examples demonstrating the applicability of the proposed algorithms are presented. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s11075-017-0443-5 | Numerical Algorithms |
Keywords | Field | DocType |
Kansa method, Radial basis functions, Poisson equation, Biharmonic equation, Cauchy-Navier equations, Matrix decomposition algorithms, Primary 65N35, Secondary 65N22 | Boundary value problem,Linear system,Poisson's equation,Matrix (mathematics),Mathematical analysis,Matrix decomposition,Algorithm,Circulant matrix,Kansa method,Biharmonic equation,Mathematics | Journal |
Volume | Issue | ISSN |
79 | 2 | 1017-1398 |
Citations | PageRank | References |
1 | 0.38 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Karageorghis | 1 | 204 | 47.54 |
| Malgorzata A. Jankowska | 2 | 12 | 4.34 |
| C. S. Chen | 3 | 118 | 14.18 |