Convergence of a force-based hybrid method for atomistic and continuum models in three dimension (with J.F. Lu),
Comm. Pure Appl. Math., to appear
pdf
An efficient high order heterogeneous multiscale method for
elliptic problems (with R. Li and F.Y. Tang),
Multiscale Model. Simul., 2012, Vol. 10, no. 1, 259--283.
pdf
An efficient multigrid method for molecular mechanics modeling in atomic solids
(with J.R. Chen),
Commun. Comput. Phys., 2011, Vol. 10, 70-89.
pdf
Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients (with R. Du),
Multiscale Model. Simul., 2010, Vol. 8, 1770-1783.
pdf
Heterogeneous multiscale finite element method with novel numerical integration schemes (with R. Du),
Commun. Math. Sci., 2010, Vol. 8, 863--885.
pdf
Shear Locking in a plane elasticity problem and the enhanced assumed strain method (with D. Braess and Z.-C. Shi),
SIAM J. Numer. Anal., 2010, Vol. 47, 4473--4491.
pdf
Analysis of a one-dimensional nonlocal quasicontinuum method (with Zhijian Yang),
Multiscale Model. Simul., 2009, Vol. 7, 1838--1875.
pdf
Error estimate of force-based quasicontinuum method, Commun. Math. Sci., 2008, Vol. 5, 1089--1095.
pdf
Cascadic multigrid methods for parabolic problems (with Q. Du),Sci. in China Ser. A: Math. 2008, Vol. 51, 1415--1439.
pdf
A generalized Peierls-Nabarro model for curved dislocations and
core structures of dislocation loops in Al and Cu (with Yang Xiang, He Wei and W. E), Acta Materialia, 2008, Vol 56, 1447--1460.
pdf
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 F. Liu and J. Li), Phy. Rev. B 2007, Vol. 76, 064120.
pdf
Cauchy-Born rule and the stability of the crystalline solids: dynamic problems (with W. E), Acta Math. Appl. Sin. Engl. Ser., 2007, Vol. 23, 529--550.
pdf
Cauchy-Born rule and the stability of the crystalline solids: static problems (with W. E), Arch. Rational Mech. Anal., 2007, Vol. 183, 241-297.
pdf
Analysis of the heterogeneous multiscale method for parabolic homogenization problems
(with P.-W. Zhang), Math. Comp., 2007, Vol. 76, 153-177.
pdf
Analysis of some low order quadrilateral Reissner-Mindlin plate elements
(with Z.-C. Shi), Math. Comp., 2006, Vol. 75, 1043-1065.
pdf
Numerical methods for multiscale elliptic problems
(with Xingye Yue), J. Comput. Phys., 2006, Vol. 214, 421-445.
pdf
Analysis of the local quasicontinuum methods
(with W. 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.
pdf
Two nonconforming quadrilateral elements for the Reissner-Mindlin plate
(with Z.-C. Shi), Math. Model Meth.
Appl. Sci., 2005, Vol. 15, 1503-1518.
pdf
Analysis of the heterogeneous multiscale method for elliptic homogenization problems
(with W. E and P.-W. Zhang), J. AMS., 2005, Vol. 18, 121-156.
pdf
A finite element method for nearly incompressible elasticity problem
(with D. Braess), Math. Comp., 2005, Vol. 74, 25-52.
pdf
Analysis of multiscale problem (with W. E), J. Comput. Math., 2004 Vol. 22, 210-219.pdf
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