TY - JOUR
T1 - Local Discontinuous Galerkin Methods for the 2D Simulation of Quantum Transport Phenomena on Quantum Directional Coupler
JO - Communications in Computational Physics
VL - 4
SP - 1012
EP - 1028
PY - 2014
DA - 2014/04
SN - 15
DO - http://doi.org/10.4208/cicp.120313.100713s
UR - https://global-sci.org/intro/article_detail/cicp/7125.html
KW - 
AB - <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>