Volume 6, Issue 5
Stability of Atomic Simulations with Matching Boundary Conditions

Shaoqiang Tang and Songsong Ji

10.4208/aamm.2013.m360

Adv. Appl. Math. Mech., 6 (2014), pp. 539-551.

Preview Full PDF BiBTex 2 238
  • Abstract

We explore the stability of matching boundary conditions in one space dimension, which were 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.

  • History

Published online: 2014-06

  • AMS Subject Headings

70-08, 65L99, 34B60

  • Cited by