Name
Abstract | ||
|---|---|---|
A spectral collocation method with collocation at the Legendre Gauss points is discussed for solving the Helmholtz equation -?u+?(x,y)u=f(x,y) on a rectangle with the solution u subject to inhomogeneous Robin boundary conditions. The convergence analysis of the method is given in the case of u satisfying Dirichlet boundary conditions. A matrix decomposition algorithm is developed for the solution of the collocation problem in the case the coefficient ?(x,y) is a constant. This algorithm is then used in conjunction with the preconditioned conjugate gradient method for the solution of the spectral collocation problem with the variable coefficient ?(x,y). |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1023/B:NUMA.0000040056.52424.49 | Numerical Algorithms |
Keywords | DocType | Volume |
Helmholtz equation,boundary conditions,spectral collocation,Legendre Gauss points,error bound,matrix decomposition,eigenvalue problem | Journal | 36 |
Issue | ISSN | Citations |
3 | 1017-1398 | 9 |
PageRank | References | Authors |
0.85 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernard Bialecki | 1 | 114 | 18.61 |
| Andreas Karageorghis | 2 | 204 | 47.54 |