# Shangyou Zhang

Orcid: 0000-0002-1114-4179
According to our database

Collaborative distances:

^{1}, Shangyou Zhang authored at least 97 papers between 1997 and 2024.Collaborative distances:

## Timeline

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## Bibliography

2024

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

Adv. Comput. Math., August, 2024

J. Sci. Comput., July, 2024

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

A Modified Rotated-Q<sub>1</sub> Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes.

J. Sci. Comput., April, 2024

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

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

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

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].

J. Comput. Appl. Math., 2024

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

J. Comput. Appl. Math., 2024

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

J. Comput. Appl. Math., 2024

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

J. Comput. Appl. Math., 2024

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

J. Comput. Appl. Math., 2024

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

J. Comput. Appl. Math., 2024

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

CoRR, 2024

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

CoRR, 2024

CoRR, 2024

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

CoRR, 2024

Comput. Appl. Math., 2024

2023

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

J. Num. Math., September, 2023

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

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

J. Num. Math., June, 2023

J. Comput. Appl. Math., 2023

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

J. Comput. Appl. Math., 2023

CoRR, 2023

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

CoRR, 2023

CoRR, 2023

CoRR, 2023

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

CoRR, 2023

CoRR, 2023

2022

J. Sci. Comput., 2022

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

J. Num. Math., 2022

J. Comput. Appl. Math., 2022

J. Comput. Appl. Math., 2022

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

J. Comput. Appl. Math., 2022

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

CoRR, 2022

The nodal basis of C<sup>m</sup>-P<sub>k</sub><sup>3</sup> and C<sup>m</sup>-P<sub>k</sub><sup>4</sup> finite elements on tetrahedral and 4D simplicial grids.

CoRR, 2022

2021

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

SIAM J. Sci. Comput., 2021

Numer. Algorithms, 2021

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

J. Sci. Comput., 2021

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

J. Comput. Appl. Math., 2021

J. Comput. Appl. Math., 2021

J. Comput. Appl. Math., 2021

CoRR, 2021

Appl. Math. Lett., 2021

Adv. Comput. Math., 2021

2020

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

SIAM J. Numer. Anal., 2020

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

J. Sci. Comput., 2020

J. Comput. Phys., 2020

J. Comput. Appl. Math., 2020

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

J. Comput. Appl. Math., 2020

J. Comput. Appl. Math., 2020

J. Comput. Appl. Math., 2020

J. Comput. Appl. Math., 2020

CoRR, 2020

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

CoRR, 2020

CoRR, 2020

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

CoRR, 2020

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

CoRR, 2020

CoRR, 2020

CoRR, 2020

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

Comput. Math. Appl., 2020

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

Appl. Math. Comput., 2020

2019

SIAM J. Numer. Anal., 2019

SIAM J. Numer. Anal., 2019

Math. Comput., 2019

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

J. Comput. Appl. Math., 2019

J. Comput. Appl. Math., 2019

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

Int. J. Comput. Math., 2019

CoRR, 2019

3D H<sup>2</sup>-nonconforming tetrahedral finite elements for the biharmonic equation.

CoRR, 2019

CoRR, 2019

CoRR, 2019

CoRR, 2019

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

Comput. Math. Appl., 2019

2018

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

SIAM J. Numer. Anal., 2018

J. Comput. Phys., 2018

2017

Comput. Math. Appl., 2017

2016

Stable Q<sub>k</sub>-Q<sub>k-1</sub> mixed finite elements with discontinuous pressure.

J. Comput. Appl. Math., 2016

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

Comput. Math. Appl., 2016

2015

The minimal conforming H<sup>k</sup> finite element spaces on R<sup>n</sup> rectangular grids.

Math. Comput., 2015

J. Sci. Comput., 2015

J. Sci. Comput., 2015

2014

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

SIAM J. Sci. Comput., 2014

J. Sci. Comput., 2014

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

J. Sci. Comput., 2014

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

J. Sci. Comput., 2014

2011

SIAM J. Numer. Anal., 2011

Math. Comput., 2011

2010

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

SIAM J. Sci. Comput., 2010

2009

A Family of Q<sub>k+1, k</sub>˟Q<sub>k, k+1</sub> Divergence-Free Finite Elements on Rectangular Grids.

SIAM J. Numer. Anal., 2009

2008

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

SIAM J. Appl. Math., 2008

2007

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

Math. Comput., 2007

Math. Comput., 2007

2005

Math. Comput., 2005

Appl. Math. Comput., 2005

Anisotropic Nested Refinement of Tetrahedral Grids Under the Hessian Metric.

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.

Numerische Mathematik, 2004

1997

Math. Comput., 1997