講座主題：High order structure-preserving algorithms for biomathematical Chemotaxis-Fluid coupling systems
專(zhuān)家姓名：李超群
工作單位：鄭州大學(xué)
講座時(shí)間：2025年12月05日 14:30-15:30
講座地點(diǎn)：綜合樓204
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
李超群，鄭州大學(xué)管理學(xué)院，講師。已在《Numer. Algorithms》《Appl. Numer. Math.》《Commun. Nonlinear Sci. Numer. Simul.》等發(fā)表SCI二區(qū)論文4篇。
