@Article{AAMM-5-180,
author = {Zhang , HongmeiJin , Jicheng and Wang , Jianyun},
title = {Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {2},
pages = {180--193},
abstract = {
In this paper, we construct semi-discrete two-grid finite element
schemes and full-discrete two-grid finite element schemes for the
two-dimensional time-dependent Schrödinger equation. The
semi-discrete schemes are proved to be convergent with an optimal
convergence order and the full-discrete schemes, verified by a
numerical example, work well and are more efficient than the
standard finite element method.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m1206},
url = {http://global-sci.org/intro/article_detail/aamm/64.html}
}
TY - JOUR
T1 - Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation
AU - Zhang , Hongmei
AU - Jin , Jicheng
AU - Wang , Jianyun
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 180
EP - 193
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1206
UR - https://global-sci.org/intro/article_detail/aamm/64.html
KW - Schrödinger equation, two-grid method, finite element method.
AB -
In this paper, we construct semi-discrete two-grid finite element
schemes and full-discrete two-grid finite element schemes for the
two-dimensional time-dependent Schrödinger equation. The
semi-discrete schemes are proved to be convergent with an optimal
convergence order and the full-discrete schemes, verified by a
numerical example, work well and are more efficient than the
standard finite element method.
Zhang , HongmeiJin , Jicheng and Wang , Jianyun. (2013). Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation.
Advances in Applied Mathematics and Mechanics. 5 (2).
180-193.
doi:10.4208/aamm.12-m1206
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