TY - JOUR
T1 - Stability of Atomic Simulations with Matching Boundary Conditions
AU - Tang , Shaoqiang
AU - Ji , Songsong
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 539
EP - 551
PY - 2014
DA - 2014/06
SN - 6
DO - http://doi.org/10.4208/aamm.2013.m360
UR - https://global-sci.org/intro/article_detail/aamm/34.html
KW - Stability, matching boundary condition, atomic simulation.
AB - <p style="text-align: justify;">We explore the stability of matching boundary conditions in one
space dimension, which was proposed recently for atomic simulations
(Wang and Tang, Int. J. Numer. Mech. Eng., 93 (2013), pp. 1255-1285).
For a finite segment of the linear harmonic chain, we
construct explicit energy functionals that decay along with time.
For a nonlinear atomic chain with its nonlinearity vanished around
the boundaries, an energy functional is constructed for the first
order matching boundary condition. Numerical verifications are also
presented.</p>