细菌模型的连续时空有限元方法  

Continuous Space-time Finite Element Method for Bacterial Model

作　　者：霍瑞娜[1] 郭昱杉 冉营丽 关宏波 HUO Ruina;GUO Yushan;RAN Yingli;GUAN Hongbo(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China;Department of Basic Teaching,Zhengzhou University of Industry Technology,Zhengzhou 450064,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450015 [2]郑州轻工业大学数学与信息科学学院,河南郑州450002 [3]郑州工业应用技术学院基础教学部,河南郑州450064

出　　处：《应用数学》2023年第3期711-718,共8页Mathematica Applicata

基　　金：河南省自然科学基金项目(222300420585);河南省高校青年骨干教师基金(2020GGJS126)。

摘　　要：本文针对细菌模型提出一种连续时空有限元方法,通过引入时空投影算子,得到了在时间离散节点处能量模意义下的最优误差估计结果.与传统全离散方式不同的是,该方法对时间变量和空间变量同时采用有限元离散,且无时间离散步长和空间网格尺寸的网格比限制,这对于拓宽各向异性有限元方法的应用范围是有益的.This paper studies a continuous space-time finite element method for bacterial model.By introducing some space-time projection operators,optimal order error estimates at time discrete nodes are derived in energy norm,respectively.Differing from the traditional full discrete scheme,this method approximates the time and space variables by finite element method at the same time,which does not need to satisfy any limitation of the ratio of the time step length and the space mesh size,this will be useful for extending the applications of anisotropic finite element methods.

关 键 词：细菌模型 时空有限元方法 最优误差估计 

分 类 号：O242.21[理学—计算数学]