Xiu Ye
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Distinguished Professor
Also affiliated: Shenyang Pharmaceutical University (2019); Jiangnan University (2020–2025); Oak Ridge National Laboratory (2019); U.S. National Science Foundation (2013–2015); Seoul National University (1999); University of Pittsburgh (1992); Jiangsu Vocational College of Medicine (2025); State Key Laboratory of Food Science and Technology (2023–2024); Anhui Xinhua University (2021); Arkansas Department of Agriculture (2013); Division of Mathematical Sciences (2013–2015); Guangdong Baiyun University (2022); Guangzhou Xinhua University (2021–2022); Zhejiang University of Finance and Economics (2018)
Research Areas
Biomedical Subjects
Biography and Research Information
OverviewAI-generated summary
Xiu Ye's research focuses on the development and application of numerical methods, particularly finite element methods, for solving complex mathematical problems. Ye has published extensively on weak Galerkin finite element methods, investigating their efficacy for various types of differential equations, including second-order elliptic problems, the Stokes equations, and the Maxwell equations. This work often involves the use of quadrilateral elements and explores methods for handling interface problems and polynomial reduction.
Ye leads a research group at the University of Arkansas at Little Rock and has a significant publication record, with 195 publications and over 6,500 citations, resulting in an h-index of 38. Ye has collaborated with Xiaoshen Wang on four shared publications. Ye is recognized as a highly cited researcher, indicating a substantial impact within their field.
Metrics
- h-index: 38
- Publications: 195
- Citations: 6,513
Positions
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Distinguished Professor publications 1993–2025University of Arkansas at Little Rock Institution web page
Selected Publications
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A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes (2025)
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Two-Order Superconvergent CDG Finite Element Method for the Heat Equation on Triangular and Tetrahedral Meshes (2024)
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A macro BDM H-div mixed finite element on polygonal and polyhedral meshes (2024)
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A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids (2024)
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An H-div finite element method for the Stokes equations on polytopal meshes (2024)
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A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes (2024)
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Generalized weak Galerkin finite element methods for second order elliptic problems (2024)
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Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations (2023)
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Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes (2023)
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A superconvergent CDG finite element for the Poisson equation on polytopal meshes (2023)
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On the superconvergence of a WG method for the elliptic problem with variable coefficients (2023)
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Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes (2023)
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A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element (2023)
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Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids (2022)
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A family of H-div-div mixed triangular finite elements for the biharmonic equation (2022)
Collaboration Network
Top Collaborators
- A Weak Galerkin Finite Element Method for the Maxwell Equations
- A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- A C^0-Weak Galerkin Finite Element Method for the Biharmonic Equation
Showing 5 of 59 shared publications
- A Weak Galerkin Finite Element Method for the Maxwell Equations
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- Weak Galerkin methods for second order elliptic interface problems
- A weak Galerkin finite element method with polynomial reduction
- A computational study of the weak Galerkin method for second-order elliptic equations
Showing 5 of 44 shared publications
- A weak Galerkin finite element method for second-order elliptic problems
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- A computational study of the weak Galerkin method for second-order elliptic equations
- A new weak Galerkin finite element method for elliptic interface problems
- A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
Showing 5 of 20 shared publications
- A weak Galerkin mixed finite element method for second order elliptic problems
- Weak Galerkin methods for second order elliptic interface problems
- A weak Galerkin finite element method with polynomial reduction
- A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation
- A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
Showing 5 of 17 shared publications
- A modified weak Galerkin finite element method for the Stokes equations
- A stabilizer free weak Galerkin finite element method with supercloseness of order two
- A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
- Superconvergence analysis for the Navier–Stokes equations
- Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
Showing 5 of 8 shared publications
- A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
- A discontinuous Galerkin least-squares method for div–curl systems
- Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
- A weak Galerkin finite element method for nonlinear conservation laws
- Development of a LDG method on polytopal mesh with optimal order of convergence
Showing 5 of 7 shared publications
- A computational study of the weak Galerkin method for second-order elliptic equations
- A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes
- A unified a posteriori error estimator for finite volume methods for the stokes equations
Showing 5 of 6 shared publications
- Weak Galerkin finite element methods for Darcy flow: Anisotropy and heterogeneity
- An adaptive discontinuous finite volume method for elliptic problems
- Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity
- A Comparative Study of Locally Conservative Numerical Methods for Darcy's Flows
- L2 error estimation for DGFEM for elliptic problems with low regularity
- A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
- A mixed nonconforming finite element for linear elasticity
- Least-squares finite element approximations for the Reissner-Mindlin plate
- A least-squares finite element approximation for the compressible Stokes equations
- A least‐squares finite element approximation for the compressible Stokes equations
- Weak Galerkin methods for second order elliptic interface problems
- A new weak Galerkin finite element method for elliptic interface problems
- A NUMERICAL STUDY ON THE WEAK GALERKIN METHOD FOR THE HELMHOLTZ EQUATION
- Weak Galerkin Methods for Second Order Elliptic Interface Problems
- de Rham complexes for weak Galerkin finite element spaces
- A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes
- Generalized weak Galerkin finite element methods for second order elliptic problems
- De Rham Complexes for Weak Galerkin Finite Element Spaces
- A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- A discrete divergence-free basis for finite element methods
- The construction of a null basis for a discrete divergence operator
- The construction of an optimal weakly divergence‐free macroelement
- The derivation of minimal support basis functions for the discrete divergence operator
- A Numerical Analysis of a Focused Ultrasound Technique to Measure Perfusion
- The minimal support discrete divergence free basis functions for a mini-element
- Discrete maximum principle for the P1−P0 weak Galerkin finite element approximations
- A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems
- A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems