Li Yuan

1.3k total citations
101 papers, 1.0k citations indexed

About

Li Yuan is a scholar working on Computational Mechanics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Li Yuan has authored 101 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 79 papers in Computational Mechanics, 23 papers in Applied Mathematics and 22 papers in Computational Theory and Mathematics. Recurrent topics in Li Yuan's work include Computational Fluid Dynamics and Aerodynamics (48 papers), Advanced Numerical Methods in Computational Mathematics (43 papers) and Fluid Dynamics and Turbulent Flows (27 papers). Li Yuan is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (48 papers), Advanced Numerical Methods in Computational Mathematics (43 papers) and Fluid Dynamics and Turbulent Flows (27 papers). Li Yuan collaborates with scholars based in China, Pakistan and Hong Kong. Li Yuan's co-authors include Rong An, Abdullah Shah, Kaitai Li, Guangwu Yan, P. T. Leung, M.-C. Chu, Huai‐Yu Cheng, Aftab Ahmad Khan, Wei Liu and Tao Tang and has published in prestigious journals such as Journal of Computational Physics, Physics of Fluids and Physica D Nonlinear Phenomena.

In The Last Decade

Li Yuan

90 papers receiving 974 citations

Peers

Li Yuan
Li Yuan
Citations per year, relative to Li Yuan Li Yuan (= 1×) peers П. А. Крутицкий

Countries citing papers authored by Li Yuan

Since Specialization
Citations

This map shows the geographic impact of Li Yuan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Li Yuan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Li Yuan more than expected).

Fields of papers citing papers by Li Yuan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Li Yuan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Li Yuan. The network helps show where Li Yuan may publish in the future.

Co-authorship network of co-authors of Li Yuan

This figure shows the co-authorship network connecting the top 25 collaborators of Li Yuan. A scholar is included among the top collaborators of Li Yuan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Li Yuan. Li Yuan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Li, Yifei, et al.. (2025). Gas–liquid separation mechanisms and bubble dynamics in a helical axial multiphase flow pump. Physics of Fluids. 37(2). 2 indexed citations
2.
Yuan, Li & Shuaijie Wang. (2025). Completely Positive and Isometric Maps on Schatten-Class Operators. Results in Mathematics. 80(2). 1 indexed citations
3.
Wang, Shuheng & Li Yuan. (2024). Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. Communications in Nonlinear Science and Numerical Simulation. 138. 108264–108264.
4.
Yuan, Li, et al.. (2024). An energy stable bound-preserving finite volume scheme for the Allen-Cahn equation based on operator splitting method. Computers & Mathematics with Applications. 178. 47–60. 2 indexed citations
5.
Yuan, Li, et al.. (2024). Optimal error analysis of an unconditionally stable BDF2 finite element approximation for the 3D incompressible MHD equations with variable density. Journal of Computational and Applied Mathematics. 445. 115824–115824. 2 indexed citations
6.
Yu, Haijun, Itzhak Fouxon, Jianchun Wang, et al.. (2023). Lyapunov exponents and Lagrangian chaos suppression in compressible homogeneous isotropic turbulence. Physics of Fluids. 35(12). 1 indexed citations
7.
Xu, Xiaoming, Yi Huang, & Li Yuan. (2022). General explicit descriptions for two classes of symmetries involving idempotents. Linear and Multilinear Algebra. 71(3). 457–471. 1 indexed citations
9.
Yuan, Li, et al.. (2016). TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS. Journal of Applied Analysis & Computation. 6(3). 607–627. 2 indexed citations
10.
Yuan, Li, et al.. (2015). Some characterizations of the trace norm triangle equality. Linear Algebra and its Applications. 484. 396–408. 9 indexed citations
11.
Yuan, Li & Rong An. (2013). Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions. Abstract and Applied Analysis. 2013. 1–17. 5 indexed citations
12.
Yuan, Li. (2012). An Algorithm for Tri-Axial Magnetometer Calibration Based on Ellipsoid Constraints and Procrustes Analysis. Chuangan jishu xuebao. 2 indexed citations
13.
Shah, Abdullah, Li Yuan, & Shams Ul Islam. (2012). Numerical solution of unsteady Navier–Stokes equations on curvilinear meshes. Computers & Mathematics with Applications. 63(11). 1548–1556. 10 indexed citations
14.
Yuan, Li & Kaitai Li. (2011). Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Journal of Computational and Applied Mathematics. 235(12). 3673–3682. 12 indexed citations
15.
Yuan, Li, et al.. (2011). Error analysis for optimal control problem governed by convection diffusion equations: DG method. Journal of Computational and Applied Mathematics. 235(10). 3163–3177. 6 indexed citations
16.
Xu, Xiaoming, Hong-Ke Du, Xiaochun Fang, & Li Yuan. (2010). The supremum of linear operators for the ∗-order. Linear Algebra and its Applications. 433(11-12). 2198–2207. 13 indexed citations
17.
Shah, Abdullah, et al.. (2009). A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations. Communications in Computational Physics. 18 indexed citations
18.
Yuan, Li, et al.. (2002). Effects of ionization in single-bubble sonoluminescence. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 65(4). 41201–41201. 8 indexed citations
19.
Yan, Guangwu & Li Yuan. (2001). A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction. Chinese Physics Letters. 18(7). 918–920. 8 indexed citations
20.
Yuan, Li, et al.. (2001). Role of gas density in the stability of single-bubble sonoluminescence. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 64(1). 16317–16317. 18 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Rankless by CCL
2026