Seminars on Numerical Algorithms, Analyses, and Applications：Error estimates of hybridized discontinuous Galerkin methods for incompressible Navier-Stokes and generalized Boussinesq equations with Driac measures

：冷海涛（广州大学）
：2023-02-28 10:00
：海韵园数理大楼天元会议室686

报告人：冷海涛（广州大学）

时  间：2023年2月28日上午10:00-11:30

地  点：海韵园数理大楼天元会议室686

内容摘要:

In this talk, we study the numerical simulation of the incompressible Navier-Stokes and generalized Boussinesq equations with Dirac measures. The generalized Boussinesq equations coupling the incompressible Navier-Stokes equations and the heat equations with Dirac measures include the temperature-dependent viscosity and thermal conductivity. We use an exactly divergence-free hybridized discontinuous Galerkin method to approximate the studied models, prove its well-posedness, and analyze a priori and a posteriori error estimates. Finally, several numerical examples are provided to validate the theoretical results.

个人简介：

冷海涛，男，2018年博士毕业于华南师范大学，2018-2019年于香港科技大学做博士后，2019-2022年为华南师范大学青年英才（特聘副研究员），2022年至今为广州大学副教授。主要研究偏微分方程最优控制、流体等问题的自适应有限元方法和杂交间断伽辽金方法。相关成果发表在ESAIM: M2AN、J. Sci. Comput.等杂志。

 

联系人：陈黄鑫