Abstract
We analyze a least-squares 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 sub-space selection process for the trial space (the so-called adaptive greedy algorithm) is employed, respectively, for small and large scale problems.
| Original language | English |
|---|---|
| Pages (from-to) | 367-382 |
| Number of pages | 16 |
| Journal | Advances in Applied Mathematics and Mechanics |
| Volume | 1 |
| Issue number | 3 |
| Early online date | 22 Apr 2009 |
| Publication status | Published - Jun 2009 |
Scopus Subject Areas
- Mechanical Engineering
- Applied Mathematics
User-Defined Keywords
- Radial basis function
- adaptive greedy algorithm
- asymmetric collocation
- Kansa's method
- convergence analysis