Analysis of Geometrically Consistent Schemes with Finite Range Interaction. (31st October 2017)

• Record Type: Journal Article
• Authors: Li, Hongliang; Ming, Pingbing
• Is Part Of: Communications in computational physics. Volume 22:Number 5(2017:Nov.)
• Page Start: 1333
• Page End: 1361
• Publication Date: 2017-10-31
• Subjects: 65N15, -- 65N30; Quasicontinuum method, -- atomic-to-continuum coupling, -- stability, -- finite range interactions; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2017-0013
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: We analyze the geometrically consistent schemes proposed by E. Lu and Yang [6] for one-dimensional problem with finite range interaction. The existence of the reconstruction coefficients is proved, and optimal error estimate is derived under sharp stability condition. Numerical experiments are performed to confirm the theoretical results.