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- W4297974658 abstract "We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based quasicontinuum approximation and the quasi-nonlocal quasicontinuum approximation. The optimal-order error estimates for the quasi-nonlocal quasicontinuum approximation are given for all strains up to the continuum limit strain for fracture. The analysis is based on an explicit treatment of the coupling error at the atomistic to continuum interface, combined with an analysis of the error due to atomistic and continuum schemes using the stability of the quasicontinuum approximation." @default.
- W4297974658 created "2022-10-01" @default.
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- W4297974658 date "2009-01-29" @default.
- W4297974658 modified "2023-09-29" @default.
- W4297974658 title "An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation" @default.
- W4297974658 doi "https://doi.org/10.48550/arxiv.0901.4745" @default.
- W4297974658 hasPublicationYear "2009" @default.
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