Shangyou Zhang

Teaching (Fall 2025):

1.  MWF 9:10-10:05AM, Ewing207, (Aug 26, 2025- Dec 9, 2025)  

2. MWF 10:20AM - 11:15AM, Ewing207, (Aug 26, 2025- Dec 9, 2025)  

Recent publication:    ( All publications  )

1. 2025-s-e On the Superconvergence of a Conforming Mixed Finite Element for Linear Elasticity on Uniform n-Square Grids 

2. 2025-iP  Interpolated Galerkin finite elements on rectangular and cuboid meshes for the Poisson equation 

3. 2025-md A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes

4. 2025-rm   Locking-Free HDG Methods for Reissner–Mindlin Plates Equations on Polygonal Meshes 

5.  2024-he Two-Order Superconvergent CDG Finite Element Method for the Heat Equation on Triangular and Tetrahedral Meshes

6. 2025-ife Interpolated Galerkin finite elements on rectangular and cuboid meshes for the biharmonic equation, 

  Shown on MATH REVIEWS (8/27/2025) : 

1. 2025-i-w   Wang, Chunmei; Zhang, Shangyou An auto-stabilized weak Galerkin method for elasticity interface problems on nonconvex meshes. J. Comput. Appl. Math. 473 (2026), Paper No. 116854, 17 pp.  

2. 2025-l-c  Zeng, Yuping; Zhang, Shangyou; A medius error analysis for the conforming discontinuous Galerkin finite element methods. J. Numer. Math. 33 (2025), no. 3, 267–287.  

3.  2025-p32  Xu, Xuejun; Zhang, Shangyou A nonconforming P3+B4 and discontinuous P2 mixed finite element on tetrahedral grids. Adv. Comput. Math. 51 (2025), no. 4, Paper No. 30, 13 pp

4. 2025-c1k   Zhang, Shangyou A family of P4 macro-bubble enriched C1-Pk finite elements on triangular meshes. Numer. Math. 157 (2025), no. 3, 1133–1159. 

5. 2025-p2   Zhang, Shangyou A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids. Adv. Appl. Math. Mech. 17 (2025), no. 4, 1259–1274. 

6. 2025-b-s   Zhang, Shangyou Stabilizing the Scott-Vogelius elements by Guzman-Neilan bubble functions on triangular meshes. J. Appl. Math. Comput. 71 (2025), no. 3, 3625–3643. 

7.  2025-bell  Xu, Xuejun; Zhang, Shangyou; Three families of C1-P2m+1 Bell finite elements on triangular meshes. Numer. Algorithms 99 (2025), no. 2, 717--734.

8. 2025-s-b  Zeng, Yuping; Zhang, Shangyou; A robust Morley type conforming discontinuous Galerkin method for a fourth order singular perturbation problem. ZAMM Z. Angew. Math. Mech. 105 (2025), no. 5, Paper No. e70083.

9. 2025-wgst  Wang, Chunmei; Zhang, Shangyou; Auto-stabilized weak Galerkin finite element methods for Stokes equations on non-convex polytopal meshes. J. Comput. Phys. 533 (2025), Paper No. 114006. 

10. 2025-rk   Pan, Mengjiao; Zhang, Jingjing; Zhang, Shangyou; Three sixth-order explicit symplectic Runge–Kutta-Nystrom methods with exact parameters. Results Appl. Math. 26 (2025), Paper No. 100568.  

11.  2025-dfcdg Ye, Xiu; Zhang, Shangyou; A divergence-free Pk CDG finite element for the Stokes equations on triangular and tetrahedral meshes. Numer. Math. Theory Methods Appl. 18 (2025), no. 1, 157--174. 

12.  2025-dd     Liang, Qigang; Xu, Xuejun; Zhang, Shangyou; On a sharp estimate of overlapping Schwarz methods in  H(curl; Ω) and H(div; Ω), IMA J. Numer. Anal. 45 (2025), no. 2, 1009--1027.

13. 2025-2hd  Huang, Yunqing; Xu, Xuejun; Zhang, Shangyou; A P2 H-div nonconforming-H-curl finite element for the Stokes equations on triangular meshes, Comput. Methods Appl. Math. 25 (2025), no. 2, 459--473.

14.  2025-l Zeng, Yuping; Zhang, Shangyou; Low regularity error estimates of three pressure-robust discontinuous Galerkin methods for stokes equations, ESAIM Math. Model. Numer. Anal. 59 (2025), no. 2, 873--898. 

15.  2025-wm  Wang, Chunmei; Zhang, Shangyou Efficient weak Galerkin finite element methods for Maxwell equations on polyhedral meshes without convexity constraints. J. Comput. Appl. Math. 465 (2025), Paper No. 116575, 21 pp.

16. 2025-rm  Zhang, Shangyou; Zhang, Zhimin; A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes, Commun. Appl. Math. Comput. 7 (2025), no. 2, 470--484. 

17. 2025-p3  Zhang, Shangyou; Conforming P3 divergence−free finite elements for the Stokes equations on subquadrilateral triangular meshes,   Commun. Appl. Math. Comput. 7 (2025), no. 2, 426--441.

18.  2025-c2  Ye, Xiu; Zhang, Shangyou; Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes,    Commun. Appl. Math. Comput. 7 (2025), no. 2, 411--425.

19. 2025-heat  Gao, Fuzheng; Zhang, Shangyou;   An explicit superconvergent weak Galerkin Galerkin  finite element method for the heat equation,   Adv. Appl. Math. Mech. 17 (2025), no. 2, 538--553.

20. 2025-r-m Chen, Gang; Zhang, Lu; Zhang, Shangyou;  Locking-free HDG methods for Reissner–Mindlin plates equations on polygonal meshes,  J. Sci. Comput. 102 (2025), no. 3, Paper No. 67. 

21. 2025-es Liu, Xiaojuan; Li, Maojun; Yin, Tao; Zhang, Shangyou; A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem. Adv. Comput. Math. 51 (2025), no. 1, Paper No. 2.

 All publications 

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