Work

Atomistic/Continuum Blending with Ghost Force Correction

Year: 2016

Type: article

Abstract: We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an energy-based atomistic/continuum coupling scheme which has, for a range of benchmark problems, the same convergence rates as optimal force-based coupling schemes. We present the construction of this new scheme, numerical results exploring its accuracy in comparison with established schemes, and a rigorous error analysis for an instructive special case.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/15m1020241

Authors: Christoph Ortner, Lei Zhang

Institutions: Shanghai Jiao Tong University, University of Warwick

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Leverhulme Trust, National Natural Science Foundation of China, Engineering and Physical Sciences Research Council, European Research Council

Awards: G3680899814, G6237782304, G6701505053