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Multigrid techniques for nonlinear eigenvalue probems: solutions of a nonlinear schroedinger eigenvalue problem in 2d and 3d
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Taasan, Shlomo Costiner, Sorin |
| Copyright Year | 1994 |
| Description | This paper presents multigrid (MG) techniques for nonlinear eigenvalue problems (EP) and emphasizes an MG algorithm for a nonlinear Schrodinger EP. The algorithm overcomes the mentioned difficulties combining the following techniques: an MG projection coupled with backrotations for separation of solutions and treatment of difficulties related to clusters of close and equal eigenvalues; MG subspace continuation techniques for treatment of the nonlinearity; an MG simultaneous treatment of the eigenvectors at the same time with the nonlinearity and with the global constraints. The simultaneous MG techniques reduce the large number of self consistent iterations to only a few or one MG simultaneous iteration and keep the solutions in a right neighborhood where the algorithm converges fast. |
| File Size | 2061542 |
| Page Count | 48 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950010481 |
| Archival Resource Key | ark:/13960/t7qp1292b |
| Language | English |
| Publisher Date | 1994-11-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Nonlinear Equations Approximation Algorithms Continuity Mathematics Multigrid Methods Iterative Solution Eigenvalues Nonlinearity Eigenvectors Orthogonality Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
