Shangyou Zhang

According to our database, Shangyou Zhang authored at least 100 papers between 1997 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of four.

2024

Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes.

Shangyou Zhang

Comput. Methods Appl. Math., October, 2024

A 𝐶1-𝑃7 Bell Finite Element on Triangle.

Xuejun Xu, Shangyou Zhang

Comput. Methods Appl. Math., October, 2024

On an accurate numerical integration for the triangular and tetrahedral spectral finite elements.

Ziqing Xie, Shangyou Zhang

Adv. Comput. Math., August, 2024

Conforming and Nonconforming Virtual Element Methods for Signorini Problems.

Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang, Shangyou Zhang

J. Sci. Comput., July, 2024

High order Morley elements for biharmonic equations on polytopal partitions.

Dan Li, Chunmei Wang, Junping Wang, Shangyou Zhang

J. Comput. Appl. Math., June, 2024

A Modified Rotated-Q₁ Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes.

Liwei Xu, Xuejun Xu, Shangyou Zhang

J. Sci. Comput., April, 2024

Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes.

Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., April, 2024

Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations.

Xiu Ye, Shangyou Zhang

Adv. Comput. Math., February, 2024

Corrigendum to "A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach" [Journal of Computational and Applied Mathematics 445 (2024) 115819].

Yuping Zeng, Liuqiang Zhong, Feng Wang, Shangyou Zhang, Mingchao Cai

J. Comput. Appl. Math., 2024

A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach.

Yuping Zeng, Liuqiang Zhong, Feng Wang, Shangyou Zhang, Mingchao Cai

J. Comput. Appl. Math., 2024

Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem.

Yuping Zeng, Liuqiang Zhong, Feng Wang, Mingchao Cai, Shangyou Zhang

J. Comput. Appl. Math., 2024

A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes.

Chunmei Wang, Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., 2024

Weak Galerkin finite element methods for optimal control problems governed by second order elliptic equations.

Chunmei Wang, Junping Wang, Shangyou Zhang

J. Comput. Appl. Math., 2024

Weak Galerkin methods for elliptic interface problems on curved polygonal partitions.

Dan Li, Chunmei Wang, Shangyou Zhang

J. Comput. Appl. Math., 2024

Efficient Weak Galerkin Finite Element Methods for Maxwell Equations on polyhedral Meshes without Convexity Constraints.

Chunmei Wang, Shangyou Zhang

CoRR, 2024

A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids.

Shangyou Zhang

CoRR, 2024

A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids.

Xuejun Xu, Shangyou Zhang

CoRR, 2024

Convergent finite elements on arbitrary meshes, the WG method.

Ran Zhang, Shangyou Zhang

CoRR, 2024

New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains.

Duk-Soon Oh, Shangyou Zhang

CoRR, 2024

An H-div finite element method for the Stokes equations on polytopal meshes.

Xiu Ye, Shangyou Zhang

Comput. Appl. Math., 2024

2023

A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow.

Shangyou Zhang

J. Num. Math., September, 2023

Weak Galerkin finite element methods for quad-curl problems.

Chunmei Wang, Junping Wang, Shangyou Zhang

J. Comput. Appl. Math., August, 2023

A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions.

Junping Wang, Xiu Ye, Shangyou Zhang

J. Num. Math., June, 2023

A weak Galerkin method for elasticity interface problems.

Chunmei Wang, Shangyou Zhang

J. Comput. Appl. Math., 2023

A modified weak Galerkin finite element method for the linear elasticity problem in mixed form.

Xiuli Wang, Xianglong Meng, Shangyou Zhang, Huifang Zhou

J. Comput. Appl. Math., 2023

Superconvergent P1 honeycomb virtual elements and lifted P3 solutions.

Yanping Lin, Xuejun Xu, Shangyou Zhang

CoRR, 2023

Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations.

Chunmei Wang, Junping Wang, Shangyou Zhang

CoRR, 2023

Stabilizer-free polygonal and polyhedral virtual elements.

Yanping Lin, Mo Mu, Shangyou Zhang

CoRR, 2023

A family of stabilizer-free virtual elements on triangular meshes.

Xuejun Xu, Shangyou Zhang

CoRR, 2023

Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes.

Gang Chen, Lu Zhang, Shangyou Zhang

CoRR, 2023

On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω).

Qigang Liang, Xuejun Xu, Shangyou Zhang

CoRR, 2023

2022

An Interpolated Galerkin Finite Element Method for the Poisson Equation.

Tatyana Sorokina, Shangyou Zhang

J. Sci. Comput., 2022

A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron.

Xiu Ye, Shangyou Zhang

J. Num. Math., 2022

An explicit weak Galerkin method for solving the first order hyperbolic systems.

