Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation

Abstract The main aim of this paper is to apply a low order nonconforming EQ1rot $\mathit{EQ}_{1}^{\mathrm{rot}}$ finite element to solve the nonlinear Schrödinger equation. Firstly, the superclose property in the broken H1 $H^{1}$-norm for a backward Euler fully-discrete scheme is studied, and the...

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Bibliographic Details
Main Authors: Chao Xu, Jiaquan Zhou, Dongyang Shi, Houchao Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1093-9