PUBLISHED JOURNAL ARTICLES
[J49] Chunmei Wang and Junping Wang, A Parallel Iterative Algorithm for Primal-Dual weak Galerkin Schemes, accepted by ICIAM2023 SPRINGER SERIES titled “Recent advances on two-phase flows, fluid-structure interactions, and interface problems”, arXiv:2407.00907. Link
[J48] Ke Chen, Jasen Lai and Chunmei Wang, Pseudo-Differential Integral Autoencoder Network for Inverse PDE Operators, Inverse Problems, vol. 40(10), 105004, 2024. Link
[J47] Dan Li, Chunmei Wang and Junping Wang, An Extension of the Morley Element on General Polytopal Partitions Using Weak Galerkin Methods, Journal of Scientific Computing, 100, vol. 27, 2024. Link
[J46] Dan Li, Chunmei Wang and Shangyou Zhang, Weak Galerkin methods for elliptic interface problems on curved polygonal partitions, Journal of Computational and Applied Mathematics, pp. 115995, 2024. Link
[J45] Chunmei Wang, Junping Wang and Shangyou Zhang, Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations, Journal of Computational and Applied Mathematics, pp. 115892, 2024. Link
[J44] Chunmei Wang, Xiu Ye and Shangyou Zhang, A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes, Journal of Computational and Applied Mathematics, vol. 448, pp. 115918, 2024. Link
[J43] Dan Li, Chunmei Wang, Junping Wang and Xiu Ye, Generalized weak Galerkin finite element methods for second order elliptic problems, Journal of Computational and Applied Mathematics, vol. 445, pp. 115833, 2024. Link
[J42] Dan Li, Chunmei Wang, Junping Wang and Shangyou Zhang, High Order Morley Elements for Biharmonic Equations on Polytopal Partitions, Journal of Computational and Applied Mathematics, Vol. 443, pp. 115757, 2024. Link
[J41] Dan Li, Chunmei Wang and Junping Wang, Curved Elements in Weak Galerkin Finite Element Methods, Computers and Mathematics with Applications, Vol. 153, pp. 20-32, 2024. Link
[J40] Senwei Liang, Liyao Lyu, Chunmei Wang and Haizhao Yang, Reproducing Activation Function for Deep Learning, Communication in Mathematical Sciences, Vol. 22(2), pp. 285-314, 2024. Link
[J39] Ke Chen, Chunmei Wang and Haizhao Yang, Deep Operator Learning Lessens the Curse of Dimensionality for PDEs, Transactions on Machine Learning Research, 2023. Link
[J38] Chunmei Wang, Junping Wang and Shangyou Zhang, A parallel iterative procedure for weak Galerkin methods for second order elliptic problems, International Journal of Numerical Analysis and Modeling, vol. 21(1), pp. 1-19, 2023. Link
[J37] Dan Li, Chunmei Wang and Junping Wang, Generalized Weak Galerkin Finite Element Methods for Biharmonic Equations, Journal of Computational and Applied Mathematics, vol. 434, 115353, 2023. Link
[J36] Dan Li, Chunmei Wang and Junping Wang, An L^p-primal-dual finite element method for first-order transport problems, Journal of Computational and Applied Mathematics, vol. 434, 115345, 2023. Link
[J35] Fan Chen, Jianguo Huang, Chunmei Wang and Haizhao Yang, Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning, SIAM Scientific Computing, vol. 45(3), pp. A1271-A1299, 2023. Link
[J34] Dan Li and Chunmei Wang, A simplified primal-dual weak Galerkin finite element method for Fokker-Planck type equations, Journal of Numerical Methods for Partial Differential Equations, vol 39, pp. 3942-3963, 2023. Link
[J33] Chunmei Wang, Junping Wang and Shangyou Zhang, Weak Galerkin Finite Element Methods for Quad-Curl Problems, Journal of Computational and Applied Mathematics, vol. 428, pp. 115186, 2023. Link
[J32] Wenhan Gao and Chunmei Wang, Active Learning Based Sampling for High-Dimensional Nonlinear Partial Differential Equations, vol. 475, pp. 111848, Journal of Computational Physics, 2023. Link
