World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
6370
World Ranking
2334
National Ranking
988

Engineering and Technology

D-Index
38
Citations
6367
World Ranking
7999
National Ranking
2205

Overview

Xiu Ye is affiliated with the University of Arkansas at Little Rock in the United States. Their research primarily focuses on engineering, with a substantial contribution to computational mechanics, mechanics of materials, and electrical and electronic engineering. They have published extensively in these areas, applying advanced numerical methods to engineering problems.

The scientist's main fields of study include:

  • Engineering

Within that broad category, Xiu Ye has worked on several subfields, including:

  • Computational Mechanics
  • Mechanics of Materials
  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics

Their research topics extensively cover:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Additive Manufacturing Materials and Processes
  • Differential Equations and Numerical Methods

Xiu Ye has contributed to multiple publications, including journal articles in well-known venues. Their frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Computational and Applied Mathematics
  • Communications on Applied Mathematics and Computation
  • Applied Numerical Mathematics
  • Electronic Research Archive

Selected recent papers authored by Xiu Ye are:

  • A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes, 2020, SIAM Journal on Numerical Analysis
  • A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II, 2021, Journal of Computational and Applied Mathematics

The scientist has collaborated extensively with several colleagues. Frequent co-authors include:

  • Shangyou Zhang
  • Peipei Lu
  • Peng Zhu
  • Xiaoshen Wang
  • Chunmei Wang

Best Publications

  • A weak Galerkin finite element method for second-order elliptic problems

    Junping Wang;Xiu Ye

  • A weak Galerkin mixed finite element method for second order elliptic problems

    Junping Wang;Xiu Ye

  • A weak Galerkin finite element method for the stokes equations

    Junping Wang;Xiu Ye

  • Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

    Jim Jr. Douglas;Juan E. Santos;Dongwoo Sheen;Xiu Ye

  • A Weak Galerkin Finite Element Method for the Maxwell Equations

    Lin Mu;Junping Wang;Xiu Ye;Shangyou Zhang

  • Weak Galerkin Finite Element Methods on Polytopal Meshes

    Lin Mu;Junping Wang;Xiu Ye

  • Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

    Lin Mu;Junping Wang;Xiu Ye

  • Weak Galerkin methods for second order elliptic interface problems

    Lin Mu;Junping Wang;Guowei Wei;Xiu Ye

  • A weak Galerkin finite element method with polynomial reduction

    Lin Mu;Junping Wang;Xiu Ye

  • Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

    Zhiqiang Cai;Xiu Ye;Shun Zhang

  • A computational study of the weak Galerkin method for second-order elliptic equations

    Lin Mu;Junping Wang;Yanqiu Wang;Xiu Ye

  • A new weak Galerkin finite element method for elliptic interface problems

    Lin Mu;Junping Wang;Xiu Ye;Shan Zhao

  • New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements

    Junping Wang;Xiu Ye

  • A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier–Stokes equations

    Zhiqiang Cai;Jim Douglas;Xiu Ye

  • A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems

    Runchang Lin;Xiu Ye;Shangyou Zhang;Peng Zhu

  • A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods

    Lin Mu;Junping Wang;Xiu Ye

  • Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems

    So-Hsiang Chou;Xiu Ye

  • On the relationship between finite volume and finite element methods applied to the Stokes equations

    Xiu Ye

  • A new weak Galerkin finite element method for the Helmholtz equation

    Lin Mu;Junping Wang;Xiu Ye

  • A New Discontinuous Finite Volume Method for Elliptic Problems

    Xiu Ye

Frequent Co-Authors

Zhiqiang Cai
Zhiqiang Cai Purdue University West Lafayette
Shan Zhao
Shan Zhao University of Alabama
Jim Douglas
Jim Douglas Purdue University West Lafayette
Guo-Wei Wei
Guo-Wei Wei Michigan State University
Juan E. Santos
Juan E. Santos University of Buenos Aires
Guang Lin
Guang Lin Purdue University West Lafayette
Zhimin Zhang
Zhimin Zhang Wayne State University
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Jichun Li
Jichun Li University of Nevada, Las Vegas

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