[51] Fei Wang and Haoning Dang, Randomized Neural Network Methods for Solving Obstacle Problems, Volume on Nonsmooth Problems with Applications in Mechanics，Banach Center Publications, accepted.

 

[50] Jingbo Sun, Suchuan Dong and Fei Wang*, Local Randomized Neural Networks with Discontinuous Galerkin Methods for Partial Differential Equations, Journal of Computational and Applied Mathematics 445, (2024), 115830. (arXiv:2206.05577).

 

[49] Yong Shang and Fei Wang*, Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity and Navier-Stokes Equations, Journal of Engineering Mechanics 150 (2024), 04024010. (arXiv:2308.03088)

 

[48] Jingbo Sun and Fei Wang*, Local Randomized Neural Networks with Discontinuous Galerkin Methods for Diffusive-Viscous Wave Equation, Computers and Mathematics with Applications 154, (2024), 128--137. (25 May 2023, arXiv:2305.16060)

 

[47] Jiali Qiu, Fei Wang*, Min Ling and Jikun Zhao, The Interior Penalty Virtual Element Method for the Fourth-Order Elliptic Hemivariational Inequality, Communications in Nonlinear Science and Numerical Simulation 127, (2023), 107547.

[46] Yong Shang, Fei Wang* and Jingbo Sun, Randomized Neural Network with Petrov-Galerkin Methods for Solving Linear and Nonlinear Partial Differential Equations, Communications in Nonlinear Science and Numerical Simulation 127, (2023), 107518. (Jan 31, 2022, arXiv:2201.12995)

 

[45] Fei Wang*, Sheheryar Shah and Bangmin Wu, Discontinuous Galerkin Methods for Hemivariational Inequalities in Contact Mechanics, Journal of Scientific Computing 95, (2023), 87. Link

 

[44] Huayi Wei, Yanling Deng and Fei Wang*, Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind, Nonlinear Analysis: Real World Applications 73, (2023), 103903. Link

 

[43] Zhi-Wei Lu, Xin-Di Hou, Feng Wan*, Yousef I. Salamin, Chong Lv, Bo Zhang, Fei Wang, Zhong-Feng Xu, and Jian-Xing Li*, Diagnosis of ultrafast ultraintense laser pulse characteristics by machine-learning-assisted electron spin, Matter and Radiation at Extremes 8, (2023), 034401, https://doi.org/10.1063/5.0140828

 

[42] Jikun Zhao*, Shipeng Mao, Bei Zhang and Fei Wang，The interior penalty virtual element method for the biharmonic problem, Mathematics of Computation 92, (2023), 1543-1574.

 

[41] Jiali Qiu, Jikun Zhao and Fei Wang*, Nonconforming Virtual Element Methods for the Fourth-Order Variational Inequalities of the First Kind, Journal of Computational and Applied Mathematics 425 (2023), 115025. Link

 

[40] Yanxia Qian, Fei Wang* and Wenjing Yan, Analysis of a mixed discontinuous Galerkin method with symmetric strain rate and stress for a class of quasi-Newtonian Stokes flows, Journal of Computational Mathematics, (2023) DOI: 10.4208/jcm.2211-m2021-0255.

 

[39] Weimin Han, Min Ling and Fei Wang*, Numerical Solution of an H(curl)-Elliptic Hemivariational Inequality, IMA Journal of Numerical Analysis, 43 (2023), 976–1000.

 

[38] Fei Wang* and B. Daya Reddy, A Priori Error Analysis of Virtual Element Method for Contact Problem, Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 (2022), 10. Link

 

[37] Bangmin Wu, Fei Wang* and Weimin Han, Virtual Element Method for a Frictional Contact Problem with Normal Compliance, Communications in Nonlinear Science and Numerical Simulation 107 (2022), 106125. Link

 

[36] Weimin Han, Chenghang Song, Fei Wang*, Jinghuai Gao, Numerical Analysis of the Diffusive-Viscous Wave Equation, Computers and Mathematics with Applications, 102 (2021) 54–64. Link

 

[35] Fei Wang*, Sheheryar Shah and Wenqiang Xiao, A Priori Error Estimates of Discontinuous Galerkin Methods for a Quasi-variational Inequality, BIT Numerical Mathematics, 61 (2021), 1005–1022.

