My name is Mingdong He (何明东). I am a PhD candidate at The University of Oxford (Numerical Analysis Group) starting in 2023 fall. My supervisor is Prof. Patrick E. Farrell. Previously, I finished my master's study of Part III of the Mathematical Tripos at The University of Cambridge from 2022-2023. I obtained my bachelor's degree at the University of Nottingham, UK (2020-2022) and the University of Nottingham Ningbo China (2018-2020).
I am really into the beauty of numerical analysis, which is rigorous and convincing. Functional analytic thinking plays a role in this field and my job is to work between the infinite-dimensional spaces and the finite-dimensional spaces. The Finite element method is one of the numerical theories I love, which is a rigorous, extensive and valuable theory and I am intended to contribute both the theory and applications in this field.
As an undergraduate from 2018-2022, I was mainly concerned with the analytic, asymptotic and numerical approaches to solving problems arising in mathematical biology and fluid dynamics. When I was in Cambridge, I focused on the theory of partial differential equations and fluid dynamics.
Now, my interests lie in finite element exterior calculus, structure-preserving scheme, and preconditioning of solving partial differential equations.
Address: Andrew Wiles Building Woodstock Road OX2 6GG
Email: mingdonghe86@gmail.com
Phone: +44 7416990500
Forthcoming
News
2025-06-25: I gave a talk at a minisymposium hosted by Boris Andrews at the 30th Biennial Numerical Analysis Conference, Glasgow, UK.
2025-06-15: I attended the EMS summer school on Mathematical Modelling, Numerical Analysis and Scientific Computingin Kacov, Czechia.
2025-03-20: I gave a talk at the Seminar of 2025 at the state key laboratory of Scientifical and Engineering Computing hosted by Shipeng Mao, Beijing, China.
2025-03-19: I gave a talk at the PKU Applied Math Lunch Seminar (北京大学应用数学青年讨论班) hosted by Ting Lin, Beijing, China
2025-03-04: I gave a talk at the SIAM CSE2025 conference organised by Yunhui He, Fort Worth, TX, USA.
2025-01-22: A new paper is up on arxiv about Topology-preserving discretization for the magneto-frictional equations arising in the Parker conjecture , this is a joint work with Patrick Farrell, Kaibo Hu and Boris Andrews.
2025-01-21: I presented Robust preconditioners for incompressible MHD equations at the Oxford Finite Element Reading Group.
2024-11-14: I spoke at the Numerical Analysis Group Internal Seminar, University of Oxford, UK.
2024-09-16:I attended the Firedrake 2024 user meeting at Oxford, UK.
2024-07-19: I attended the Guangdong-Hong Kong-Macau Workshop on Scientific Computing and Machine Learning (粤港澳大湾区科学计算与机器学习讨论会), at CUHK-Shen Zhen, China.
2024-07-08: I attended the Scientific Computing and Machine Learning Summer School organised by Jinchao Xu, Shihua Gong and so on.
2024-06-21: I spoke at the European Finite Element Fair at UCL, London, UK
2024-06-10: I spoke at the Preconditioning 2024 conference in Atlanta, USA
2024-05-14: I presented Unbounded Operators and Hilbert Complexes at the Oxford Finite Element Reading Group, notes can be found here.
2024-04-09: I got the Travel Award for the Preconditioning 2024 Conference, I appreciate it so much!
2024-03-18: My topic Preconditioning for Topological Constraint Problem was accepted by the Preconditioning 2024 conference!
2023-10-03: I started my DPhil today!
2023-08-27: I started my one-month research visit at the Australian National University in the programme of Research Intern in Analysis and Partial Differential Equations, under the supervision of Dr. Pierre Portal. I appreciate the generous funding from ANU.
2023-03-24: Good news! I got an offer of DPhil in Mathematics from the Mathematical Institute of The University of Oxford! I am so excited that I will work with Prof. Patrick Farrell in the following years!