Title

Two-grid strategy for unsteady state nonlinear Schrödinger equations

Document Type

Article

Date of Original Version

5-10-2011

Abstract

Two-grid mixed finite element schemes are developed for solving nonlinear Schrödinger equations. The schemes use discretizations based on a mixed finite-element method. The two-grid approach yields iterative procedures for solving the nonlinear discrete equations. The idea is to relegate all of the Newton-like iterations to grids much coarser than the final one, with no loss in order of accuracy. Numerical tests are performed. © 2011 Academic Publications.

Publication Title

International Journal of Pure and Applied Mathematics

Volume

68

Issue

4

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