A posteriori error control for a quasi-continuum approximation of a periodic chain

DOI10.1093/imanum/drt011zbMath1294.81012arXiv1211.3346OpenAlexW1998801820MaRDI QIDQ5495661

Christoph Ortner, Hao Wang

Publication date: 6 August 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3346

zbMATH Keywords

a posteriori error controlquasicontinuum methodatomistic/continuum coupling

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Atomic physics (81V45) Statistical mechanics of solids (82D20)

Related Items (6)

A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions ⋮ Efficient a posteriori error control of a concurrent multiscale method with sharp interface for crystalline defects ⋮ Analysis of the Residual-Type and the Gradient Recovery-Type a Posteriori Error Estimators for a Consistent Atomistic-to-Continuum Coupling Method in One-Dimension ⋮ Adaptive QM/MM coupling for crystalline defects ⋮ A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions ⋮ A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods

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