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Positive Definiteness of the Blended Force-Based Quasicontinuum Method

โœ Scribed by Li, Xingjie Helen; Luskin, Mitchell; Ortner, Christoph


Book ID
118212093
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
306 KB
Volume
10
Category
Article
ISSN
1540-3459

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Iterative methods for the force-based qu
โœ M. Dobson; M. Luskin; C. Ortner ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 787 KB

Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model. For this reason, and due to their algorithmic simplicity, force-based coupling methods have become a popular class of atomistic-c