Coupling Atomistic, Elasticity and Boundary Element Models
arXiv:1709.059772 citationsh-index: 37
Originality Incremental advance
AI Analysis
This work provides a rigorous error analysis for a novel coupling method, relevant to computational materials science researchers seeking accurate multiscale simulations.
The paper presents a new atomistic/continuum coupling scheme using the boundary element method for improved far-field boundary conditions, with sharp error bounds established for a 2D point defect problem.
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.