典型文献
Finite Element Analysis of Attraction-Repulsion Chemotaxis System.Part 1:Space Convergence
文献摘要：
In this paper,a finite element scheme for the attraction-repulsion chemotaxis model is ana-lyzed.We introduce a regularized problem of the truncated system.Then we obtain some a priori estimates of the regularized functions,independent of the regularization param-eter,via deriving a well-defined entropy inequality of the regularized problem.Also,we propose a practical fully discrete finite element approximation of the regularized problem.Next,we use a fixed point theorem to show the existence of the approximate solutions.Moreover,a discrete entropy inequality and some stability bounds on the solutions of regu-larized problem are derived.In addition,the uniqueness of the fully discrete approxima-tions is preformed.Finally,we discuss the convergence to the fully discrete problem.
文献关键词：
中图分类号：
作者姓名：
Mohammed Homod Hashim;Akil J.Harfash
作者机构：
Department of Mathematics,College of Sciences,University of Basrah,Basrah,Iraq
文献出处：
引用格式：
[1]Mohammed Homod Hashim;Akil J.Harfash-.Finite Element Analysis of Attraction-Repulsion Chemotaxis System.Part 1:Space Convergence)[J].应用数学与计算数学学报,2022(03):1011-1056
A类：
Attraction,Repulsion
B类：
Finite,Element,Analysis,Chemotaxis,System,Part,Space,Convergence,In,this,paper,finite,element,scheme,attraction,repulsion,chemotaxis,model,ana,lyzed,We,introduce,regularized,problem,truncated,system,Then,obtain,some,priori,estimates,functions,independent,regularization,param,eter,via,deriving,well,defined,entropy,inequality,Also,propose,practical,fully,discrete,approximation,Next,use,fixed,point,theorem,show,existence,approximate,solutions,Moreover,stability,bounds,are,derived,addition,uniqueness,preformed,Finally,discuss,convergence
AB值：
0.613398
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