Title
Two-grid mixed finite-element methods for nonlinear Schrödinger equations
Document Type
Article
Date of Original Version
1-1-2012
Abstract
Two-grid mixed finite element schemes are developed for solving both steady state and unsteady state 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. Copyright © 2010 Wiley Periodicals, Inc.
Publication Title, e.g., Journal
Numerical Methods for Partial Differential Equations
Volume
28
Issue
1
Citation/Publisher Attribution
Wu, Li. "Two-grid mixed finite-element methods for nonlinear Schrödinger equations." Numerical Methods for Partial Differential Equations 28, 1 (2012): 63-73. doi: 10.1002/num.20607.