Shangyou Zhang

Shangyou Zhang

Department of Mathematical Sciences

University of Delaware

Newark , Delaware 19716- 2553 , USA

Office: Ewing 310

Phone: (302) 831-0625

Fax: (302) 831-4511

Email: szhang@udel.edu

Recent publication: ( All publications )

    1. 2022-4WgBih Four-Order Superconvergent Weak Galerkin Methods for the Biharmonic Equation on Triangular Meshes

    2. 2022-sq-wg2 Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids in Numerical Methods for Partial Differential Equations


    1. 2022-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.

    2. 2022-if Wang, Chunmei; Zhang, Shangyou; A weak Galerkin method for elasticity interface problems. J. Comput. Appl. Math. 419 (2023), Paper No. 114726.

    3. 2022-mixLap Lin, Yanping; Ye, Xiu; Zhang, Shangyou; A Mixed Finite-Element Method on Polytopal Mesh. Commun. Appl. Math. Comput. 4 (2022), no. 4, 1374–1385.

    4. 2022-1dCDG Ye, Xiu; Zhang, Shangyou; Achieving superconvergence by one-dimensional discontinuous finite elements: the CDG method. East Asian J. Appl. Math. 12 (2022), no. 4, 781–790.

    5. 2022-HdivDiv Ye, Xiu; Zhang, Shangyou A family of H-div-div mixed triangular finite elements for the biharmonic equation. Results Appl. Math. 15 (2022), Paper No. 100318, 16 pp.

    6. 2022-ife Tatyana Sorokina and Shangyou Zhang, An Interpolated Galerkin Finite Element Method for the Poisson Equation. J. Sci. Comput. 92 (2022), no. 2, Paper No. 47, 14 pp.

    7. 2022-hypSys Zhang, Tie; Zhang, Shangyou An explicit weak Galerkin method for solving the first order hyperbolic systems. J. Comput. Appl. Math. 412 (2022), Paper No. 114311, 14 pp.

    8. 2022-1dWg Ye, Xiu; Zhang, Shangyou Achieving superconvergence by one-dimensional discontinuous finite elements: weak Galerkin method. East Asian J. Appl. Math. 12 (2022), no. 3, 590–598.

    9. 2022-wdivBih Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. Appl. Numer. Math. 178 (2022), 155–165.

    10. 2022-ldg Ye, Xiu; Zhang, Shangyou; Zhu, Peng Development of a LDG method on polytopal mesh with optimal order of convergence. J. Comput. Appl. Math. 410 (2022), Paper No. 114179, 10 pp.

    11. 2022-31 Gao, Fuzheng; Ye, Xiu; Zhang, Shangyou A discontinuous Galerkin finite element method without interior penalty terms. Adv. Appl. Math. Mech. 14 (2022), no. 2, 299–314.

    12. 2022-1 pdf Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou; A stabilizer-free weak Galerkin finite element method for the stokes equations. Adv. Appl. Math. Mech. 14 (2022), no. 1, 181–201.

    13. pdf 2022-2 Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation. J. Comput. Appl. Math. 401 (2022), Paper No. 113767, 9 pp.

    14. 2022-c0Bgrad Ye, Xiu; Zhang, Shangyou; A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. J. Numer. Math. 30 (2021), no. 3, 163–172.


    15. pdf 2021-61 Ye, Xiu; Zhang, Shangyou A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh. Electron. Res. Arch. 29 (2021), no. 6, 3609–3627.

    16. pdf 2021-47 Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou Weak Galerkin finite element methods with or without stabilizers. Numer. Algorithms 88 (2021), no. 3, 1361–1381. 65N30 (65N12 65N15)

    17. pdf 2021-62 Peng, Hui; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou; A weak Galerkin-mixed finite element method for the Stokes-Darcy problem. Sci. China Math. 64 (2021), no. 10, 2357–2380.