 

[34] Limin He, Weimin Han and Fei Wang*, On a Family of Discontinuous Galerkin Fully-Discrete Schemes for the Wave Equation, Computational and Applied Mathematics, 40 (2021), 56. Link

 

[33] Fei Wang*, Bangmin Wu and Weimin Han, The Virtual Element Method for General Elliptic Hemivariational Inequalities, Journal of Computational and Applied Mathematics, 389 (2021) 113330. Link

 

[32] Limin He, Fei Wang* and Jing Wen, A Mixed Discontinuous Galerkin Method for the Wave Equation, Computers and Mathematics with Applications, 82 (2021) 60–73. Link

 

[31] Min Ling, Fei Wang* and Weimin Han, The Nonconforming Virtual Element Method for a Stationary Stokes Hemivariational Inequality with Slip Boundary Condition, Journal of Scientific Computing, (2020) 85:56. Link

 

[30] Fei Wang* and Haoran Qi, A Discontinuous Galerkin Method for an Elliptic Hemivariational Inequality for Semipermeable Media, Applied Mathematics Letters, 109 (2020) 106572. DOI: 10.1016/j.aml.2020.106572. Link

 

[29] Yanxia Qian, Zhiguo Yang, Fei Wang and Suchuan Dong*, gPAV-based unconditionally energy-stable schemes for the Cahn–Hilliard equation: Stability and error analysis, Computer Methods in Applied Mechanics and Engineering, 372 (2020) 113444. Link

 

[28] Yanxia Qian, Shuonan Wu and Fei Wang*, A Mixed Discontinuous Galerkin Method with Symmetric Stress for Brinkman Problem Based on the Velocity-Pseudostress Formulation, Computer Methods in Applied Mechanics and Engineering, 368 (2020), 113177. Link

 

[27] Yanxia Qian, Fei Wang*, Yongchao Zhang and Weimin Han, A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation, Applicable Analysis, 101 (2022), 1176-1198. Link

 

[26] Yanling Deng, Fei Wang* and Huayi Wei, A Posteriori Error Estimates of Virtual Element Method for a Simplified Friction Problem, Journal of Scientific Computing, 83:52 (2020). Link

 

[25] Fei Wang, Shuonan Wu* and Jinchao Xu, A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry, Journal of Scientific Computing, 82:2 (2020).

 

[24] Fei Wang and Jikun Zhao*, Conforming and Nonconforming Virtual Element Methods for a Kirchhoff Plate Contact Problem, IMA Journal of Numerical Analysis 41 (2021) , 1496–1521.

 

[23] Yuanming Xiao*, Jinchao Xu and Fei Wang, High-Order Extended Finite Element Methods for Solving Interface Problems, Computer Methods in Applied Mechanics and Engineering, 364 (2020), 112964.

 

[22] Fei Wang*, Min Ling, Weimin Han and Feifei Jing, Adaptive Discontinuous Galerkin Methods for Solving an Incompressible Stokes Flow Problem with Slip Boundary Condition of Frictional Type, Journal of Computational and Applied Mathematics, 371 (2020), 112270.

 

[21] Limin He, Weimin Han, Fei Wang* and Wentao Cai, Unconditional Stability and Optimal Error Estimates of DG Methods for Wave Equation, Applicable Analysis, 100 (2021), 1143-1081. https://doi.org/10.1080/00036811.2019.1636968

[20] Fei Wang* and Weimin Han, Discontinuous Galerkin Methods for Solving a Hyperbolic Variational Inequality, Numerical Methods for Partial Differential Equations, 35 (2019), 894-915. https://doi.org/10.1002/num.22330.

[19] Fei Wang* and Huayi Wei, Virtual Element Methods for Obstacle Problem, IMA Journal of Numerical Analysis, 40 (2020), 708–728, (published online 2018).  https://doi.org/10.1093/imanum/dry055.

