Year: 2015
Author: Jicheng Jin, Ning Wei, Hongmei Zhang
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 146–157
Abstract
In this paper, some two-grid finite element schemes are constructed for solving the nonlinear Schrödinger equation. With these schemes, the solution of the original problem is reduced to the solution of the same problem on a much coarser grid together with the solutions of two linear problems on a fine grid. We have shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1409-m4323
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 146–157
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear Schrödinger equation Finite element method Two-grid