Shangyou Zhang

Teaching (Fall 2025):

1.  MATH 302 010 Ordinary Differential Equations 

Recent publication:    ( All publications  )

  Shown on MATH REVIEWS (6/23/2026) : 

1. 2026-cmk  Zhang, Shangyou; The nodal basis of $C^m$-$P_k^{(3)}$ and  $C^m$-$P_k^{(4)}$ finite elements on tetrahedral and 4D simplicial grids,  East Asian J. Appl. Math. 17 (2027), no. 1, 95–104.  

2. 2026-bilc     Li, Mingxia; Mao, Shipeng; Zhang, Shangyou; Superconvergence and two-order extrapolation of the bilinear-constant finite element for the stokes equations. Adv. Appl. Math. Mech. 18 (2026), no. 6, 1784–1803.

3. 2026-b-sf   Wang, Chunmei; Zhang, Shangyou; A simple weak Galerkin method for the Brinkman equations on nonconvex polytopal meshes. Numer. Methods Partial Differential Equations 42 (2026), no. 3, Paper No. e70098, 26 pp. 

4. 2026-scl  Man, Hongying; Zhang, Shangyou; On the Superconvergence of a Conforming Mixed Finite Element for Linear Elasticity on Uniform n-Square Grids. Commun. Appl. Math. Comput. 8 (2026), no. 3, 851–867.

5. 2026-4s     Zeng, Yuping; Zhang, Shangyou; Uniform convergence analysis for a $C^0$-type conforming discontinuous Galerkin approximation of a fourth order singular perturbation problem. J. Comput. Appl. Math. 487 (2026), Paper No. 117739, 19 pp. 

6. 2025-ife   Pan, Mengjiao; Sorokina, Tatyana; Zhang, Shangyou Interpolated Galerkin finite elements on rectangular and cuboid meshes for the biharmonic equation. Commun. Appl. Math. Comput. 8 (2026), no. 2, 765–777.

7.  2026-he   Ye, Xiu; Zhang, Shangyou Two-order superconvergent CDG finite element method for the heat equation on triangular and tetrahedral meshes. Commun. Appl. Math. Comput. 8 (2026), no. 2, 411-426. 

8. 2026-m-st  Zeng, Yuping; Zhang, Shangyou A medius error analysis for a conforming discontinuous Galerkin method for the Stokes equations. Comput. Appl. Math. 45 (2026), no. 7, Paper No. 281, 21 pp.

9. 2026-p4bih Li, Youai; Zhang, Shangyou; Two P4 nonconforming finite elements for the biharmonic equation on rectangular meshes. Adv. Appl. Math. Mech. 18 (2026), no. 4, 1142--1154. 

10. 2025-iP  Wang, Xiuli; Zhang, Ran; Zhang, Shangyou; Interpolated Galerkin finite elements on rectangular and cuboid meshes for the Poisson equation. Numer. Algorithms 101 (2026), no. 2, 933--949. 

11. 2026-os Li, Dan; Zeng, Yuping; Zhang, Shangyou; A new upwind weak Galerkin finite element method for Oseen equations on general polytopal meshes. Commun. Nonlinear Sci. Numer. Simul. 156 (2026), Paper No. 109625. 

12. 2026-bri Wang, Chunmei; Zhang, Shangyou; Weak galerkin methods for the Brinkman equations. J. Comput. Appl. Math. 482 (2026), Paper No. 117326. 

13. 2026-quad Wang, Chunmei; Zhang, Shangyou; Stabilizer-free weak galerkin methods for quad-Curl problems on polyhedral meshes without convexity assumptions. J. Comput. Appl. Math. 481 (2026), Paper No. 117279. 

14. 2026-q1p0 Li, Mingxia; Mao, Shipeng; Zhang, Shangyou; Superconvergence of the enriched rotated Q1 nonconforming finite element for the Stokes problem based on a cross-correction scheme. Commun. Nonlinear Sci. Numer. Simul. 155 (2026), Paper No. 109595.

15. 2026-ela Wang, Chunmei; Zhang, Shangyou Auto-stabilized weak Galerkin methods for elasticity problems. J. Comput. Appl. Math. 477 (2026), Paper No. 117199, 18 pp. 

16. 2026-v-e   Lin, Yanping; Zhang, Shangyou; Stabilizer-free polygonal and polyhedral virtual elements. Appl. Numer. Math. 220 (2026), 265–276.

      All publications 

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