A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions

DOI10.4208/cicp.OA-2018-0169zbMath1473.65267arXiv1806.11106OpenAlexW2991223016MaRDI QIDQ5162000

Lei Zhang, Mingjie Liao, Ping Lin

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11106

zbMATH Keywords

a posteriori error estimateatomistic modelscoarse grainingatomistic-to-continuum couplingquasicontinuum method

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Statics (70C20)

Related Items (4)

Efficient Flexible Boundary Conditions for Long Dislocations ⋮ Efficient a posteriori error control of a concurrent multiscale method with sharp interface for crystalline defects ⋮ Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics ⋮ A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods

Cites Work

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