Shangyou Zhang

Teaching (Fall 2025):

1.  MATH 302 010 Ordinary Differential Equations 

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

3. 2025-ife Interpolated Galerkin finite elements on rectangular and cuboid meshes for the biharmonic equation, 

  Shown on MATH REVIEWS (2/16/2026) : 

1. 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. 

2. 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. 

3. 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. 

4. 2026-bri Wang, Chunmei; Zhang, Shangyou; Weak galerkin methods for the Brinkman equations. J. Comput. Appl. Math. 482 (2026), Paper No. 117326. 

5. 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. 

6. 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.

7. 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. 

8. 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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