Tie Zhang, Shangyou Zhang

J. Comput. Appl. Math., 2022

Development of a LDG method on polytopal mesh with optimal order of convergence.

Xiu Ye, Shangyou Zhang, Peng Zhu

J. Comput. Appl. Math., 2022

A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation.

Xiaoshen Wang, Xiu Ye, Shangyou Zhang, Peng Zhu

J. Comput. Appl. Math., 2022

A parallel iterative procedure for weak Galerkin methods for second order elliptic problems.

Chunmei Wang, Junping Wang, Shangyou Zhang

CoRR, 2022

The nodal basis of C^m-P_k³ and C^m-P_k⁴ finite elements on tetrahedral and 4D simplicial grids.

Shangyou Zhang

CoRR, 2022

2021

A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh.

Lin Mu, Xiu Ye, Shangyou Zhang

SIAM J. Sci. Comput., 2021

Weak Galerkin finite element methods with or without stabilizers.

Xiaoshen Wang, Xiu Ye, Shangyou Zhang

Numer. Algorithms, 2021

Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem.

Lin Mu, Xiu Ye, Shangyou Zhang

J. Sci. Comput., 2021

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III.

Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., 2021

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II.

Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., 2021

de Rham complexes for weak Galerkin finite element spaces.

Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., 2021

A weak Galerkin-mixed finite element method for the Stokes-Darcy problem.

Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang

CoRR, 2021

A Pk+2 polynomial lifting operator on polygons and polyhedrons.

Xiu Ye, Shangyou Zhang

Appl. Math. Lett., 2021

A stabilizer-free pressure-robust finite element method for the Stokes equations.

Xiu Ye, Shangyou Zhang

Adv. Comput. Math., 2021

2020

A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes.

Xiu Ye, Shangyou Zhang

SIAM J. Numer. Anal., 2020

On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation.

Ming Cui, Shangyou Zhang

J. Sci. Comput., 2020

The weak Galerkin finite element method for the transport-reaction equation.

Tie Zhang, Shangyou Zhang

J. Comput. Phys., 2020

The weak Galerkin finite element method for the symmetric hyperbolic systems.

Tie Zhang, Shangyou Zhang

J. Comput. Appl. Math., 2020

A symmetric weak Galerkin method for solving non-divergence form elliptic equations.

Qilong Zhai, Tian Tian, Ran Zhang, Shangyou Zhang

J. Comput. Appl. Math., 2020

A discontinuous Galerkin least-squares method for div-curl systems.

Xiu Ye, Shangyou Zhang, Peng Zhu

J. Comput. Appl. Math., 2020

A new P1 weak Galerkin method for the Biharmonic equation.

Xiu Ye, Shangyou Zhang, Zhimin Zhang

J. Comput. Appl. Math., 2020

A stabilizer-free weak Galerkin finite element method on polytopal meshes.

Xiu Ye, Shangyou Zhang

J. Comput. Appl. Math., 2020

A P_k+2 polynomial lifting operator on polygons and polyhedrons.

Xiu Ye, Shangyou Zhang

CoRR, 2020

A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh.

Xiu Ye, Shangyou Zhang

CoRR, 2020

A mixed finite element method on polytopal mesh.

Yanping Lin, Xiu Ye, Shangyou Zhang

CoRR, 2020

A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes.

Xiu Ye, Shangyou Zhang

CoRR, 2020

A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction.

Xiu Ye, Shangyou Zhang

CoRR, 2020

Numerical investigation on weak Galerkin finite elements.

Xiu Ye, Shangyou Zhang

CoRR, 2020

A stabilizer free weak Galerkin element method with supercloseness of order two.

Ahmed Al-Taweel, Xiaoshen Wang, Xiu Ye, Shangyou Zhang

CoRR, 2020

A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes.

Xiu Ye, Shangyou Zhang, Zhimin Zhang

Comput. Math. Appl., 2020

Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations.

Yin Yang, Jindi Wang, Shangyou Zhang, Emran Tohidi

Appl. Math. Comput., 2020

2019

On the 2pth-Order of Convergence of the Galerkin Difference Method.

Jun Hu, Shangyou Zhang, Zhimin Zhang

SIAM J. Numer. Anal., 2019

New Mixed Elements for Maxwell Equations.

Huo-Yuan Duan, Zhijie Du, Wei Liu, Shangyou Zhang

SIAM J. Numer. Anal., 2019

A weak Galerkin finite element scheme for the Cahn-Hilliard equation.

Junping Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang

Math. Comput., 2019

Continuous mixed finite elements for the second order elliptic equation with a low order term.

Yunqing Huang, Jichun Li, Shangyou Zhang

J. Comput. Appl. Math., 2019

A family of optimal Lagrange elements for Maxwell's equations.

