Shangyou Zhang

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 81

Top Topics

Triangular Mesh

Diffuse Optical Tomography

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Dan Li, Chunmei Wang, Junping Wang, Shangyou Zhang
High order Morley elements for biharmonic equations on polytopal partitions. J. Comput. Appl. Math. 443 (2024)
Xiu Ye, Shangyou Zhang
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes. J. Comput. Appl. Math. 440 (2024)
Xiu Ye, Shangyou Zhang
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. Adv. Comput. Math. 50 (1) (2024)
Dan Li, Chunmei Wang, Shangyou Zhang
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. CoRR (2023)
Dan Li, Chunmei Wang, Junping Wang, Shangyou Zhang
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions. CoRR (2023)
Xiuli Wang, Xianglong Meng, Shangyou Zhang, Huifang Zhou
A modified weak Galerkin finite element method for the linear elasticity problem in mixed form. J. Comput. Appl. Math. 420 (2023)
Shangyou Zhang
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow. J. Num. Math. 31 (3) (2023)
Chunmei Wang, Junping Wang, Shangyou Zhang
Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations. CoRR (2023)
Chunmei Wang, Xiu Ye, Shangyou Zhang
A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. CoRR (2023)
Gang Chen, Lu Zhang, Shangyou Zhang
Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes. CoRR (2023)
Chunmei Wang, Shangyou Zhang
A weak Galerkin method for elasticity interface problems. J. Comput. Appl. Math. 419 (2023)
Qigang Liang, Xuejun Xu, Shangyou Zhang
On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω). CoRR (2023)
Chunmei Wang, Junping Wang, Shangyou Zhang
Weak Galerkin finite element methods for quad-curl problems. J. Comput. Appl. Math. 428 (2023)
Junping Wang, Xiu Ye, Shangyou Zhang
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions. J. Num. Math. 31 (2) (2023)
Yanping Lin, Mo Mu, Shangyou Zhang
Stabilizer-free polygonal and polyhedral virtual elements. CoRR (2023)
Yanping Lin, Xuejun Xu, Shangyou Zhang
Superconvergent P1 honeycomb virtual elements and lifted P3 solutions. CoRR (2023)
Xuejun Xu, Shangyou Zhang
A family of stabilizer-free virtual elements on triangular meshes. CoRR (2023)
Tatyana Sorokina, Shangyou Zhang
An Interpolated Galerkin Finite Element Method for the Poisson Equation. J. Sci. Comput. 92 (2) (2022)
Xiu Ye, Shangyou Zhang
A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. J. Num. Math. 30 (3) (2022)
Chunmei Wang, Junping Wang, Shangyou Zhang
Weak Galerkin Finite Element Methods for Quad-Curl Problems. CoRR (2022)
Xiaoshen Wang, Xiu Ye, Shangyou Zhang, Peng Zhu
A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation. J. Comput. Appl. Math. 401 (2022)
Xiu Ye, Shangyou Zhang, Peng Zhu
Development of a LDG method on polytopal mesh with optimal order of convergence. J. Comput. Appl. Math. 410 (2022)
Tie Zhang, Shangyou Zhang
An explicit weak Galerkin method for solving the first order hyperbolic systems. J. Comput. Appl. Math. 412 (2022)
Chunmei Wang, Junping Wang, Shangyou Zhang
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. CoRR (2022)
Shangyou Zhang
finite elements on tetrahedral and 4D simplicial grids. CoRR (2022)
Chunmei Wang, Shangyou Zhang
A Weak Galerkin Method for Elasticity Interface Problems. CoRR (2021)
Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang
de Rham complexes for weak Galerkin finite element spaces. J. Comput. Appl. Math. 397 (2021)
Lin Mu, Xiu Ye, Shangyou Zhang
Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem. J. Sci. Comput. 89 (1) (2021)
Lin Mu, Xiu Ye, Shangyou Zhang
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh. SIAM J. Sci. Comput. 43 (4) (2021)
Xiaoshen Wang, Xiu Ye, Shangyou Zhang
Weak Galerkin finite element methods with or without stabilizers. Numer. Algorithms 88 (3) (2021)
Xiu Ye, Shangyou Zhang
A Pk+2 polynomial lifting operator on polygons and polyhedrons. Appl. Math. Lett. 116 (2021)
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III. J. Comput. Appl. Math. 394 (2021)
