各位老师同学好, 以下发布一则学术报告通知, 欢迎各位老师同学参加, 谢谢！
报告题目:Unconditionally energy-stable SLM-DG methods for the incompressible Navier-Stokes equations
报告人： 赵利娜 助理教授 香港城市大学
报告时间：2025年12月24日 下午15:00-16:00
报告地点：红瓦楼726
报告内容简介：In this talk, we present fully discrete schemes for the unsteady Navier–Stokes equations that simultaneously achieve global and local mass conservation, pressure robustness and Reynolds-semi-robustness. These schemes are based on a stabilized Lagrange multiplier (SLM) formulation with first- and second-order accuracy in time and H(div)-conforming discontinuous Galerkin (DG) methods in space, where the nonlinear convection term is treated explicitly. The unconditional H^1 stability for both the first- and second-order time-stepping schemes will be presented. Furthermore, the pressure-robust and Reynolds-semi-robust error estimates under mild conditions on the temporal and spatial step sizes in both two- and three-dimensional cases will be developed. Finally, numerical experiments are presented to validate the accuracy and efficiency of the proposed schemes.
报告人简介：Lina Zhao is an Assistant Professor in the Department of Mathematics at the City University of Hong Kong. She earned her Ph.D. from Yonsei University in 2018. Her research specializes in numerical analysis and scientific computing for mathematical problems motivated by real-world applications. A central focus of her work is the design and rigorous analysis of innovative numerical methods for multiphysics problems. She has extensive expertise in discontinuous Galerkin methods and multiscale methods and has authored more than 40 articles in leading journals, such as Numerische Mathematik, Mathematics of Computation, SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing, IMA Journal of Numerical Analysis, and Computer Methods in Applied Mechanics and Engineering.
报告邀请人：黄学海