Huo-Yuan Duan, Wei Liu, Junhua Ma, Roger C. E. Tan, Shangyou Zhang

J. Comput. Appl. Math., 2019

A discontinuous least-squares finite-element method for second-order elliptic equations.

Xiu Ye, Shangyou Zhang

Int. J. Comput. Math., 2019

Stablizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs.

Xiu Ye, Shangyou Zhang, Yunrong Zhu

CoRR, 2019

3D H²-nonconforming tetrahedral finite elements for the biharmonic equation.

Jun Hu, Shudan Tian, Shangyou Zhang

CoRR, 2019

A conforming DG method for the biharmonic equation on polytopal meshes.

Xiu Ye, Shangyou Zhang

CoRR, 2019

A conforming discontinuous Galerkin finite element method: Part II.

Xiu Ye, Shangyou Zhang

CoRR, 2019

On stabilizer-free weak Galerkin finite element methods on polytopal meshes.

Xiu Ye, Shangyou Zhang

CoRR, 2019

Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis.

Yin Yang, Wanying Qiao, Jindi Wang, Shangyou Zhang

Comput. Math. Appl., 2019

2018

A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion-Reaction Problems.

Runchang Lin, Xiu Ye, Shangyou Zhang, Peng Zhu

SIAM J. Numer. Anal., 2018

A weak Galerkin least-squares finite element method for div-curl systems.

Jichun Li, Xiu Ye, Shangyou Zhang

J. Comput. Phys., 2018

2017

A P4 bubble enriched P3 divergence-free finite element on triangular grids.

Shangyou Zhang

Comput. Math. Appl., 2017

2016

Stable Q_k-Q_k-1 mixed finite elements with discontinuous pressure.

Shangyou Zhang, Mo Mu

J. Comput. Appl. Math., 2016

The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids.

Jun Hu, Hongying Man, Jianye Wang, Shangyou Zhang

Comput. Math. Appl., 2016

2015

The minimal conforming H^k finite element spaces on Rⁿ rectangular grids.

Jun Hu, Shangyou Zhang

Math. Comput., 2015

A Unified Mortar Condition for Nonconforming Finite Elements.

Chunmei Wang, Shangyou Zhang, Jinru Chen

J. Sci. Comput., 2015

A Weak Galerkin Finite Element Method for the Maxwell Equations.

Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang

J. Sci. Comput., 2015

2014

Finite Element Formulation in Flat Coordinate Spaces to Solve Elliptic Problems on General Closed Riemannian Manifolds.

Lizhen Qin, Shangyou Zhang, Zhimin Zhang

SIAM J. Sci. Comput., 2014

A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation.

Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang

J. Sci. Comput., 2014

A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension.

Jun Hu, Hongying Man, Shangyou Zhang

J. Sci. Comput., 2014

Solving Negative Order Equations by the Multigrid Method Via Variable Substitution.

George C. Hsiao, Liwei Xu, Shangyou Zhang

J. Sci. Comput., 2014

2011

The Lowest Order Differentiable Finite Element on Rectangular Grids.

Jun Hu, Yunqing Huang, Shangyou Zhang

SIAM J. Numer. Anal., 2011

Divergence-free finite elements on tetrahedral grids for <i>k</i>≥6.

Shangyou Zhang

Math. Comput., 2011

2010

A New Divergence-Free Interpolation Operator with Applications to the Darcy--Stokes--Brinkman Equations.

Xuejun Xu, Shangyou Zhang

SIAM J. Sci. Comput., 2010

2009

A Family of Q_{k+1, k}˟Q_{k, k+1} Divergence-Free Finite Elements on Rectangular Grids.

Shangyou Zhang

SIAM J. Numer. Anal., 2009

2008

Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer.

David O. Olagunju, Anand B. Vyas, Shangyou Zhang

SIAM J. Appl. Math., 2008

2007

Errata to "A generalized BPX multigrid framework covering nonnested <i>V</i>-cycle methods".

Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang

Math. Comput., 2007

A generalized BPX multigrid framework covering nonnested V-cycle methods.

Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang

Math. Comput., 2007

2005

A new family of stable mixed finite elements for the 3D Stokes equations.

Shangyou Zhang

Math. Comput., 2005

Axisymmetric finite element solution of non-isothermal parallel-plate flow.

Shangyou Zhang, David O. Olagunju

Appl. Math. Comput., 2005

Anisotropic Nested Refinement of Tetrahedral Grids Under the Hessian Metric.

Shangyou Zhang

Proceedings of The 2005 International Conference on Scientific Computing, 2005

2004

On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation.

Shangyou Zhang

Numerische Mathematik, 2004

1997

Treatments of discontinuity and bubble functions in the multigrid method.

Shangyou Zhang, Zhimin Zhang

Math. Comput., 1997