Positive Definiteness of the Blended Force-Based Quasicontinuum Method

DOI10.1137/110859270zbMath1257.82107arXiv1112.2528OpenAlexW2027131615MaRDI QIDQ4903664

Christoph Ortner, Xingjie Helen Li, Mitchell Luskin

Publication date: 24 January 2013

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

Full work available at URL: https://arxiv.org/abs/1112.2528

zbMATH Keywords

stabilityblendingatomistic-to-continuumquasicontinuum

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Applications to the sciences (65Z05) Statics (70C20) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (10)

Force-based atomistic/continuum blending for multilattices ⋮ Analysis of blended atomistic/continuum hybrid methods ⋮ Energy-based atomistic-to-continuum coupling without ghost forces ⋮ Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice ⋮ A one-dimensional symmetric-force-based blending method for atomistic-to-continuum coupling ⋮ Development of an Optimization-Based Atomistic-to-Continuum Coupling Method ⋮ Discrete-to-continuum limits of long-range electrical interactions in nanostructures ⋮ Analysis of an optimization-based atomistic-to-continuum coupling method for point defects ⋮ Theory-based benchmarking of the blended force-based quasicontinuum method ⋮ (In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods

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