Shangyou Zhang

According to our database1, Shangyou Zhang authored at least 38 papers between 1997 and 2020.

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Bibliography

2020
The weak Galerkin finite element method for the symmetric hyperbolic systems.
J. Computational Applied Mathematics, 2020

A new P1 weak Galerkin method for the Biharmonic equation.
J. Computational Applied Mathematics, 2020

2019
On the 2pth-Order of Convergence of the Galerkin Difference Method.
SIAM J. Numerical Analysis, 2019

New Mixed Elements for Maxwell Equations.
SIAM J. Numerical Analysis, 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. Computational Applied Mathematics, 2019

A family of optimal Lagrange elements for Maxwell's equations.
J. Computational Applied Mathematics, 2019

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

3D H2-nonconforming tetrahedral finite elements for the biharmonic equation.
CoRR, 2019

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

A stabilizer free weak Galerkin 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.
Computers & Mathematics with Applications, 2019

2018
A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion-Reaction Problems.
SIAM J. Numerical Analysis, 2018

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

2017
A P4 bubble enriched P3 divergence-free finite element on triangular grids.
Computers & Mathematics with Applications, 2017

2016
Stable Qk-Qk-1 mixed finite elements with discontinuous pressure.
J. Computational Applied Mathematics, 2016

The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids.
Computers & Mathematics with Applications, 2016

2015
The minimal conforming Hk finite element spaces on Rn 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. Scientific Computing, 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. Numerical Analysis, 2011

Divergence-free finite elements on tetrahedral grids for k≥6.
Math. Comput., 2011

2010
A New Divergence-Free Interpolation Operator with Applications to the Darcy--Stokes--Brinkman Equations.
SIAM J. Scientific Computing, 2010

2009
A Family of Qk+1, k˟Qk, k+1 Divergence-Free Finite Elements on Rectangular Grids.
SIAM J. Numerical Analysis, 2009

2008
Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer.
SIAM Journal of Applied Mathematics, 2008

2007
Errata to "A generalized BPX multigrid framework covering nonnested V-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.
Applied Mathematics and Computation, 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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