Xiu Ye
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Researcher
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); Taipei Municipal Jen-Ai Hospital (2001); 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); Guangzhou Xinhua University (2021–2022); Zhejiang University of Finance and Economics (2018)
Faculty Researcher
Research Areas
Biomedical Subjects
Biography and Research Information
OverviewAI-generated summary
Xiu Ye is a faculty member at the University of Arkansas at Little Rock, leading a research group focused on numerical analysis and computational methods. With an h-index of 37 and over 6,000 citations across nearly 200 publications, Ye's work has been recognized as highly cited. Ye's research interests lie in the development and analysis of finite element methods, particularly for solving differential equations that model physical phenomena. Recent publications demonstrate a focus on weak Galerkin finite element methods, exploring their application to Stokes equations and investigating properties such as pressure robustness and superconvergence on various mesh types, including polytopal meshes.
In addition to computational mathematics, Ye has also contributed to research involving materials science, specifically investigating the influence of volumetric energy density on the microstructure and tribo-corrosion properties of laser powder bed fusion-fabricated Ti-4Cu alloy. Ye has collaborated with Xiaoshen Wang on four shared publications, indicating an active research network within the University of Arkansas at Little Rock.
Metrics
- h-index: 37
- Publications: 197
- Citations: 6,078
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 stabilizer free weak Galerkin finite element method on polytopal mesh: Part II
- A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III
- A numerical scheme with divergence free H-div triangular finite element for the Stokes equations
- A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
- Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem
Showing 5 of 30 shared publications
- A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
- Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
- Development of a LDG method on polytopal mesh with optimal order of convergence
- A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element
- On the superconvergence of a WG method for the elliptic problem with variable coefficients
- A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
- Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
- Weak Galerkin finite element methods with or without stabilizers
- On the superconvergence of a WG method for the elliptic problem with variable coefficients
- 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
- Generalized weak Galerkin finite element methods for second order elliptic problems
- Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem
- A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element
- A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions
- Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
- A Mixed Finite-Element Method on Polytopal Mesh
- On the superconvergence of a WG method for the elliptic problem with variable coefficients
- Generalized weak Galerkin finite element methods for second order elliptic problems
- A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids
- A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
- A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes
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