 

[18] Qingguo Hong, Fei Wang, Shuonan Wu and Jinchao Xu*, A Unified Study of Continuous and Discontinuous Galerkin Methods, SCIENCE CHINA Mathematics, 62 (2019), 1-32. Link

 

[17] Weimin Han, Limin He and Fei Wang*, Optimal Order Error Estimates for Discontinuous Galerkin Methods for the Wave Equation, Journal of Scientific Computing, 78 (2019), 121-144. DOI: 10.1007/s10915-018-0755-1. (file share link https://rdcu.be/UyKG)

 

[16] Fei Wang*, Tianyi Zhang and Weimin Han, C⁰ Discontinuous Galerkin Methods for a Kirchhoff Plate Contact Problem, Journal of Computational Mathematics, 37 (2019), 184-200. Link

 

[15] Fei Wang* and Weimin Han, Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem, International Journal of Numerical Analysis & Modeling, 16(2019), 49-62.

 

[14] Fei Wang* and Huayi Wei, Virtual Element Method for Simplified Friction Problem, Applied Mathematics Letters, 85 (2018), 125–131.

 

[13] Wenqiang Xiao, Fei Wang*, and Weimin Han, Discontinuous Galerkin methods for solving a frictional contact problem with normal compliance, Numerical Functional Analysis and Optimization, 39 (2018), 1248-1264. https://doi.org/10.1080/01630563.2018.1472609.

 

[12] Fei Wang*, Weimin Han, and Joseph Eichholz, A two level algorithm for an obstacle problem, Applied Mathematics and Computation, 330 (2018), 65-76.

 

[11] Feifei Jing, Weimin Han, Wenjing Yan* and Fei Wang, Discontinuous Galerkin Methods for a Stationary Navier-Stokes Problem with a Nonlinear Slip Boundary Condition of Friction Type, Journal of Scientific Computing, 76 (2018), 888-912.

 

[10] Fei Wang and Shuo Zhang*, Optimal Quadratic Nitsche Extended Finite Element Method for Solving Interface Problem, Journal of Computational Mathematics, 36 (2018), 693-717.

 

[9] Fei Wang, Weimin Han, Joseph Eichholz and Xiaoliang Cheng*, A Posteriori Error Estimates of Discontinuous Galerkin Methods for Obstacle Problems, Nonlinear Analysis: Real World Applications, 22 (2015), 664-679.

 

[8] Fei Wang*, Weimin Han, Jianguo Huang and Tianyi Zhang, Discontinuous Galerkin Methods for an Elliptic Variational Inequality of Fourth-Order, in Advances in Variational and Hemivariational Inequalities with Applications, Springer International Publishing (2015), 199-222.

 

[7] Fei Wang*, Weimin Han and Xiaoliang Cheng, Discontinuous Galerkin Methods for Solving the Quasistatic Contact Problem, Numerische Mathematik, 126 (2014), 771-800.

 

[6] Fei Wang* and Weimin Han, Another View for a Posteriori Error Estimates for Variational Inequalities of the Second Kind, Applied Numerical Mathematics, 72 (2013), 225-233.

 

[5] Fei Wang*, Discontinuous Galerkin Methods for Solving Double Obstacle Problem, Numerical Methods for Partial Diferential Equations, 29 (2013), 706-720

 

[4] Fei Wang*, Discontinuous Galerkin Methods for Two Membranes Problem, Numerical Functional Analysis and Optimization 34, (2013), 220-235.

 

[3] Fei Wang*, Weimin Han and Xiaoliang Cheng, Discontinuous Galerkin Methods for Solving Signorini Problem, IMA Journal of Numerical Analysis, 31 (2011), 1754-1772.

 

[2] Fei Wang*, Weimin Han and Xiaoliang Cheng, Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities, SIAM Journal on Numerical Analysis, 48 (2010), 708-733.

 

[1] Fei Wang* and Xiaoliang Cheng, An algorithm for solving the double obstacle problems, Applied Mathematics and Computation, 201 (2008) 221-228.