    18. pdf 2021-41 Mu, Lin; Ye, Xiu; Zhang, Shangyou Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. J. Sci. Comput. 89 (2021), no. 1, Paper No. 26, 25 pp.

    19. pdf 2021-43 Mu, Lin; Ye, Xiu; Zhang, Shangyou A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. SIAM J. Sci. Comput. 43 (2021), no. 4, A2614–A2637.

    20. pdf 2021-45 Ye, Xiu; Zhang, Shangyou; Low regularity error analysis for weak Galerkin finite element methods for second order elliptic problems. Numer. Math. Theory Methods Appl. 14 (2021), no. 3, 613–623.

    21. pdf 2021-9 Wang, Chunmei; Wang, Junping; Ye, Xiu; Zhang, Shangyou de Rham complexes for weak Galerkin finite element spaces. J. Comput. Appl. Math. 397 (2021), Paper No. 113645, 11 pp.

    22. pdf 2021-q Xie, Ziqing; Zhang, Shangyou Accurate numerical integration for the quadrilateral and hexahedral finite elements. Numer. Methods Partial Differential Equations 37 (2021), no. 3, 2446–2457.

    23. pdf 2021-59 Al-Taweel, Ahmed; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin finite element method with supercloseness of order two. Numer. Methods Partial Differential Equations 37 (2021), no. 2, 1012–1029.

    24. pdf 2021-8 Ye, Xiu; Zhang, Shangyou A numerical scheme with divergence free H−div triangular finite element for the Stokes equations. Appl. Numer. Math. 167 (2021), 211–217.

    25. pdf 2021-7 Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou A conforming discontinuous Galerkin finite element method on rectangular partitions. Electron. Res. Arch. 29 (2021), no. 3, 2375–2389.

    26. pdf 2021-6 Ye, Xiu; Zhang, Shangyou A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes. Internat. J. Numer. Methods Fluids 93 (2021), no. 6, 1913–1928.

    27. pdf 2021-5 Ye, Xiu; Zhang, Shangyou A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction. Discrete Contin. Dyn. Syst. Ser. B 26 (2021), no. 8, 4131–4145.

    28. pdf 2021-h Ye, Xiu; Zhang, Shangyou A stabilizer-free pressure-robust finite element method for the Stokes equations. Adv. Comput. Math. 47 (2021), no. 2, Paper No. 28, 17 pp.

    29. pdf 2021-s2 Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II. J. Comput. Appl. Math. 394 (2021), Paper No. 113525, 11 pp.

    30. pdf 2021-s3 Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III. J. Comput. Appl. Math. 394 (2021), Paper No. 113538, 9 pp.

    31. pdf 2021-pl Ye, Xiu; Zhang, Shangyou; A weak Galerkin finite element method for p-Laplacian problem. East Asian J. Appl. Math. 11 (2021), no. 2, 219–233.

    32. pdf 2021-e Zhang, Shangyou Erratum to "A C1-P2 finite element without nodal basis''. ESAIM Math. Model. Numer. Anal. 55 (2021), suppl., S877–S878.

    33. pdf 2021-33 Cui, Ming; Ye, Xiu; Zhang, Shangyou A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes. Commun. Appl. Math. Comput. 3 (2021), no. 1, 91–105.

    34. pdf 2021-35 Ye, Xiu; Zhang, Shangyou A Pk+2 polynomial lifting operator on polygons and polyhedrons. Appl. Math. Lett. 116 (2021), Paper No. 107033, 6 pp.

    35. pdf 2021-37 Sorokina, Tatyana; Zhang, Shangyou Trivariate interpolated Galerkin finite elements for the Poisson equation. Approximation theory XVI, 237–249, Springer Proc. Math. Stat., 336, Springer, Cham, [2021], ©2021.

    36. pdf 2021-1 Ye, Xiu; Zhang, Shangyou; Zhu, Peng A weak Galerkin finite element method for nonlinear conservation laws. Electron. Res. Arch. 29 (2021), no. 1, 1897–1923.