Abstract
In this paper, we investigate the use of radial basis functions for solving Poisson problems with a near-singular inhomogeneous source term. The solution of the Poisson problem is first split into two parts: near-singular solution and smooth solution. A method for evaluating the near-singular particular solution is examined. The smooth solution is further split into a particular solution and a homogeneous solution. The MPS-DRM approach is adopted to evaluate the smooth solution.
| Original language | English |
|---|---|
| Pages (from-to) | 333-347 |
| Number of pages | 15 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 19 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 2003 |
Keywords
- Compactly supported radial basis functions
- Dual reciprocity method
- Method of fundamental solutions
- Near singular problems
- Particular solution
- Radial basis functions