@article{39201,
  keywords = {multiscale, plasticity, modeling, lifting, restriction, closure-on-demand, gap-tooth},
  author = {C. W. Gear and J. Li and I. G. Kevrekidis},
  title = {The gap-tooth method in particle simulations},
  abstract = { <p>We explore the gap-tooth method for multiscale modeling of systems represented by microscopic physics-based simulators, when coarse-grained evolution equations are not available in closed form. A biased random walk particle simulation, motivated by the viscous Burgers equation, serves as an example. We construct macro-to-micro (lifting) and micro-to-macro (restriction) operators, and drive the coarse time-evolution by particle simulations in appropriately coupled microdomains ("teeth") separated by large spatial gaps. A macroscopically interpolative mechanism for communication between the teeth at the particle level is introduced. The results demonstrate the feasibility of a "closure-on-demand" approach to solving some hydrodynamics problems. (C) 2003 Elsevier B.V. All rights reserved.</p> },
  year = {2003},
  journal = {Physics Letters A},
  volume = {316},
  pages = {190-195},
  month = {09/2003},
  isbn = {0375-9601},
  language = {English},
}