Name
Title | ||
|---|---|---|
Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method. |
Abstract | ||
|---|---|---|
We consider the solution of Poisson Dirichlet problems in simply-connected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using a Kansa-radial basis function (RBF) method with a matrix decomposition algorithm (MDA). In a similar way, we treat Poisson Dirichlet and Poisson Dirichlet---Neumann problems in doubly-connected domains. These domains are mapped onto annular domains by a conformal mapping and the resulting Poisson Dirichlet and Poisson Dirichlet---Neumann problems are solved efficiently using a Kansa-RBF MDA. Several examples demonstrating the applicability of the proposed technique are presented. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-016-0330-6 | J. Sci. Comput. |
Keywords | Field | DocType |
Conformal mapping, Radial basis functions, Poisson equation, Fast Fourier transforms, Kansa method, Primary 65N35, Secondary 65E05, 30C30 | Mathematical optimization,Discrete Poisson equation,Poisson's equation,Mathematical analysis,Uniqueness theorem for Poisson's equation,Dirichlet's principle,Dirichlet distribution,Poisson distribution,Poisson kernel,Kansa method,Mathematics | Journal |
Volume | Issue | ISSN |
71 | 3 | 1573-7691 |
Citations | PageRank | References |
1 | 0.38 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoyan Liu | 1 | 109 | 19.35 |
| C. S. Chen | 2 | 50 | 8.45 |
| Andreas Karageorghis | 3 | 204 | 47.54 |