[J31] Waixiang Cao, Chunmei Wang and Junping Wang, An L^p-Primal-Dual Weak Galerkin Method for div-curl Systems, Journal of Computational and Applied Mathematics, vol. 422, 114881, 2023. Link
[J30] Chunmei Wang and Shangyou Zhang, A Weak Galerkin Method for Elasticity Interface Problems, Journal of Computational and Applied Mathematics, vol. 419, 114726, 2023. Link
[J29] Waixiang Cao, Chunmei Wang and Junping Wang, An L^p-Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations, Journal of Computational and Applied Mathematics, vol. 419, 114698, 2023. Link
[J28] Waixiang Cao, Chunmei Wang and Junping Wang, A New Primal-Dual Weak Galerkin Method for Elliptic Interface Problems with Low Regularity Assumptions, Journal of Computational Physics, vol. 470, 111538, 2022. Link
[J27] Dan Li, Chunmei Wang and Junping Wang, Primal-Dual Weak Galerkin Finite Element Methods for Transport Equations in Non-Divergence Form, Journal of Computational and Applied Mathematics, vol. 412, 114313, 2022. Link
[J26] Shuhao Cao, Chunmei Wang and Junping Wang, A new numerical method for div-curl Systems with Low Regularity Assumptions, Computers and Mathematics with Applications, vol. 144, pp. 47-59, 2022. Link
[J25] Chunmei Wang, Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems, Int. J. Numer. Anal. Mod., vol. 19(1), pp. 33-51, 2022. Link
[J24] Jianguo Huang, Chunmei Wang and Haoqin Wang, Adaptive Learning on the Grids for Elliptic Hemivariational Inequalities, East Asian Journal on Applied Mathematics, vol. 12(3), pp. 487-502, 2022. Link
[J23] Chunmei Wang, Junping Wang, Xiu Ye and Shangyou Zhang, De Rham Complexes for Weak Galerkin Finite Element Spaces, Journal of Computational and Applied Mathematics, vol. 397, pp. 113645, 2021. Link
[J22] Chunmei Wang, A Modified Primal-Dual Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence Form, Int. J. Numer. Anal. Mod., vol. 18(4), pp. 500-523, 2021. Link
[J21] Chunmei Wang and Ludmil Zikatanov, Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations, Journal of Computational and Applied Mathematics, vol 394, 113543, 2021. Link
[J20] Yiqi Gu, Chunmei Wang and Haizhao Yang, Structure Probing Neural Network Deflation, Journal of Computational Physics, vol. 434, 110231, 2021. Link
[J19] Waixiang Cao and Chunmei Wang, New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems, Applied Numerical Mathematics, vol. 162, pp. 171-191, 2021. Link
[J18] Chunmei Wang and Junping Wang, A Primal-Dual Weak Galerkin Finite Element Method for Fokker-Planck Type Equations, SIAM Numerical Analysis, vol. 58(5), pp. 2632-2661, 2020. Link
[J17] Chunmei Wang and Junping Wang, A Primal-Dual Finite Element Method for First-Order Transport Problems, Journal of Computational Physics, Vol. 417, 109571, 2020. Link
[J16] Dan Li, Chunmei Wang, and Junping Wang, Superconvergence of the Gradient Approximation for Weak Galerkin Finite Element Methods on Rectangular Partitions, Applied Numerical Mathematics, vol. 150, pp. 396-417, 2020. Link
[J15] Chunmei Wang, A New Primal-Dual Weak Galerkin Finite Element Method for Ill-posed Elliptic Cauchy Problems, Journal of Computational and Applied Mathematics, vol 371, 112629, 2020. Link
[J14] Chunmei Wang and Junping Wang, Primal-Dual Weak Galerkin Finite Element Methods for Elliptic Cauchy Problems, Computers and Mathematics with Applications, vol 79(3), pp. 746-763, 2020. Link
[J13] Dan Li, Yufeng Nie, and Chunmei Wang, Superconvergence of Numerical Gradient for Weak Galerkin Finite Element Methods on Nonuniform Cartesian Partitions in Three Dimensions, Computers and Mathematics with Applications, vol 78(3), pp. 905-928, 2019. Link
