Shangyou Zhang
Orcid: 0000-0002-1114-4179
According to our database1,
Shangyou Zhang
authored at least 93 papers
between 1997 and 2024.
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Bibliography
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
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
Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations.
CoRR, 2023
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
J. Comput. Appl. Math., 2021
J. Comput. Appl. Math., 2021
J. Comput. Appl. Math., 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
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
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
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
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
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
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
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