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

    You are No. visitor to my homepage since 01/01/2004

    Last updated on 10/04/2025