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• W2869881803 startingPage "A2087" @default.
• W2869881803 abstract "Atomistic/continuum coupling methods aim to achieve optimal balance between accuracy and efficiency. Adaptivity is the key for the efficient implementation of such methods. In this paper, we carry out a rigorous a posteriori analysis of the residual, the stability constant, and the error bound for a consistent atomistic/continuum coupling method in two dimensions. We design and implement the corresponding adaptive mesh refinement algorithm, and the convergence rate with respect to degrees of freedom is optimal compared with a priori error estimates." @default.
• W2869881803 created "2018-07-19" @default.
• W2869881803 creator A5048566044 @default.
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• W2869881803 date "2018-01-01" @default.
• W2869881803 modified "2023-10-17" @default.
• W2869881803 title "A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions" @default.
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• W2869881803 doi "https://doi.org/10.1137/17m1131106" @default.
• W2869881803 hasPublicationYear "2018" @default.
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