Analysis of Geometrically Consistent Schemes with Finite Range Interaction

作者: Hongliang Li , Pingbing Ming

DOI: 10.4208/CICP.OA-2017-0013

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参考文章(34)
László Losonczi, On Some Discrete Quadratic Inequalities General Inequalities 5. pp. 73- 85 ,(1987) , 10.1007/978-3-0348-7192-1_5
Michael L. Parks, Pavel B. Bochev, Richard B. Lehoucq, Connecting Atomistic-to-Continuum Coupling and Domain Decomposition Multiscale Modeling & Simulation. ,vol. 7, pp. 362- 380 ,(2008) , 10.1137/070682848
Santiago Badia, Michael Parks, Pavel Bochev, Max Gunzburger, Richard Lehoucq, On Atomistic-to-Continuum Coupling by Blending Multiscale Modeling & Simulation. ,vol. 7, pp. 381- 406 ,(2008) , 10.1137/07069969X
C. Ortner, F. Theil, Justification of the Cauchy–Born Approximation of Elastodynamics Archive for Rational Mechanics and Analysis. ,vol. 207, pp. 1025- 1073 ,(2013) , 10.1007/S00205-012-0592-6
Jianfeng Lu, Pingbing Ming, Stability Of A Force-Based Hybrid Method With Planar Sharp Interface SIAM Journal on Numerical Analysis. ,vol. 52, pp. 2005- 2026 ,(2014) , 10.1137/130904843
E. B. Tadmor, M. Ortiz, R. Phillips, Quasicontinuum analysis of defects in solids Philosophical Magazine. ,vol. 73, pp. 1529- 1563 ,(1996) , 10.1080/01418619608243000
Philip M. Morse, Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels Physical Review. ,vol. 34, pp. 57- 64 ,(1929) , 10.1103/PHYSREV.34.57
B Houchmandzadeh, J Lajzerowicz, E Salje, Relaxations near surfaces and interfaces for first-, second- and third-neighbour interactions: theory and applications to polytypism Journal of Physics: Condensed Matter. ,vol. 4, pp. 9779- 9794 ,(1992) , 10.1088/0953-8984/4/49/006
M. Dobson, There is no pointwise consistent quasicontinuum energy Ima Journal of Numerical Analysis. ,vol. 34, pp. 1541- 1553 ,(2014) , 10.1093/IMANUM/DRT051