Shangyou Zhang

Orcid: 0000-0002-1114-4179

According to our database1, Shangyou Zhang authored at least 97 papers between 1997 and 2024.

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Bibliography

2024
On an accurate numerical integration for the triangular and tetrahedral spectral finite elements.
Adv. Comput. Math., August, 2024

Conforming and Nonconforming Virtual Element Methods for Signorini Problems.
J. Sci. Comput., July, 2024

High order Morley elements for biharmonic equations on polytopal partitions.
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

Convergent finite elements on arbitrary meshes, the WG method.
CoRR, 2024

New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains.
CoRR, 2024

An H-div finite element method for the Stokes equations on polytopal meshes.
Comput. Appl. Math., 2024

2023
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow.
J. Num. Math., September, 2023

Weak Galerkin finite element methods for quad-curl problems.
J. Comput. Appl. Math., August, 2023

A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions.
J. Num. Math., June, 2023

A weak Galerkin method for elasticity interface problems.
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

Superconvergent P1 honeycomb virtual elements and lifted P3 solutions.
CoRR, 2023

Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations.
CoRR, 2023

Stabilizer-free polygonal and polyhedral virtual elements.
CoRR, 2023

A family of stabilizer-free virtual elements on triangular meshes.
CoRR, 2023

Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes.
CoRR, 2023

On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω).
CoRR, 2023

2022
An Interpolated Galerkin Finite Element Method for the Poisson Equation.
J. Sci. Comput., 2022

A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron.
J. Num. Math., 2022

An explicit weak Galerkin method for solving the first order hyperbolic systems.
J. Comput. Appl. Math., 2022

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

Weak Galerkin finite element methods with or without stabilizers.
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

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II.
J. Comput. Appl. Math., 2021

de Rham complexes for weak Galerkin finite element spaces.
J. Comput. Appl. Math., 2021

A weak Galerkin-mixed finite element method for the Stokes-Darcy problem.
CoRR, 2021

A Pk+2 polynomial lifting operator on polygons and polyhedrons.
Appl. Math. Lett., 2021

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

The weak Galerkin finite element method for the transport-reaction equation.
J. Comput. Phys., 2020

The weak Galerkin finite element method for the symmetric hyperbolic systems.
J. Comput. Appl. Math., 2020

A symmetric weak Galerkin method for solving non-divergence form elliptic equations.
J. Comput. Appl. Math., 2020

A discontinuous Galerkin least-squares method for div-curl systems.
J. Comput. Appl. Math., 2020

A new P1 weak Galerkin method for the Biharmonic equation.
J. Comput. Appl. Math., 2020

A stabilizer-free weak Galerkin finite element method on polytopal meshes.
J. Comput. Appl. Math., 2020

A P<sub>k+2</sub> polynomial lifting operator on polygons and polyhedrons.
CoRR, 2020

A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh.
CoRR, 2020

A mixed finite element method on polytopal mesh.
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

Numerical investigation on weak Galerkin finite elements.
CoRR, 2020

A stabilizer free weak Galerkin element method with supercloseness of order two.
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
On the 2pth-Order of Convergence of the Galerkin Difference Method.
SIAM J. Numer. Anal., 2019

New Mixed Elements for Maxwell Equations.
SIAM J. Numer. Anal., 2019

A weak Galerkin finite element scheme for the Cahn-Hilliard equation.
Math. Comput., 2019

Continuous mixed finite elements for the second order elliptic equation with a low order term.
J. Comput. Appl. Math., 2019

A family of optimal Lagrange elements for Maxwell's equations.
J. Comput. Appl. Math., 2019

A discontinuous least-squares finite-element method for second-order elliptic equations.
Int. J. Comput. Math., 2019

Stablizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs.
CoRR, 2019

3D H<sup>2</sup>-nonconforming tetrahedral finite elements for the biharmonic equation.
CoRR, 2019

A conforming DG method for the biharmonic equation on polytopal meshes.
CoRR, 2019

A conforming discontinuous Galerkin finite element method: Part II.
CoRR, 2019

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

A weak Galerkin least-squares finite element method for div-curl systems.
J. Comput. Phys., 2018

2017
A P4 bubble enriched P3 divergence-free finite element on triangular grids.
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

A Unified Mortar Condition for Nonconforming Finite Elements.
J. Sci. Comput., 2015

A Weak Galerkin Finite Element Method for the Maxwell Equations.
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

A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation.
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
The Lowest Order Differentiable Finite Element on Rectangular Grids.
SIAM J. Numer. Anal., 2011

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

A generalized BPX multigrid framework covering nonnested V-cycle methods.
Math. Comput., 2007

2005
A new family of stable mixed finite elements for the 3D Stokes equations.
Math. Comput., 2005

Axisymmetric finite element solution of non-isothermal parallel-plate flow.
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
Treatments of discontinuity and bubble functions in the multigrid method.
Math. Comput., 1997


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