@Article{CiCP-15-1012,
author = {Li Guo and Yan Xu},
title = {Local Discontinuous Galerkin Methods for the 2D Simulation of Quantum Transport Phenomena on Quantum Directional Coupler},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {4},
pages = {1012--1028},
abstract = {<p style="text-align: justify;">In this paper, we present local discontinuous Galerkin methods (LDG) to
simulate an important application of the 2D stationary Schrödinger equation called
quantum transport phenomena on a typical quantum directional coupler, which frequency
change mainly reflects in $y$-direction. We present the minimal dissipation LDG
(MD-LDG) method with polynomial basis functions for the 2D stationary Schrödinger
equation which can describe quantum transport phenomena. We also give the MD-LDG
method with polynomial basis functions in $x$-direction and exponential basis
functions in $y$-direction for the 2D stationary Schrödinger equation to reduce the computational
cost. The numerical results are shown to demonstrate the accuracy and
capability of these methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.120313.100713s},
url = {http://global-sci.org/intro/article_detail/cicp/7125.html}
}