Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Analysis of a force-based quasicontinuum approximation - MaRDI portal

Analysis of a force-based quasicontinuum approximation

From MaRDI portal
Publication:5447492

DOI10.1051/m2an:2007058zbMath1140.74006arXivmath/0611543OpenAlexW2114291880MaRDI QIDQ5447492

Mitchell Luskin, Matthew Dobson

Publication date: 6 March 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611543




Related Items

Force-based atomistic/continuum blending for multilatticesA PRIORI ERROR ESTIMATES FOR ENERGY-BASED QUASICONTINUUM APPROXIMATIONS OF A PERIODIC CHAINLinear Stationary Iterative Methods for the Force-Based Quasicontinuum ApproximationA Computational and Theoretical Investigation of the Accuracy of Quasicontinuum MethodsGoal-oriented adaptive mesh refinement for the quasicontinuum approximation of a Frenkel-Kontorova modelMultiscale modeling of complex dynamic problems: an overview and recent developmentsA homogenization analysis of the field theoretic approach to the quasi-continuum methodMultiresolution molecular mechanics: a unified and consistent framework for general finite element shape functionsAccuracy of quasicontinuum approximations near instabilitiesIterative solution of the quasicontinuum equilibrium equations with continuationMultiscale coupling using a finite element framework at finite temperatureFinite element analysis of Cauchy-Born approximations to atomistic modelsA priori error analysis of two force-based atomistic/continuum models of a periodic chainQuadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactionsMultiresolution molecular mechanics: convergence and error structure analysisIterative methods for the force-based quasicontinuum approximation: analysis of a 1D model problemA priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1DAtomistic/Continuum Blending with Ghost Force CorrectionStability, instability, and error of the force-based quasicontinuum approximationAnalysis of a quasicontinuum method in one dimensionAnalysis of an optimization-based atomistic-to-continuum coupling method for point defectsFinite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approachesTheory-based benchmarking of the blended force-based quasicontinuum methodAn analysis of the effect of ghost force oscillation on quasicontinuum error



Cites Work