Publications

Limin He, Weimin Han, Fei Wang* and Wentao Cai, Unconditional Stability and Optimal Error Estimates of DG Methods for Wave Equation, Applicable Analysishttps://doi.org/10.1080/00036811.2019.1636968

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


Fei Wang* and Huayi Wei, Virtual Element Methods for Obstacle Problem, 
IMA Journal of Numerical Analysis, (2018), https://doi.org/10.1093/imanum/dry055.

 

Qingguo Hong, Fei Wang, Shuonan Wu and Jinchao Xu*, A Unified Study of Continuous and Discontinuous Galerkin Methods, SCIENCE CHINA Mathematics62 (2019), 1-32. Link

 

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)

 

Fei Wang*, Tianyi Zhang and Weimin Han, C0 Discontinuous Galerkin Methods for a Kirchhoff Plate Contact Problem, Journal of Computational Mathematics37 (2019), 184-200Link

 

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.

 

Fei Wang* and Huayi Wei, Virtual Element Method for Simplified Friction Problem, Applied Mathematics Letters85 (2018), 125–131. https://doi.org/10.1016/j.aml.2018.06.002.

 

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

 

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

 

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.

 

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

 

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.


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.


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


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.


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


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


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


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


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

Papers in submitted and preparation

Fei Wang, Yuanming Xiao and Jinchao Xu, High-Order Extended Finite Element Methods for Solving Interface Problems, submitted.

 

Fei Wang and Jikun Zhao, Conforming and Nonconforming Virtual Element Methods for a Kirchhoff Plate Contact Problem, submitted.

 

Limin He, Weimin Han and Fei Wang, On a Family of Discontinuous Galerkin Fully-Discrete Schemes for the Wave Equation, submitted.

 

Yanxia Qian, Fei Wang, Yongchao Zhang and Weimin Han, Mixed Discontinuous Galerkin Methods for a Time-dependent Darcy Flow on Polygonal Meshes, submitted.

 

Fei Wang, Shuonan Wu and Jinchao Xu, A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry, submitted.

 

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, submitted.

 

Min Ling, Fei Wang, Weimin Han, Cheng Wang, Virtual Element Method for an Elliptic Hemivariational Inequality, submitted.

 

Yanxia Qian, Shuonan Wu and Fei Wang, A Mixed Discontinuous Galerkin Method with Symmetric Stress for Brinkman Problem Based on the Velocity-Pseudostress Formulation, submitted.

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