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Quan Zhao (赵泉）

I am currently working at the Department of Mathematics at the University of Science and Technology of China. Before that, I was a postdoc with the Humboldt Fellowship in the group of Prof. Dr. Harald Garcke at the Department of Mathematics, University of Regensburg, Germany. I received my Ph.D. degree from the Department of Mathematics at National University of Singapore in 2017, under the supervision of Prof. Weizhu Bao and Prof. Weiqing Ren.

Email: quanzhao(at)ustc.edu.cn; quanzhao90(at)u.nus.edu;

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Employment

  • Assistant professor(特任研究员), University of Science and Technology of China, 2023.07-present

  • Humboldt postdoc, Univeristy of Regensburg, 2021.10-2023.6

  • Postdoc, National University of Singapore, 2018.8-2021.8

  • Research assistant, National University of Singapore, 2017.8-2018.8

    • Education

  • Ph.D., Applied Mathematics, National University of Singapore, 2013.08-2017.12

  • B.Sc., Applied Mathematics, University of Science and Technology of China, 2009.8-2013.7

    • Research Interests

  • Modeling and simulation for interface problems

  • Moving contact lines in multiphase flows

  • Geometric partial differential equations

  • Numerical analysis and scientific computing

    • Publications

  • Preprints:

    1. H. Garcke, R. Nurnberg and Q. Zhao, A variational front-tracking method for multiphase flow with triple junctions, submitted, 2024. arXiv.2407.18529.
    2. Q. Zhao, W. Jiang, Y. Wang, D.J. Srolovitz, T. Qian, W. Bao, Dynamics of small solid particles on substrates of arbitrary topography, submitted, 2024.

  • Published and accepted:

    1. M. Li and Q. Zhao, Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry, J. Comput. Phys., 497, 112632.
    2. H. Garcke, R. Nurnberg and Q. Zhao, Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow, Comput. Math. Appl., Vol. 155, 209-223, 2024. arxiv.2305.19434.
    3. H. Garcke, R. Nurnberg and Q. Zhao, Unfitted finite element methods for axisymmetric two-phase flow, J. Sci. Comput., Vol. 97 (1), 14, 2023. arxiv.2303.03085.
    4. H. Garcke, R. Nurnberg and Q. Zhao, Structure-preserving discretizations for two-phase Navier-Stokes flow using fitted and unfitted mesh approaches, J. Comput. Phys., 112276, 2023. arxiv.2212.08398.
    5. H. Garcke, P. Knopf, R. Nurnberg and Q. Zhao, A diffuse-interface approach for solid-state dewetting with anisotropic surface energies, J. Nonlinear Sci., Vol. 2, 33-34, 2023. arxiv.2210.01698.
    6. W. Bao and Q. Zhao, An energy-stable parametric finite element method for simulating solid-state dewetting in three dimensions, J. Comput. Math., 2023. arxiv.2012.11404.
    7. W. Bao, H. Garcke, R. Nurnberg and Q. Zhao, A structure-preserving finite element method of surface diffusion for curve networks and surface clusters, Numer. Methods Partial Diff. Equ., Vol 39, no.1, pp. 759-794, 2023. arxiv.2202.06775.
    8. Q. Zhao, S. Xu and W. Ren, A level set method for the simulation of moving contact line in three dimensions, Commu. Comput. Phys., Vol. 32, pp. 1310-1331, 2022. arxiv.2111.13567.
    9. W. Bao, H. Garcke, R. Nurnberg and Q. Zhao, Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations, J. Comput. Phys., Vol. 460, 111180, 2022.
    10. W. Bao and Q. Zhao, A structure-preserving parametric finite element method for surface diffusion, SIAM J. Numer. Anal., Vol. 59, pp.2775-2799, 2021.
    11. Q. Zhao, W. Ren and Z. Zhang, A thermodynamically consistent model and its conservative numerical approximation for moving contact lines with soluble surfactant, Comput. Methods Appl. Mech. Eng., Vol. 385, 114033, 2021.
    12. Q. Zhao and W. Ren, A finite element method for electrowetting on dielectric, J. Comput. Phys., Vol. 429, 109998, 2021. URL
    13. W. Huang, W. Jiang and Q. Zhao, A θ-L formulation-based finite element method for axisymmetric solid-state dewetting, East Asian J. Appl. Math., Vol. 11, no. 2, pp. 389-405, 2021. URL
    14. Q. Zhao, W. Jiang and W. Bao, An energy-stable parametric finite element method for simulating solid-state dewetting, IMA. J. Numer. Anal., Vol.41, pp. 2026–2055, 2021.
    15. Q. Zhao and W. Ren, An energy-stable finite element method for the simulation of moving contact lines in two-phase flows, J. Comput. Phys., Vol. 417, 109582, 2020.
    16. Q. Zhao, W. Jiang and W. Bao, A parametric finite element method for solid-state dewetting in three dimensions, SIAM J. Sci. Comput., Vol. 42, no. 1, pp. B327-B352, 2020
    17. W. Jiang, Q. Zhao and W. Bao, Sharp-interface model for simulating solid-state dewetting in three dimensions, SIAM J. Appl. Math., Vol. 80, no. 4, pp. 1654-1677, 2020.
    18. Q. Zhao, A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry, J. Comput. Appl. Math., Vol. 361, pp. 144-156, 2019
    19. W. Jiang and Q. Zhao, Sharp-interface approach for simulating solid-state dewetting in two dimensions: a Cahn-Hoffman ξ-vector formulation, Physica D, Vol. 390, pp. 69-83, 2019.
    20. W. Jiang, Q. Zhao, T. Qian, D.J. Srolovitz and W. Bao, Application of the Onsager's variational principle to the dynamics of a solid toroidal island on a substrate, Acta Mater., Vol. 163, pp. 154-160, 2019.
    21. Q. Zhao, W. Jiang, D.J. Srolovitz and W. Bao, Triple junction drag effects during topological changes in the evolution of polycrystalline microstructures, Acta Mater., Vol. 128, pp. 345-350, 2017.
    22. W. Bao, W. Jiang, Y. Wang and Q. Zhao, A parametric finite element method for solid-state dewetting problems with anisotropic surface energies, J. Comput. Phys., Vol. 330, pp. 380-400, 2017.
    23. W. Jiang, Y. Wang, Q. Zhao, W. Bao and D.J. Srolovitz, Solid-state dewetting and island morphologies in strongly anisotropic materials, Scr. Mater., Vol. 115, pp. 123-127, 2016.

    No. Visitor Since Nov 2021.