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
  • Scientific machine learning
  • Numerical analysis and scientific computing

    • Selected Publications

    1. A concurrent global--local numerical method for multiscale parabolic equations, with Yang Liu and Yulei Liao, IMA Numer. Anal., to appear pdf
    2. Approximation theory of neural networks: From classical theory to high dimensions, with Hao Yu, Sci. China Math. (Chinese), 56(2026), 2019--2058 pdf
    3. Generalization error estimate of a machine learning method for solving high dimensional Schrodinger eigenvalue problems, with Yixiao Guo and Hao Yu, Sci. China Math., 69(2026), 1063--1119 pdf
    4. Spectral Barron space for deep neural network approximation, with Yulei Liao, SIAM J. Math. Data Sci., 7(2025), 1053-1076 pdf
    5. Heterogeneous multiscale methods for fourth-order singular perturbations, with Yulei Liao, SIAM Multiscale Model Simul., 23(2025), 1062--1087 pdf
    6. A pre-training deep learning method for simulating the large bending deformation of bilayer plates, with Xiang Li and Yulei Liao, East Asian J. Appl. Math., 14(2024), 551-578 pdf
    7. Error estimate of multiscale finite element method for periodic media revisted, with Siqi Song, SIAM Multiscale Model Simul., 22(2024), 106-124 pdf
    8. A deep learning method for computing eigenvalues of the fractional Schrodinger Operator, with Yixiao Guo, J. Syst. Sci. Complex., 37(2024), 391--412, pdf
    9. Specht triangles approximation of large bending isometries, with Xiang Li, Ann. Appl. Math.., 39(2023), 544--569, pdf
    10. 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
    11. 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
    12. A Nitsche hybrid multiscale method with non-matching grids, with Siqi Song, J. Sci. Comput., 2022, Vol. 91, No. 44. pdf
    13. Deep Nitsche method: deep Ritz-method with essential boundary conditions, with Yulei Liao, Commun. Comput. Phys., 2021, Vol. 29, 1365-1384. pdf
    14. 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
    15. 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
    16. A phase field framework for dynamic adiabatic shear banding, with Yun Xu and Jun Chen, J. Mech. Phys. Solids, 2020, Vol. 135, 103810. pdf
    17. The quadratic Specht triangle, with Hongliang Li and Zhong-ci Shi, J. Comput. Math., 2020, Vol. 38, 103--124. pdf
    18. A family of nonconforming rectangular elements for strain gradient elasticity, with Yulei Liao Adv. Appl. Math. Mech., 2019, Vol. 11, 1263--1286. pdf
    19. 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
    20. 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
    21. A concurrent global-local numerical method for multiscale pdes, with Yufang Huang and Jianfeng Lu, J. Sci. Comput., 2018, Vol. 76, 1188--1215. pdf
    22. Analysis of geometrically consistent schemes with finite range interaction, with Hongliang Li, Commun. Comput. Phys., 2017, Vol. 22, 1333--1361. pdf
    23. 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
    24. A multiscale finite element method for oscillating Neumann problem on rough domain, with Xianmin Xu, Multiscale Model. Simul., 2016, Vol. 14, 1279--1300. pdf
    25. A study on the quasicontinuum approximations of a one-dimensional fractural model, with Xiantao Li, Multiscale Model. Simul., 2014, Vol. 12, 1379--1400. pdf
    26. 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
    27. 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
    28. 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
    29. 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
    30. Convergence of a force-based hybrid method in three dimensions, with Jianfeng Lu, Comm. Pure Appl. Math., 2013, Vol. 66, 83--108. pdf
    31. Ghost force influence of a quasicontinuum method in two dimension, with Jingrun Chen , J. Comput. Math., 2012, Vol. 30, 657--683. pdf
    32. 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
    33. An efficient multigrid method for molecular mechanics modeling in atomic solids, with Jingrun Chen, Commun. Comput. Phys., 2011, Vol. 10, 70-89. pdf
    34. Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients, with Rui Du, Multiscale Model. Simul., 2010, Vol. 8, 1770-1783. pdf
    35. Heterogeneous multiscale finite element method with novel numerical integration schemes, with Rui Du, Commun. Math. Sci., 2010, Vol. 8, 863--885. pdf
    36. 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
    37. Analysis of a one-dimensional nonlocal quasicontinuum method, with Zhijian Yang, Multiscale Model. Simul., 2009, Vol. 7, 1838--1875. pdf
    38. Error estimate of force-based quasicontinuum method, Commun. Math. Sci., 2008, Vol. 5, 1089--1095. pdf
    39. Cascadic multigrid methods for parabolic problems, with Qiang Du, Sci. in China Ser. A: Math. 2008, Vol. 51, 1415--1439. pdf
    40. 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
    41. 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
    42. 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
    43. 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
    44. 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
    45. Analysis of the heterogeneous multiscale method for parabolic homogenization problems, with Pingwen Zhang, Math. Comp., 2007, Vol. 76, 153-177. pdf
    46. Analysis of some low order quadrilateral Reissner-Mindlin plate elements, with Zhongci Shi, Math. Comp., 2006, Vol. 75, 1043-1065. pdf
    47. Numerical methods for multiscale elliptic problems, with Xingye Yue, J. Comput. Phys., 2006, Vol. 214, 421-445. pdf
    48. 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
    49. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate, with Zhongci Shi, Math. Model Meth. Appl. Sci., 2005, Vol. 15, 1503-1518. pdf
    50. Analysis of the heterogeneous multiscale method for elliptic homogenization problems, with Weinan E and Pingwen Zhang, J. AMS., 2005, Vol. 18, 121-156. pdf
    51. A finite element method for nearly incompressible elasticity problem, with Dietrich Braess, Math. Comp., 2005, Vol. 74, 25-52. pdf
    52. Analysis of multiscale problem, with Weinan E, J. Comput. Math., 2004 Vol. 22, 210-219.pdf

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    Last updated on 09/26/2026