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II. J. Comput. Appl. Math. 394 (2021)
Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang
A weak Galerkin-mixed finite element method for the Stokes-Darcy problem. CoRR (2021)
Xiu Ye, Shangyou Zhang
A stabilizer-free pressure-robust finite element method for the Stokes equations. Adv. Comput. Math. 47 (2) (2021)
Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang
De Rham Complexes for Weak Galerkin Finite Element Spaces. CoRR (2020)
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III. CoRR (2020)
Xiu Ye, Shangyou Zhang, Peng Zhu
A discontinuous Galerkin least-squares method for div-curl systems. J. Comput. Appl. Math. 367 (2020)
Ming Cui, Shangyou Zhang
On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation. J. Sci. Comput. 82 (1) (2020)
Xiu Ye, Shangyou Zhang
A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh. CoRR (2020)
Xiu Ye, Shangyou Zhang
A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes. CoRR (2020)
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II. CoRR (2020)
Xiu Ye, Shangyou Zhang, Zhimin Zhang
A new P1 weak Galerkin method for the Biharmonic equation. J. Comput. Appl. Math. 364 (2020)
Yin Yang, Jindi Wang, Shangyou Zhang, Emran Tohidi
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Appl. Math. Comput. 387 (2020)
Xiu Ye, Shangyou Zhang, Zhimin Zhang
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. Comput. Math. Appl. 80 (5) (2020)
Tie Zhang, Shangyou Zhang
The weak Galerkin finite element method for the transport-reaction equation. J. Comput. Phys. 410 (2020)
Xiu Ye, Shangyou Zhang
A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes. SIAM J. Numer. Anal. 58 (5) (2020)
Xiu Ye, Shangyou Zhang
A stabilizer-free weak Galerkin finite element method on polytopal meshes. J. Comput. Appl. Math. 371 (2020)
Tie Zhang, Shangyou Zhang
The Weak Galerkin Finite Element Method for the Symmetric Hyperbolic Systems. CoRR (2020)
Tie Zhang, Shangyou Zhang
The Weak Galerkin Finite Element Method for the Transport-Reaction Equation. CoRR (2020)
Yanping Lin, Xiu Ye, Shangyou Zhang
A mixed finite element method on polytopal mesh. CoRR (2020)
Xiu Ye, Shangyou Zhang
polynomial lifting operator on polygons and polyhedrons. CoRR (2020)
Ahmed Al-Taweel, Xiaoshen Wang, Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin element method with supercloseness of order two. CoRR (2020)
Xiu Ye, Shangyou Zhang
Numerical investigation on weak Galerkin finite elements. CoRR (2020)
Xiu Ye, Shangyou Zhang
A stabilizer-free pressure-robust finite element method for the Stokes equations. CoRR (2020)
Tie Zhang, Shangyou Zhang
The weak Galerkin finite element method for the symmetric hyperbolic systems. J. Comput. Appl. Math. 365 (2020)
Qilong Zhai, Tian Tian, Ran Zhang, Shangyou Zhang
A symmetric weak Galerkin method for solving non-divergence form elliptic equations. J. Comput. Appl. Math. 372 (2020)
Lin Mu, Xiu Ye, Shangyou Zhang
A stabilizer free, pressure robust, and superconvergence weak Galerkin finite element method for the Stokes Equations on polytopal mesh. CoRR (2020)
Tatyana Sorokina, Shangyou Zhang
An interpolated Galerkin finite element method for the Poisson equation. CoRR (2020)
Xiu Ye, Shangyou Zhang
A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction. CoRR (2020)
Yin Yang, Wanying Qiao, Jindi Wang, Shangyou Zhang
Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis. Comput. Math. Appl. 78 (5) (2019)
Jun Hu, Shudan Tian, Shangyou Zhang
-nonconforming tetrahedral finite elements for the biharmonic equation. CoRR (2019)
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin method for the Biharmonic Equation on Polytopal Meshes. CoRR (2019)
Yunqing Huang, Jichun Li, Shangyou Zhang
Continuous mixed finite elements for the second order elliptic equation with a low order term. J. Comput. Appl. Math. 357 (2019)
Jun Hu, Shangyou Zhang, Zhimin Zhang
On the 2pth-Order of Convergence of the Galerkin Difference Method. SIAM J. Numer. Anal. 57 (5) (2019)
