Coupling Atomistic, Elasticity and Boundary Element Models

A. S. Dedner; C. Ortner; H. Wu

Coupling Atomistic, Elasticity and Boundary Element Models

Numerical Analysis 2017-09-27 v2

Authors: A. S. Dedner , C. Ortner , H. Wu

Abstract

We formulate a new atomistic/continuum (a/c) coupling scheme that employs the boundary element method (BEM) to obtain an improved far-field boundary condition. We establish sharp error bounds in a 2D model problem for a point defect embedded in a homogeneous crystal.

Keywords

finite element methods finite element method port-hamiltonian systems

Cite

@article{arxiv.1709.05977,
  title  = {Coupling Atomistic, Elasticity and Boundary Element Models},
  author = {A. S. Dedner and C. Ortner and H. Wu},
  journal= {arXiv preprint arXiv:1709.05977},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1607.05936

Related papers

View all related →

Materials Science · Physics

A Dynamic Atomistic-Continuum Method for the Simulation of Crystalline Materials