[J12] Chunmei Wang, New Discretization Schemes for Time-Harmonic Maxwell Equations by Weak Galerkin Finite Element Methods, Journal of Computational and Applied Mathematics, Vol. 341, pp. 127-143, 2018. Link
[J11] Chunmei Wang and Junping Wang, A Primal-Dual Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence form, Mathematics of Computation, Vol. 87, pp. 515-545, 2018. Link
[J10] Mingjun Lai and Chunmei Wang, A Bivariate Spline Method for Second Order Elliptic Equations in Non-Divergence Form, Journal of Scientific Computing, Vol. 75(2), pp. 803-829, 2018. Link
[J9] Chunmei Wang, Superconvergence of Ritz-Galerkin Finite Element Approximations for Second Order Elliptic Problems, Numerical Methods for Partial Differential Equations, Vol.34, pp. 838-856, 2018. Link
[J8] Chunmei Wang and Haomin Zhou, A Weak Galerkin Finite Element Method for a Type of Fourth Order Problem arising from Fluorescence Tomography, Journal of Scientific Computing, Vol. 71(3), pp. 897-918, 2017. Link
[J7] Chunmei Wang and Junping Wang, Discretization of Div-Curl Systems by Weak Galerkin Finite Element Methods on Polyhedral Partitions, Journal of Scientific Computing, Vol. 68, pp. 1144-1171, 2016. Link
[J6] Chunmei Wang, Junping Wang, Ruishu Wang and Ran Zhang, A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation, Journal of Computational and Applied Mathematics, Vol. 307, pp. 346-366, 2016. Link
[J5] Chunmei Wang, Shangyou Zhang and Jinru Chen, A Mass-Preserving Interpolation Operator and an Interpolated Mortar Condition for Nonconforming Elements on Non-Matching Grids, Journal of Scientific Computing, Vol. 62, pp. 179-197, 2015. Link
[J4] Chunmei Wang and Junping Wang, A Hybridized Formulation for Weak Galerkin Finite Element Methods for Biharmonic Equation on Polygonal or Polyhedral Meshes, International Journal of Numerical Analysis and Modeling, Vol. 12, pp. 302-317, 2015. Link
[J3] Junping Wang and Chunmei Wang, Weak Galerkin Finite Element Methods for Elliptic PDEs, Science China, Vol. 45, pp. 1061-1092, 2015. Link
[J2] Chunmei Wang and Junping Wang, An Efficient Numerical Scheme for the Biharmonic Equation by Weak Galerkin Finite Element Methods on Polygonal or Polyhedral Meshes, Journal of Computers and Mathematics with Applications, Vol. 68, 12, pp. 2314-2330, 2014. Link
[J1] Chunmei Wang, A Preconditioner for the FETI-DP Method for Mortar-Type Crouzeix-Raviart Element Discretization, Applications of Mathematics, Vol. 59, 6, pp. 653-672, 2014. Link
PAPERS In REVIEW
[S7] Chunmei Wang and Shangyou Zhang, Efficient Weak Galerkin Finite Element Methods for Maxwell Equations on polyhedral Meshes without Convexity Constraints, arXiv:2410.20615.
[S6] Chunmei Wang, Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions, arXiv:2409.05887.
[S5] Chunmei Wang, Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints, arXiv:2408.11927. Link
[S4] Zezheng Song, Chunmei Wang and Haizhao Yang, Finite Expression Methods for Learning Dynamics on Complex Networks, arXiv: 2401.03092. Link
[S3] Ke Chen, Chunmei Wang and Haizhao Yang, Let Data Talk: Data-Regularized Operator Learning Theory for Inverse Problems, arXiv: 2310.09854. Link
[S2] Zhongyi Jiang, Chunmei Wang and Haizhao Yang, Finite Expression Methods for Discovering Physical Laws from Data, arXiv: 2305.08342. Link
[S1] Wenrui Hao, Chunmei Wang, Xingjian Xu and Haizhao Yang, Deep learning via neural energy descent, arXiv: 2302.10424. Link
THESES
[T2] Chunmei Wang, Weak Galerkin finite element methods for PDEs, PhD Thesis,
Nanjing Normal University, China, 2014. Link
[T1] Chunmei Wang, Nonmonotone trust region methods for nonsmooth equations with
constraints of simple boundary, Master Thesis, Soochow University, China, 2007.