Xiu Ye Source Confirmed

Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.

High Impact

Researcher

University of Arkansas at Little Rock

faculty

36 h-index 196 pubs 5,777 cited

Research Areas

Weak Galerkin Finite Element Methods Stokes Equations Polytopal Meshes Finite Element Analysis Materials Science Tribo-Corrosion Laser Powder Bed Fusion

Links

ORCID Google Scholar Research Group

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OverviewAI-generated summary

Xiu Ye's research focuses on the development and analysis of finite element methods for solving partial differential equations, particularly those arising in fluid dynamics. Ye has published extensively on weak Galerkin finite element methods, investigating their properties such as stabilizer-free formulations, pressure robustness, and superconvergence on polytopal meshes. These methods are applied to problems like the Stokes equations, which are fundamental in fluid mechanics.

Ye's work also extends to the study of material properties and their behavior under specific conditions. This includes research into the influence of volumetric energy density on microstructure evolution and tribo-corrosion properties of alloys, such as Ti–4Cu fabricated using laser powder bed fusion (LPBF). This area of research connects computational methods with materials science and engineering.

With a substantial publication record, Ye has achieved an h-index of 36 and accumulated over 5,700 citations, indicating a significant impact in the field. Ye leads a research group and collaborates with other researchers, including Xiaoshen Wang at the University of Arkansas at Little Rock, with whom Ye has co-authored four publications.

Metrics

  • h-index: 36
  • Publications: 196
  • Citations: 5,777

Selected Publications

  • Two-Order Superconvergent CDG Finite Element Method for the Heat Equation on Triangular and Tetrahedral Meshes (2024) DOI
  • A macro BDM H-div mixed finite element on polygonal and polyhedral meshes (2024) DOI
  • A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids (2024) DOI
  • An H-div finite element method for the Stokes equations on polytopal meshes (2024) DOI
  • A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes (2024) DOI
  • Generalized weak Galerkin finite element methods for second order elliptic problems (2024) DOI
  • Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations (2023) DOI
  • Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes (2023) DOI
  • A superconvergent CDG finite element for the Poisson equation on polytopal meshes (2023) DOI
  • On the superconvergence of a WG method for the elliptic problem with variable coefficients (2023) DOI
  • Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes (2023) DOI
  • A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element (2023) DOI
  • Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids (2022) DOI
  • A family of H-div-div mixed triangular finite elements for the biharmonic equation (2022) DOI
  • Four-Order Superconvergent Weak Galerkin Methods for the Biharmonic Equation on Triangular Meshes (2022) DOI

Collaborators

Researchers in the database who share publications

Xiaoshen Wang University of Arkansas at Little Rock 4 shared publications