Iterative Solution of the Helmholtz Equation By a Second-Order Method
| dc.contributor.author | Otto, Kurt | en_US |
| dc.contributor.author | Larsson, Elisabeth | en_US |
| dc.date.accessioned | 2004-05-31T22:43:12Z | |
| dc.date.available | 2004-05-31T22:43:12Z | |
| dc.date.created | 1996-12 | en_US |
| dc.date.issued | 1998-10-15 | en_US |
| dc.description.abstract | The numerical solution of the Helmholtz equation subject to nonlocal radiation boundary conditions is studied. The specific problem is discretized with a second-order accurate finite-difference method, resulting in a linear system of equations. To solve the system of equations, a preconditioned Krylov subspace method is employed. The preconditioner is based on fast transforms, and yields a direct fast Helmholtz solver for rectangulay domains. Numerical experiments for curved ducts demonstrate that the rate of convergence is high. Compared with band Gaussian elimination the preconditioned iterative method shows a significant gain in both storage requirement and arithmetic complexity. (Also cross-referenced as UMIACS-TR-96-95) | en_US |
| dc.format.extent | 1115665 bytes | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/1903/866 | |
| dc.language.iso | en_US | |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_US |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_US |
| dc.relation.isAvailableAt | Tech Reports in Computer Science and Engineering | en_US |
| dc.relation.isAvailableAt | UMIACS Technical Reports | en_US |
| dc.relation.ispartofseries | UM Computer Science Department; CS-TR-3727 | en_US |
| dc.relation.ispartofseries | UMIACS; UMIACS-TR-96-95 | en_US |
| dc.title | Iterative Solution of the Helmholtz Equation By a Second-Order Method | en_US |
| dc.type | Technical Report | en_US |