| タイトル | Multigrid techniques for nonlinear eigenvalue probems: Solutions of a nonlinear Schroedinger eigenvalue problem in 2D and 3D |
| 本文（外部サイト） | http://hdl.handle.net/2060/19950010481 |
| 著者（英） | Costiner, Sorin; Taasan, Shlomo |
| 著者所属（英） | Institute for Computer Applications in Science and Engineering |
| 発行日 | 1994-11-01 |
| 言語 | eng |
| 内容記述 | 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. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 95N16896
NASA-CR-194999
NAS 1.26:194999
ICASE-94-91 |
| 権利 | No Copyright |
