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 method for multiscale PDE
  • Numerical analysis and scientific computing

    • Selected Publications

    1. Error estimate of multiscale finite element method for periodic media revisted, with Siqi Song, Multiscale Model Simul., 2023, to appear pdf
    2. A deep learning method for computing eigenvalues of the fractional SchrĄ§odinger Operator, with Yixiao Guo, J. Syst. Sci. Complex., 2023, to appear pdf
    3. Specht triangles approximation of large bending isometries, with Xiang Li, Ann. Appl. Math.., 2023, to appear pdf
    4. Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems, with Yulei Liao and Yun Xu, J. Sci. Comput., 2023, Vol. 95, no. 4, pdf
    5. A new function space from Barron class and application to neural network approximation, with Yan Meng, Commun. Comput. Phys., 2022, Vol. 32, 1361-1400. pdf
    6. A Nitsche hybrid multiscale method with non-matching grids, with Siqi Song, J. Sci. Comput., 2022, Vol. 91, No. 44. pdf
    7. Deep Nitsche method: deep Ritz-method with essential boundary conditions, with Yulei Liao, Commun. Comput. Phys., 2021, Vol. 29, 1365-1384. pdf
    8. H2-Korn's inequality and the nonconforming elements for the strain gradient elastic model, with Hongliang Li and Huiyu Wang, J. Sci. Comput., 2021, Vol. 88, No. 78. pdf
    9. An efficient online-offline method for elliptic homogenization problems, with Yufang Huang and Siqi Song, CSIAM Trans. Appl. Math., 2020, Vol. 1, 664--692. pdf
    10. A phase field framework for dynamic adiabatic shear banding, with Yun Xu and Jun Chen, J. Mech. Phys. Solids, 2020, Vol. 135, 103810. pdf
    11. The quadratic Specht triangle, with Hongliang Li and Zhong-ci Shi, J. Comput. Math., 2020, Vol. 38, 103--124. pdf
    12. A family of nonconforming rectangular elements for strain gradient elasticity, with Yulei Liao Adv. Appl. Math. Mech., 2019, Vol. 11, 1263--1286. pdf
    13. An arbitrary-order Discontinuous Galerkin method with one unknown per element, with Ruo Li, Ziyuan Sun and Zhijian Yang, J. Sci. Comput., 2019, Vol. 80, 268--288. pdf
    14. From atomistic model to the Peierls-Nabarro model with Gamma-surface for dislocations, with Tao Luo and Yang Xiang, Arch. Rational Mech. Anal., 2018, Vol. 230, 735--781. pdf
    15. A concurrent global-local numerical method for multiscale pdes, with Yufang Huang and Jianfeng Lu, J. Sci. Comput., 2018, Vol. 76, 1188--1215. pdf
    16. Analysis of geometrically consistent schemes with finite range interaction, with Hongliang Li, Commun. Comput. Phys., 2017, Vol. 22, 1333--1361. pdf
    17. 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
    18. A multiscale finite element method for oscillating Neumann problem on rough domain, with Xianmin Xu, Multiscale Model. Simul., 2016, Vol. 14, 1279--1300. pdf
    19. A study on the quasicontinuum approximations of a one-dimensional fractural model, with Xiantao Li, Multiscale Model. Simul., 2014, Vol. 12, 1379--1400. pdf
    20. 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
    21. 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
    22. 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
    23. 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
    24. Convergence of a force-based hybrid method in three dimensions, with Jianfeng Lu, Comm. Pure Appl. Math., 2013, Vol. 66, 83--108. pdf
    25. Ghost force influence of a quasicontinuum method in two dimension, with Jingrun Chen , J. Comput. Math., 2012, Vol. 30, 657--683. pdf
    26. 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
    27. An efficient multigrid method for molecular mechanics modeling in atomic solids, with Jingrun Chen, Commun. Comput. Phys., 2011, Vol. 10, 70-89. pdf
    28. Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients, with Rui Du, Multiscale Model. Simul., 2010, Vol. 8, 1770-1783. pdf
    29. Heterogeneous multiscale finite element method with novel numerical integration schemes, with Rui Du, Commun. Math. Sci., 2010, Vol. 8, 863--885. pdf
    30. 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
    31. Analysis of a one-dimensional nonlocal quasicontinuum method, with Zhijian Yang, Multiscale Model. Simul., 2009, Vol. 7, 1838--1875. pdf
    32. Error estimate of force-based quasicontinuum method, Commun. Math. Sci., 2008, Vol. 5, 1089--1095. pdf
    33. Cascadic multigrid methods for parabolic problems, with Qiang Du, Sci. in China Ser. A: Math. 2008, Vol. 51, 1415--1439. pdf
    34. 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
    35. 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
    36. 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
    37. 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
    38. 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
    39. Analysis of the heterogeneous multiscale method for parabolic homogenization problems, with Pingwen Zhang, Math. Comp., 2007, Vol. 76, 153-177. pdf
    40. Analysis of some low order quadrilateral Reissner-Mindlin plate elements, with Zhongci Shi, Math. Comp., 2006, Vol. 75, 1043-1065. pdf
    41. Numerical methods for multiscale elliptic problems, with Xingye Yue, J. Comput. Phys., 2006, Vol. 214, 421-445. pdf
    42. 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
    43. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate, with Zhongci Shi, Math. Model Meth. Appl. Sci., 2005, Vol. 15, 1503-1518. pdf
    44. Analysis of the heterogeneous multiscale method for elliptic homogenization problems, with Weinan E and Pingwen Zhang, J. AMS., 2005, Vol. 18, 121-156. pdf
    45. A finite element method for nearly incompressible elasticity problem, with Dietrich Braess, Math. Comp., 2005, Vol. 74, 25-52. pdf
    46. Analysis of multiscale problem, with Weinan E, J. Comput. Math., 2004 Vol. 22, 210-219.pdf

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    Last updated on 11/03/2023