Year: 2021
Author: Fubiao Lin, Yaxiang Li, Jun Zhang
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 723–739
Abstract
In this article, we develop the semi-discrete and fully discrete averaging local discontinuous Galerkin method to solve the well-known Schrödinger equation, in which space is discretized
by the averaging local discontinuous Galerkin (ADG) method, and the time is discretized by
Crank-Nicolson approach. Energy and mass conservative property of both schemes are proved.
These schemes are shown to be unconditionally energy stable, and the error estimates are rigorously proved. Some numerical examples are performed to demonstrate the accuracy numerically.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-19947
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 723–739
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Averaging local discontinuous Galerkin method Schrödinger equation energy conservative mass conservative error analysis.