Shangyou Zhang

Department of Mathematical Sciences

University of Delaware

Newark , Delaware 19716- 2553 , USA

Office: Ewing 310

Fax: (302) 831-4511

Email: szhang@udel.edu

Teaching(Spring, 2024):

MATH 353 Engineering Mathematics III

Recent publication: ( All publications )

1. 2024-mo Li, Dan; Wang, Chunmei; Wang, Junping; Zhang, Shangyou; High order Morley elements for biharmonic equations on polytopal partitions. J. Comput. Appl. Math. 443 (2024), 115757.
2. 2024-pa Wang, Chunmei; Wang, Junping; Zhang, Shangyou A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. Int. J. Numer. Anal. Model. 21 (2024), no. 1, 1–19.
3. 2024-ne Zhang, Shangyou Neilan's divergence-free finite elements for Stokes equations on tetrahedral grids. Numer. Methods Partial Differential Equations 40 (2024), no. 1, Paper No. e24055, 27 pp.
4. 2024-2s Ye, Xiu; Zhang, Shangyou; Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. Adv. Comput. Math. 50 (2024), no. 1, Paper No. 2.
5. 2024-hd Zhang, Shangyou; Zhu, Peng BDM H(div) weak Galerkin finite element methods for Stokes equations. Appl. Numer. Math. 197 (2024), 307–321.
6. 2024-4b Ye, Xiu; Zhang, Shangyou Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes. J. Comput. Appl. Math. 440 (2024), Paper No. 115516, 13 pp.

1. 2023-bh Ye, Xiu; Zhang, Shangyou A conforming DG method for the biharmonic equation on polytopal meshes. Int. J. Numer. Anal. Model. 20 (2023), no. 6, 855–869.
2. 2023-rk Jun Zhang; Jingjing Zhang and Zhang, Shangyou Explicit Symplectic Runge–Kutta–Nystr\"om Methods Based on Roots of Shifted Legendre Polynomial, Mathematics 11 (2023) no. (20), Paper 4291.
3. 2023-nf-pl Zhang, Shangyou; Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate. Commun. Appl. Math. Comput. 5 (2023), no. 4, 1697–1712.
4. 2023-4WgBih Ye, Xiu; Zhang, Shangyou; Four-Order Superconvergent Weak Galerkin Methods for the Biharmonic Equation on Triangular Meshes. Commun. Appl. Math. Comput. 5 (2023), no. 4, 1323–1338.
5. 2023-p1sp Zhang, Shangyou A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow. J. Numer. Math. 31 (2023), no. 3, 157–173.
6. 2023-p1b-s Zhang, Shangyou A macro-bubble enriched P1-P0 finite element for the Stokes equations on triangular and tetrahedral meshes. Calcolo 60 (2023), no. 3, Paper No. 44, 20 pp.
7. 2023-exWG Wang, Junping; Ye, Xiu; Zhang, Shangyou A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions. J. Numer. Math. 31 (2023), no. 2, 125–135.
8. 2023-porous Bi, Chuan; Ou, Miao-Jung Yvonne; Zhang, Shangyou Integral representation of hydraulic permeability. Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), no. 3, 907–936.
9. 2023-wg4c Wang, Chunmei; Wang, Junping; Zhang, Shangyou Weak Galerkin finite element methods for quad-curl problems. J. Comput. Appl. Math. 428 (2023), Paper No. 115186, 13 pp.
10. 2023-cdg2t Ye, Xiu; Zhang, Shangyou Order two superconvergence of the CDG finite elements on triangular and tetrahedral meshes. CSIAM Trans. Appl. Math. 4 (2023), no. 2, 256–274.
11. 2023-wg2sq Ye, Xiu; Zhang, Shangyou Constructing order two superconvergent WG finite elements on rectangular meshes. Numer. Math. Theory Methods Appl. 16 (2023), no. 1, 230–241.
12. 2023-2sq-s5 Wang, Junping; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng Two-order superconvergence for a weak Galerkin method on rectangular and cuboid grids. Numer. Methods Partial Differential Equations 39 (2023), no. 1, 744–758. (Reviewer: Huanrong Li) 65N15 (65N30)
13. 2023-elas Wang, Xiuli; Meng, Xianglong; Zhang, Shangyou; Zhou, Huifang; A modified weak Galerkin finite element method for the linear elasticity problem in mixed form. J. Comput. Appl. Math. 420 (2023), Paper No. 114743.
14. 2023-if Wang, Chunmei; Zhang, Shangyou; A weak Galerkin method for elasticity interface problems. J. Comput. Appl. Math. 419 (2023), Paper No. 114726.