讲座主题：High order structure-preserving algorithms for biomathematical Chemotaxis-Fluid coupling systems

专家姓名：李超群

工作单位：郑州大学

讲座时间：2025年12月05日 14:30-15:30

讲座地点：综合楼204

主办单位：烟台大学数学与信息科学学院

内容摘要：

Weestablished a systematicframework of high order structure-preserving finite element methods (FEM) for KS chemotaxis models. Specifically, by strategically combining conforming and non-conforming elements with flux-corrected transport (FCT) and monotonicity correction techniques, we have developed novel fully discrete schemes that rigorously preserve critical physical properties such as non-negativity and mass conservation. Furthermore, we have overcome key theoretical obstacles through some new techniques in analyzing strongly coupled and stabilization terms, deriving the optimal error estimates and superconvergence for variables without any mesh ratio constraints. Finally, we also introduces a post-processing-based analytical framework, extending the applicability of these methods to a wider class of chemotaxis problems.

主讲人介绍：

李超群，郑州大学管理学院，讲师。已在《Numer. Algorithms》《Appl. Numer. Math.》《Commun. Nonlinear Sci. Numer. Simul.》等发表SCI二区论文4篇。