Title：Low-degree strictly conservative finite element method for incompressible flows
Speaker：Zhang, Shuo（张硕）
Affiliation：Chinese Academy of Sciences
Time：10:30-11:30am, April 21st (Wednesday), 2021
Venue: 南京应用数学中心一楼报告厅
Inviter：李铁香教授（txli@seu.edu.cn）
Abstract：The strict preservation of the conservation property is important in the design of numerical schemes for various model problems. I will firstly talk about why we would like to study low-degree strictly conservative finite element method for incompressible flows. Then I will talk about a nonstandard approach for designing finite element schemes for fluid computation, which can preserve strictly the divergence free condition for incompressible fluid flows. The scheme works on general triangulations with lower degree of polynomials than known results, and its superiority with respect to some existing schemes are partially illustrated with numerical experiments. The theoretical analysis depends on a careful application of Stokes complex. More will be talked about the discretized Stokes complex if time permits.
报告人介绍：张硕，中科院数学与系统科学研究院副研究员。2003年毕业于山东大学数学学院，获理学学士学位。2008年毕业于北京大学数学学院，获博士学位;后到宾夕法尼亚州立大学做博士后。主要从事偏微分方程数值算法研究，包括有限元方法、多水平方法及保结构算法等。在国内外高质量学术期刊发表论文20余篇，其中多篇以第一作者或独立作者身份发表在SIAM J. Numer Analys, Numer. Math, J. Comput. Phys, IMA J. Numer. Anal, M2AN等权威期刊上，以第一作者或通讯作者发表的论文曾获中国计算数学学会优秀青年论文奖二等奖及一等奖各一项。主持国家自然科学基金面上项目2项、青年项目1项。