Computing Eigenmodes of Elliptical Operators Using Radial Basis Functions
| Author(s) | Platte, Rodrigo B. | |
| Author(s) | Driscoll, Tobin A. | |
| Date Accessioned | 2005-02-16T18:00:05Z | |
| Date Available | 2005-02-16T18:00:05Z | |
| Publication Date | 2003-03-21 | |
| Abstract | Radial basis function (RBF) approximations have been successfully used to solve boundary-value problems numerically. We show that RBFs can also be used to compute eigenmodes of elliptic operators. Special attention is given to the Laplacian operator in two dimensions. We include techniques to avoid degradation of the solution near the boundaries and corner singularities. Numerical results compare favorably to basic finite element methods. | en |
| Sponsor | Supported by NSF grant DMS-0104229. | en |
| Extent | 452812 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/320 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2003-07 | |
| Keywords | radial basis functions | en |
| Keywords | eigenvalues | en |
| Keywords | elliptic operators | en |
| Keywords | numerical methods | en |
| Keywords | Laplacian | en |
| Title | Computing Eigenmodes of Elliptical Operators Using Radial Basis Functions | en |
| Type | Technical Report | en |