A Class of Sparse Spectral Operators for Inversion of Powers of the Laplacian in N Dimensions |
| |
| Authors: | Glenn R. Ierley |
| |
| Affiliation: | (1) Institute for Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California, San Diego 9500 Gilman Drive, La Jolla, 92093-0225 |
| |
| Abstract: | For inversion of the Laplacian subject to Dirichlet boundary conditions and, more generally, for the kth power of the Laplacian subject to boundary conditions on the function and its first k – 1 derivatives in the normal coordinate, there is a sparse symmetric, well-conditioned, projection of the operator that results from an expansion in associated Legendre polynomials. |
| |
| Keywords: | Poisson equation biharmonic equation Chebyshev polynomials |
| 本文献已被 SpringerLink 等数据库收录！ |
|
