Accession Number : ADA289506

Title :   Multigrid Techniques for Nonlinear Eigenvalue Problems; Solutions of a Nonlinear Schroedinger Eigenvalue Problem in 2D and 3D.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Costiner, Sorin ; Ta'asan, Shlomo

PDF Url : ADA289506

Report Date : NOV 1994

Pagination or Media Count : 41

Abstract : This paper presents MG techniques for nonlinear 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 the 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 selfconsistent iterations to only a few or one MG simultaneous iteration and keep the solutions in a right neighborhood where the algorithm converges fast.

Descriptors :   *ALGORITHMS, *GRIDS, EIGENVECTORS, EIGENVALUES, NONLINEAR SYSTEMS, SOLUTIONS(GENERAL), SEPARATION, NONLINEAR ANALYSIS, SCHRODINGER EQUATION.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE