Iterative solution of the quasicontinuum equilibrium equations with continuation
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Publication:618400
DOI10.1007/s10915-008-9208-6zbMath1203.65085arXiv0812.4843OpenAlexW2107837269MaRDI QIDQ618400
Mitchell Luskin, Matthew Dobson
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.4843
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Related Items (7)
Linear Stationary Iterative Methods for the Force-Based Quasicontinuum Approximation ⋮ A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods ⋮ Generalized bridging domain method for coupling finite elements with discrete elements ⋮ Finite element analysis of Cauchy-Born approximations to atomistic models ⋮ Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions ⋮ Iterative methods for the force-based quasicontinuum approximation: analysis of a 1D model problem ⋮ Stability, instability, and error of the force-based quasicontinuum approximation
Cites Work
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- Analysis of a quasicontinuum method in one dimension
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- Convergence Analysis of a Quasi‐Continuum Approximation for a Two‐Dimensional Material Without Defects
- Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
- An analysis of the quasicontinuum method
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