Ming, Pingbing

Position: Professor at Lsec, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences

Address: No. 55, East Road Zhong-Guan-Cun, Beijing, 100190, China

Office: Room 726, South Building of AMSS

Email: mpb at lsec dot cc dot ac dot cn

Phone: 86-10-82541926

Curriculum Vitae

Research Interests

  • Multiscale modeling and simulation
  • Numerical homogenization and optimal design
  • Numerical analysis and scientific computing

  • Selected Publications

    1. A concurrent global-local numerical method for multiscale pdes, with Yufang Huang and Jianfeng Lu, J. Sci. Comput., 2018, to appear. pdf
    2. Analysis of geometrically consistent schemes with finite range interaction, with Hongliang Li, Commun. Comput. Phys., 2017, Vol. 22, 1333--1361. pdf
    3. Two robust nonconforming H2-elements for a linear strain gradient elasticity, with Hongliang Li and Zhong-ci Shi, Numer. Math., 2017, Vol. 137, 691--711. pdf
    4. A multiscale finite element method for oscillating Neumann problem on rough domain, with Xianmin Xu, Multiscale Model. Simul., 2016, Vol. 14, 1279--1300. pdf
    5. A study on the quasicontinuum approximations of a one-dimensional fractural model, with Xiantao Li, Multiscale Model. Simul., 2014, Vol. 12, 1379--1400. pdf
    6. Convergence of a force-based hybrid method with planar sharp interface, with Jianfeng Lu, SIAM J. Numer. Anal., 2014, Vol. 52, 2005--2026. pdf supplementary materials can be found in pdf
    7. On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension, with Xiantao Li, Commun. Comput. Phys., 2014, Vol. 15, 647--676. pdf
    8. A constrained Cauchy-Born elasticity accelerated multigrid method for nanoindentation, with Jingrun Chen and Jerry Z. Yang, Commun. Comput. Phys., 2014, Vol. 15, 470--486. pdf
    9. The effect of ghost forces for a quasicontinuum method in three dimension, with Long Cui, Sci. in China Ser. A: Math., 2013, Vol. 56, 2571--2589. pdf
    10. Convergence of a force-based hybrid method in three dimensions, with Jianfeng Lu, Comm. Pure Appl. Math., 2013, Vol. 66, 83--108. pdf
    11. Ghost force influence of a quasicontinuum method in two dimension, with Jingrun Chen , J. Comput. Math., 2012, Vol. 30, 657--683. pdf
    12. An efficient high order heterogeneous multiscale method for elliptic problems, with Ruo Li and Fengyang Tang, Multiscale Model. Simul., 2012, Vol. 10, 259--283. pdf
    13. An efficient multigrid method for molecular mechanics modeling in atomic solids, with Jingrun Chen, Commun. Comput. Phys., 2011, Vol. 10, 70-89. pdf
    14. Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients, with Rui Du, Multiscale Model. Simul., 2010, Vol. 8, 1770-1783. pdf
    15. Heterogeneous multiscale finite element method with novel numerical integration schemes, with Rui Du, Commun. Math. Sci., 2010, Vol. 8, 863--885. pdf
    16. 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. pdf
    17. Analysis of a one-dimensional nonlocal quasicontinuum method, with Zhijian Yang, Multiscale Model. Simul., 2009, Vol. 7, 1838--1875. pdf
    18. Error estimate of force-based quasicontinuum method, Commun. Math. Sci., 2008, Vol. 5, 1089--1095. pdf
    19. Cascadic multigrid methods for parabolic problems, with Qiang Du, Sci. in China Ser. A: Math. 2008, Vol. 51, 1415--1439. pdf
    20. 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. pdf
    21. 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
    22. 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. pdf
    23. 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. pdf
    24. Cauchy-Born rule and the stability of the crystalline solids: static problems, with Weinan E, Arch. Rational Mech. Anal., 2007, Vol. 183, 241-297. pdf
    25. Analysis of the heterogeneous multiscale method for parabolic homogenization problems, with Pingwen Zhang, Math. Comp., 2007, Vol. 76, 153-177. pdf
    26. Analysis of some low order quadrilateral Reissner-Mindlin plate elements, with Zhongci Shi, Math. Comp., 2006, Vol. 75, 1043-1065. pdf
    27. Numerical methods for multiscale elliptic problems, with Xingye Yue, J. Comput. Phys., 2006, Vol. 214, 421-445. pdf
    28. 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. pdf
    29. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate, with Zhongci Shi, Math. Model Meth. Appl. Sci., 2005, Vol. 15, 1503-1518. pdf
    30. Analysis of the heterogeneous multiscale method for elliptic homogenization problems, with Weinan E and Pingwen Zhang, J. AMS., 2005, Vol. 18, 121-156. pdf
    31. A finite element method for nearly incompressible elasticity problem, with Dietrich Braess, Math. Comp., 2005, Vol. 74, 25-52. pdf
    32. Analysis of multiscale problem, with Weinan E, J. Comput. Math., 2004 Vol. 22, 210-219.pdf

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    Last updated on 03/01/2018