Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect
Numerical Analysis
2018-11-22 v1 Analysis of PDEs
Abstract
We consider the geometry relaxation of an isolated point defect embedded in a homogeneous crystalline solid, within an atomistic description. We prove a sharp convergence rate for a periodic supercell approximation with respect to uniform convergence of the discrete strains.
Keywords
Cite
@article{arxiv.1811.08741,
title = {Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect},
author = {Julian Braun and Christoph Ortner},
journal= {arXiv preprint arXiv:1811.08741},
year = {2018}
}