Xiu Ye

Orcid: 0000-0002-1559-3836

According to our database1, Xiu Ye authored at least 86 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

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

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

A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes.
CoRR, 2023

Generalized weak Galerkin finite element methods for second order elliptic problems.
CoRR, 2023

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

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 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

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

2019
A weak Galerkin finite element method for the Navier-Stokes equations.
J. Comput. Appl. Math., 2019

An a posteriori error estimator for the weak Galerkin least-squares finite-element method.
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

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

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

Interior energy error estimates for the weak Galerkin finite element method.
Numerische Mathematik, 2018

A Weak Galerkin Method for the Reissner-Mindlin Plate in Primary Form.
J. Sci. Comput., 2018

Discrete maximum principle for the <i>P</i><sub>1</sub> - <i>P</i><sub>0</sub> weak Galerkin finite element approximations.
J. Comput. Phys., 2018

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

A simple finite element method for linear hyperbolic problems.
J. Comput. Appl. Math., 2018

Weak Galerkin method for the Biot's consolidation model.
Comput. Math. Appl., 2018

Preface of 2nd Annual Meeting of SIAM Central States Section.
Comput. Math. Appl., 2018

2017
A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations.
SIAM J. Sci. Comput., 2017

A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems.
Comput. Math. Appl., 2017

Effective implementation of the weak Galerkin finite element methods for the biharmonic equation.
Comput. Math. Appl., 2017

A simple finite element method for the Stokes equations.
Adv. Comput. Math., 2017

2016
A new weak Galerkin finite element method for elliptic interface problems.
J. Comput. Phys., 2016

A hybridized formulation for the weak Galerkin mixed finite element method.
J. Comput. Appl. Math., 2016

A weak Galerkin generalized multiscale finite element method.
J. Comput. Appl. Math., 2016

A weak Galerkin finite element method for the stokes equations.
Adv. Comput. Math., 2016

2015
A Weak Galerkin Finite Element Method for the Maxwell Equations.
J. Sci. Comput., 2015

A weak Galerkin finite element method with polynomial reduction.
J. Comput. Appl. Math., 2015

A modified weak Galerkin finite element method for the Stokes equations.
J. Comput. Appl. Math., 2015

An auxiliary space multigrid preconditioner for the weak Galerkin method.
Comput. Math. Appl., 2015

2014
A weak Galerkin mixed finite element method for second order elliptic problems.
Math. Comput., 2014

A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation.
J. Sci. Comput., 2014

A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems.
J. Sci. Comput., 2014

A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods.
J. Comput. Phys., 2014

Weak Galerkin finite element methods for Darcy flow: Anisotropy and heterogeneity.
J. Comput. Phys., 2014

Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes.
J. Comput. Appl. Math., 2014

2013
A computational study of the weak Galerkin method for second-order elliptic equations.
Numer. Algorithms, 2013

Weak Galerkin methods for second order elliptic interface problems.
J. Comput. Phys., 2013

A weak Galerkin finite element method for second-order elliptic problems.
J. Comput. Appl. Math., 2013

A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation.
J. Comput. Appl. Math., 2013

Superconvergence of <i>H</i>(<i>div</i>) finite element approximations for the Stokes problem by <i>L</i><sup>2</sup>-projection methods.
Appl. Math. Comput., 2013

2012
Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity.
J. Comput. Appl. Math., 2012

L<sub>2</sub> error estimation for DGFEM for elliptic problems with low regularity.
Appl. Math. Lett., 2012

2011
A Posteriori Error Estimation for an Interior Penalty Type Method Employing $H(\mathrm{div})$ Elements for the Stokes Equations.
SIAM J. Sci. Comput., 2011

Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations.
SIAM J. Numer. Anal., 2011

A Comparative Study of Locally Conservative Numerical Methods for Darcy's Flows.
Proceedings of the International Conference on Computational Science, 2011

An adaptive discontinuous finite volume method for elliptic problems.
J. Comput. Appl. Math., 2011

2010
Unified Analysis of Finite Volume Methods for the Stokes Equations.
SIAM J. Numer. Anal., 2010

2009
A Robust Numerical Method for Stokes Equations Based on Divergence-Free H(div) Finite Element Methods.
SIAM J. Sci. Comput., 2009

2007
New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements.
SIAM J. Numer. Anal., 2007

Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2007

2006
A Discontinuous Finite Volume Method for the Stokes Problems.
SIAM J. Numer. Anal., 2006

Computational Algorithm for Higher Order Legendre Polynomial and Gaussian Quadrature Method.
Proceedings of the 2006 International Conference on Scientific Computing, 2006

2004
A New Discontinuous Finite Volume Method for Elliptic Problems.
SIAM J. Numer. Anal., 2004

A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables.
Appl. Math. Comput., 2004

Discontinuous Stable Elements for the Incompressible Flow.
Adv. Comput. Math., 2004

2003
Domain Decomposition for a Mixed Finite Element Method in Three Dimensions.
SIAM J. Numer. Anal., 2003

2001
Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods.
SIAM J. Numer. Anal., 2001

2000
Stabilized finite element approximations for the Reissner-Mindlin plate.
Adv. Comput. Math., 2000

1999
Least-squares finite element approximations for the Reissner-Mindlin plate.
Numer. Linear Algebra Appl., 1999

1997
A discrete divergence-free basis for finite element methods.
Numer. Algorithms, 1997


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