Dr Jia Jia Qian
Status
Postdoctoral Research Associate
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
- T. A. Oliynyk and J. J. Qian. “Polytopal discrete de Rham scheme for the exterior calculus Einstein’s equations”. In: Phys. Rev. D 112 (2025), p. 064089. doi: 10.1103/6t8n-rlld. url: https://link.aps.org/doi/10.1103/6t8n-rlld
- D. A. Di Pietro, J. Droniou, and J. J. Qian. “A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations”. In: Comput. Methods Appl. Mech. Eng. 421 (2024), Paper no. 116765, 21p. doi: 10.1016/j.cma.2024.116765. url: https://arxiv.org/abs/2401.04456
- J. Droniou and J. J. Qian. “Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes”. In: Mathematics in Engineering 6.3 (2024), pp. 468–493. doi: 10.3934/mine.2024019. url: https://arxiv.org/abs/2306.09751
- J. Droniou, T. A. Oliynyk, and J. J. Qian. “A polyhedral discrete de Rham numerical scheme for the Yang–Mills equations”. In: J. Comput. Phys. 478 (2023), Paper no. 111955, 26p. doi: 10.1016/j.jcp.2023.111955. url: https://arxiv.org/abs/2208.12009
Research interests
I am interested the design, implementation and analysis of arbitrary-order numerical schemes on general polytopal meshes, with a focus on developing compatible schemes. I currently work with classical equations related to the Standard Model of particle physics, and Einstein’s equations for General Relativity.