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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, Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow, submitted, arxiv.2305.19434.

  • Published and accepted:

    1. H. Garcke, R. Nurnberg and Q. Zhao, Unfitted finite element methods for axisymmetric two-phase flow, accepted to Journal of Scientific Computing, arxiv.2303.03085.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Q. Zhao and W. Ren, A finite element method for electrowetting on dielectric, J. Comput. Phys., Vol. 429, 109998, 2021. URL
    11. 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
    12. 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.
    13. 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.
    14. 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
    15. 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.
    16. 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
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.

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