Convergence of a force-based hybrid method in three dimensions, with Jianfeng Lu,
Comm. Pure Appl. Math., 2013, Vol. 66, 83--108.
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Ghost force influence of a quasicontinuum method in two dimension, with Jingrun Chen ,
J. Comput. Math., 2012, Vol. 30, no. 1, 657--683.
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An efficient high order heterogeneous multiscale method for
elliptic problems, with Ruo Li and Fengyang Tang,
Multiscale Model. Simul., 2012, Vol. 10, no. 1, 259--283.
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An efficient multigrid method for molecular mechanics modeling in atomic solids, with Jingrun Chen,
Commun. Comput. Phys., 2011, Vol. 10, 70-89.
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Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients, with Rui Du,
Multiscale Model. Simul., 2010, Vol. 8, 1770-1783.
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Heterogeneous multiscale finite element method with novel numerical integration schemes, with Rui Du,
Commun. Math. Sci., 2010, Vol. 8, 863--885.
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Shear Locking in a plane elasticity problem and the enhanced assumed strain method, with Dietrich Braess and Zhongci Shi,
SIAM J. Numer. Anal., 2010, Vol. 47, 4473--4491.
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Analysis of a one-dimensional nonlocal quasicontinuum method, with Zhijian Yang,
Multiscale Model. Simul., 2009, Vol. 7, 1838--1875.
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Error estimate of force-based quasicontinuum method, Commun. Math. Sci., 2008, Vol. 5, 1089--1095.
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Cascadic multigrid methods for parabolic problems, with Qiang Du, Sci. in China Ser. A: Math. 2008, Vol. 51, 1415--1439.
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A generalized Peierls-Nabarro model for curved dislocations and
core structures of dislocation loops in Al and Cu, with Yang Xiang, He Wei and Weinan E, Acta Materialia, 2008, Vol 56, 1447--1460.
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A generalized Peierls-Nabarro model for
curved dislocations with discrete Fourier transform,with He Wei and Yang Xiang, Commun. Comput. Phys. 2008, Vol 4, 275--293.pdf
Ab initio calculation of ideal strength and phonon instability of
graphene under tension, with Fang Liu and Ju Li, Phy. Rev. B 2007, Vol. 76, 064120.
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Cauchy-Born rule and the stability of the crystalline solids: dynamic problems, with Weinan E, Acta Math. Appl. Sin. Engl. Ser., 2007, Vol. 23, 529--550.
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Cauchy-Born rule and the stability of the crystalline solids: static problems, with Weinan E, Arch. Rational Mech. Anal., 2007, Vol. 183, 241-297.
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Analysis of the heterogeneous multiscale method for parabolic homogenization problems, with Pingwen Zhang, Math. Comp., 2007, Vol. 76, 153-177.
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Analysis of some low order quadrilateral Reissner-Mindlin plate elements, with Zhongci Shi, Math. Comp., 2006, Vol. 75, 1043-1065.
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Numerical methods for multiscale elliptic problems, with Xingye Yue, J. Comput. Phys., 2006, Vol. 214, 421-445.
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Analysis of the local quasicontinuum methods, with Weinan E, In Frontiers and
Prospects of Contemporary Applied Mathematics, Tatisen Li and Pingwen Zhang eds, Higher
Education Press, World Scientific, Singapore, 2005, pp. 18-32.
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Two nonconforming quadrilateral elements for the Reissner-Mindlin plate, with Zhongci Shi, Math. Model Meth.
Appl. Sci., 2005, Vol. 15, 1503-1518.
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Analysis of the heterogeneous multiscale method for elliptic homogenization problems, with Weinan E and Pingwen Zhang, J. AMS., 2005, Vol. 18, 121-156.
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A finite element method for nearly incompressible elasticity problem, with Dietrich Braess, Math. Comp., 2005, Vol. 74, 25-52.
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Analysis of multiscale problem, with Weinan E, J. Comput. Math., 2004 Vol. 22, 210-219.pdf
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