(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods

DOI10.1137/130933873zbMath1321.82037arXiv1308.3894OpenAlexW2094594415MaRDI QIDQ5251775

Lei Zhang, Christoph Ortner, Alexander V. Shapeev

Publication date: 21 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3894

zbMATH Keywords

stabilityatomistic-to-continuum couplingquasicontinuum

Mathematics Subject Classification ID

Related Items (6)

A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions ⋮ Analysis of blended atomistic/continuum hybrid methods ⋮ Analysis of Geometrically Consistent Schemes with Finite Range Interaction ⋮ A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions ⋮ Analysis of an optimization-based atomistic-to-continuum coupling method for point defects ⋮ (In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods

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