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 - <p style="text-align: justify;">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.</p>