World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
7636
World Ranking
1784
National Ranking
102

Mechanical and Aerospace Engineering

D-Index
42
Citations
7438
World Ranking
1819
National Ranking
218

Overview

Yinnian He is affiliated with Xi'an Jiaotong University in China and has contributed extensively to the fields of Engineering and Mathematics. Their research focuses primarily on Computational Mechanics, Numerical Analysis, and Computational Theory and Mathematics, with a significant emphasis on Applied Mathematics and Mechanics of Materials.

The scientist's work covers several principal topics, including:

  • Advanced Numerical Methods in Computational Mathematics
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Numerical methods for differential equations
  • Electromagnetic Simulation and Numerical Methods

Yinnian He has published frequently in several academic venues. The most notable among these are:

  • Journal of Scientific Computing
  • Communications in Nonlinear Science and Numerical Simulation
  • Computers & Mathematics with Applications
  • Journal of Computational and Applied Mathematics
  • Applied Numerical Mathematics

Their recent publications include the following papers:

  • A pressure-robust virtual element method for the Stokes problem, 2021, Computer Methods in Applied Mechanics and Engineering
  • A strongly conservative finite element method for the coupled Stokes-Biot Model, 2020, Computers & Mathematics with Applications
  • Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation, 2021, Journal of Scientific Computing
  • Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition, 2020, Journal of Computational and Applied Mathematics
  • A time filter method for solving the double-diffusive natural convection model, 2021, Computers & Fluids

Yinnian He collaborates with several frequent co-authors. These include:

  • Pengzhan Huang
  • Xinlong Feng
  • Jing Wen
  • Gang Wang
  • Xiaoli Lu

Best Publications

  • Two-Level Method Based on Finite Element and Crank--Nicolson Extrapolation for the Time-Dependent Navier--Stokes Equations

    Yinnian He

  • On large time-stepping methods for the Cahn--Hilliard equation

    Yinnian He;Yunxian Liu;Tao Tang

  • A stabilized finite element method based on two local Gauss integrations for the Stokes equations

    Jian Li;Yinnian He

  • Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

    Yinnian He

  • Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations

    Yinnian He;Weiwei Sun

  • Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations

    Yinnian He;Jian Li

  • A stabilized finite element method based on local polynomial pressure projection for the stationary Navier--Stokes equations

    Yinnian He;Jian Li

  • Two-level Stabilized Finite Element Methods for the Steady Navier–Stokes Problem

    Yinnian He;Kaitai Li

  • A simplified two-level method for the steady Navier–Stokes equations

    Yinnian He;Aiwen Wang

  • A new stabilized finite element method for the transient Navier-Stokes equations

    Jian Li;Jian Li;Yinnian He;Zhangxin Chen;Zhangxin Chen

  • The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

    Yinnian He

  • A generalized fractional sub-equation method for fractional differential equations with variable coefficients☆

    Bo Tang;Yinnian He;Leilei Wei;Xindong Zhang

  • Analysis of finite element approximations of a phase field model for two-phase fluids

    Xiaobing Feng;Yinnian He;Chun Liu

  • Local and parallel finite element algorithms for the stokes problem

    Yinnian He;Jinchao Xu;Aihui Zhou;Jian Li

  • Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics

    Xiaojing Dong;Yinnian He;Yan Zhang

  • Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems☆

    Leilei Wei;Leilei Wei;Yinnian He

  • Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

    Leilei Wei;Yinnian He;Xindong Zhang;Shaoli Wang

  • Homotopy analysis method for higher-order fractional integro-differential equations

    Xindong Zhang;Bo Tang;Yinnian He

  • A multilevel finite element method in space‐time for the Navier‐Stokes problem

    Yinnian He;Kam-Moon Liu

  • Stabilized finite-element method for the stationary Navier-Stokes equations

    Yinnian He;Aiwen Wang;Liquan Mei

Frequent Co-Authors

Zhangxin Chen
Zhangxin Chen University of Calgary
Weiwei Sun
Weiwei Sun United International College
Yanping Lin
Yanping Lin Hong Kong Polytechnic University
Keke Zhang
Keke Zhang Macau University of Science and Technology
Chun Liu
Chun Liu Illinois Institute of Technology
Tao Tang
Tao Tang Hong Kong Baptist University
Ahmet Yildirim
Ahmet Yildirim Ege University
Weizhang Huang
Weizhang Huang University of Kansas
Jinchao Xu
Jinchao Xu Pennsylvania State University
Richard E. Ewing
Richard E. Ewing Texas A&M University

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