基础与前沿研究院
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| 导师代码： |
20211
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| 导师姓名： |
周冠宇
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| 性 别： |
男 |
| 特 称： |
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| 职 称： |
教授
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| 学 位： |
理学博士学位
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| 属 性： |
专职 |
| 电子邮件： |
zhoug@uestc.edu.cn
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| 学术经历：
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2009年 南开大学 信息与计算数学 学士学位
2012年 东京大学大学院数理科学研究科 数理科学 硕士学位
2015年 东京大学大学院数理科学研究科 数理科学 博士学位
2015年4月至2017年3月 东京大学大学院数理科学研究科 特任研究员
2017年4月至2019年10月 东京理科大学应用数学系 助理教授
2019年11月～ 电子科技大学 基础与前沿研究院 教授
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| 个人简介：
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电子科技大学基础与前沿研究院教授，博士生导师。主要研究方向是偏微分方程数值方法和数学物理方程，在SIAM Numer. Anal., Numer. Math等计算数学，偏微分方程和量子计算的学术刊物上发表论文19篇。2018年至2019年担任日本应用数理学会会刊编辑委员，2019年入选国家****计划。主要研究课题有：（1）虚拟区域法（2）（耦合）流体方程的非典型边界（界面）条件的数值计算（3）趋化性方程的保结构有限体积法（4）非线性抛物方程组的解耦合方法
研究室目前（2021年9月）有研究生5名和博士1名。研究方向包含：(i) 传统的数值计算方法（有限元和有限体积法） 在复杂非线性偏微分方程中的数值分析和应用；(ii) 机器学习算法求解偏微分方程
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| 科研项目：
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2022年～ 有限体积法的解析半群理论及其应用 面上项目
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| 研究成果：
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[1] Guanyu Zhou, An analysis on the finite volume schemes and the discrete Lyapunov inequalities for the chemotaxis system, J. Sci. Comput., vol. 87, no. 2, Aug 2021.
[2] Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung, and Ming-Cheng Shiue, An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface, Appl. Numer. Math., vol. 165, pp. 83-118, Feb 2021.
[3] Lina Zhao, Eric T. Chung, Eun-Jae Park, and Guanyu Zhou, Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems, SIAM J. Numer. Anal., vol. 59, pp. 1-31, Jan 2021.
[4] Guanyu Zhou, Issei Oikawa, and Takahito Kashiwabara, The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary, J. Comput. Appl. Math., vol. 383, pp. 113123, Jan 2021.
[5] Buyang Li, Yuki Ueda, and Guanyu Zhou, A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems, SIAM J. Numer. Anal., vol. 58, pp. 2736–2763, Sep 2020.
[6] Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung, and Ming-Cheng Shiue, Some DG schemes for the Stokes–Darcy problem using P1/P1 element, Jpn. J. Ind. Appl. Math., vol. 36, pp. 1101–1128, Aug 2019.
[7] Takahito Kashiwabara, Issei Oikawa, and Guanyu Zhou, Penalty method with Crouzeix-Raviart approximation for the Stokes equations under slip boundary condition., ESAIM Math. Model. Numer. Anal., vol. 53, pp. 869 - 891, Jun 2019.
[8] Guanyu Zhou, The fictitious domain method with L2‐penalty for the Stokes problem with the Dirichlet boundary condition, Numer. Methods Partial Differential Equations, vol. 34, Nov 2017.
[9] Guanyu Zhou, The fictitious domain method with H1-penalty for the Stokes problem with Dirichlet boundary condition, Appl. Numer. Math., vol. 123, pp. 1-21, Sep 2017.
[10] Guanyu Zhou, Takahito Kashiwabara, and Issei Oikawa, A penalty method for the time-dependent Stokes problem with the slip boundary condition and its finite element approximation, Appl. Math., vol. 62, pp. 377–403, Jul 2017.
[11] Guanyu Zhou, The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition, Jpn. J. Ind. Appl. Math., vol. 34, pp. 585–610, Jun 2017.
[12] Guanyu Zhou, The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: the error estimate of penalty and the finite element approximation, Appl. Numer. Math., vol. 115, pp. 42-67, Jan 2017.
[13] Guanyu Zhou and Norikazu Saito, Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis, Numer. Math., vol. 135, Feb 2016.
[14] Takahito Kashiwabara, Issei Oikawa, and Guanyu Zhou, Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition, Numer. Math., vol. 134, pp. 705–740, Jan 2016.
[15] Guanyu Zhou and Norikazu Saito, The Navier-Stokes equations under a unilateral boundary condition of Signorini's type, J. Math. Fluid Mech., vol. 18, pp. 481–510, Feb 2016.
[16] Guanyu Zhou, Takahito Kashiwabara, and Issei Oikawa, Penalty method for the stationary Navier-Stokes problems under the slip boundary condition, J. Sci. Comput., vol. 68, pp. 339–374, Dec 2015.
[17] Norikazu Saito, Yoshiki Sugitani, and Guanyu Zhou, Unilateral problem for the Stokes equations: the well-posedness and finite element approximation, Appl. Numer. Math., vol. 105, pp. 124-147, Jul 2016.
[18] Norikazu Saito and Guanyu Zhou, Analysis of the fictitious domain method with an L2-penalty for elliptic problems, Numer. Funct. Anal. Optim., vol. 36, pp. 501-527, Apr 2015.
[19] Guanyu Zhou and Norikazu Saito, Analysis of the fictitious domain method with penalty for elliptic problems, Jpn. J. Ind. Appl. Math., vol. 31, pp. 57–85, Oct 2013.
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| 专业研究方向：
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| 专业名称 |
研究领域/方向 |
招生类别 |
| 070100数学 |
01微分/积分方程数值解及应用 |
博士学术学位 |
| 070100数学 |
01微分/积分方程数值解及应用 |
硕士学术学位 |
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