Xiu Ye, Shangyou Zhang
On stabilizer-free weak Galerkin finite element methods on polytopal meshes. CoRR (2019)
Huo-Yuan Duan, Wei Liu, Junhua Ma, Roger C. E. Tan, Shangyou Zhang
A family of optimal Lagrange elements for Maxwell's equations. J. Comput. Appl. Math. 358 (2019)
Xiu Ye, Shangyou Zhang
A conforming DG method for the biharmonic equation on polytopal meshes. CoRR (2019)
Huo-Yuan Duan, Zhijie Du, Wei Liu, Shangyou Zhang
New Mixed Elements for Maxwell Equations. SIAM J. Numer. Anal. 57 (1) (2019)
Xiu Ye, Shangyou Zhang
A conforming discontinuous Galerkin finite element method: Part II. CoRR (2019)
Junping Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Math. Comput. 88 (315) (2019)
Xiu Ye, Shangyou Zhang, Yunrong Zhu
Stablizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs. CoRR (2019)
Xiu Ye, Shangyou Zhang
A discontinuous least-squares finite-element method for second-order elliptic equations. Int. J. Comput. Math. 96 (3) (2019)
Runchang Lin, Xiu Ye, Shangyou Zhang, Peng Zhu
A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 56 (3) (2018)
Jichun Li, Xiu Ye, Shangyou Zhang
A weak Galerkin least-squares finite element method for div-curl systems. J. Comput. Phys. 363 (2018)
Shangyou Zhang
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Comput. Math. Appl. 74 (11) (2017)
Jun Hu, Hongying Man, Jianye Wang, Shangyou Zhang
The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids. Comput. Math. Appl. 71 (7) (2016)
Shangyou Zhang, Mo Mu
mixed finite elements with discontinuous pressure. J. Comput. Appl. Math. 301 (2016)
Jun Hu, Shangyou Zhang
rectangular grids. Math. Comput. 84 (292) (2015)
Chunmei Wang, Shangyou Zhang, Jinru Chen
A Unified Mortar Condition for Nonconforming Finite Elements. J. Sci. Comput. 62 (1) (2015)
Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang
A Weak Galerkin Finite Element Method for the Maxwell Equations. J. Sci. Comput. 65 (1) (2015)
George C. Hsiao, Liwei Xu, Shangyou Zhang
Solving Negative Order Equations by the Multigrid Method Via Variable Substitution. J. Sci. Comput. 59 (2) (2014)
Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang
A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 59 (2) (2014)
Jun Hu, Hongying Man, Shangyou Zhang
A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension. J. Sci. Comput. 58 (2) (2014)
Lizhen Qin, Shangyou Zhang, Zhimin Zhang
Finite Element Formulation in Flat Coordinate Spaces to Solve Elliptic Problems on General Closed Riemannian Manifolds. SIAM J. Sci. Comput. 36 (5) (2014)
Shangyou Zhang
≥6. Math. Comput. 80 (274) (2011)
Jun Hu, Yunqing Huang, Shangyou Zhang
The Lowest Order Differentiable Finite Element on Rectangular Grids. SIAM J. Numer. Anal. 49 (4) (2011)
Xuejun Xu, Shangyou Zhang
A New Divergence-Free Interpolation Operator with Applications to the Darcy--Stokes--Brinkman Equations. SIAM J. Sci. Comput. 32 (2) (2010)
Shangyou Zhang
Divergence-Free Finite Elements on Rectangular Grids. SIAM J. Numer. Anal. 47 (3) (2009)
David O. Olagunju, Anand B. Vyas, Shangyou Zhang
Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer. SIAM J. Appl. Math. 68 (5) (2008)
Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang
-cycle methods". Math. Comput. 76 (260) (2007)
Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang
A generalized BPX multigrid framework covering nonnested V-cycle methods. Math. Comput. 76 (257) (2007)
Shangyou Zhang
Anisotropic Nested Refinement of Tetrahedral Grids Under the Hessian Metric. CSC (2005)
Shangyou Zhang
A new family of stable mixed finite elements for the 3D Stokes equations. Math. Comput. 74 (250) (2005)
Shangyou Zhang, David O. Olagunju
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Appl. Math. Comput. 171 (2) (2005)
Shangyou Zhang
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Numerische Mathematik 98 (3) (2004)
Shangyou Zhang, Zhimin Zhang
Treatments of discontinuity and bubble functions in the multigrid method. Math. Comput. 66 (219) (1997)