English

A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods

Numerical Analysis 2020-07-13 v1 Numerical Analysis

Abstract

Hybrid quantum/molecular mechanics models (QM/MM methods) are widely used in material and molecular simulations when MM models do not provide sufficient accuracy but pure QM models are computationally prohibitive. Adaptive QM/MM coupling methods feature on-the-fly classification of atoms during the simulation, allowing the QM and MM subsystems to be updated as needed. In this work, we propose such an adaptive QM/MM method for material defect simulations based on a new residual based it a posteriori error estimator, which provides both lower and upper bounds for the true error. We validate the analysis and illustrate the effectiveness of the new scheme on numerical simulations for material defects.

Keywords

Cite

@article{arxiv.2007.05260,
  title  = {A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods},
  author = {Yangshuai Wang and Huajie Chen and Mingjie Liao and Christoph Ortner and Hao Wang and Lei Zhang},
  journal= {arXiv preprint arXiv:2007.05260},
  year   = {2020}
}

Comments

37 pages, 11 figures

R2 v1 2026-06-23T17:00:44.000Z