Finite element schemes for a class of nonlocal parabolic systems with moving boundaries

被引：3
|
作者：
Almeida, Rui M. P. [1 ]
Duque, Jose C. M. [1 ]
Ferreira, Jorge [2 ]
Robalo, Rui J. [1 ]
机构：
[1] UBI, CMA, Rua Marques Avila & Bolama, P-6201001 Covilha, Portugal
[2] Fed Fluminense Univ UFF, Dept Math Sci VCE, Niteroi, RJ, Brazil
来源：
APPLIED NUMERICAL MATHEMATICS | 2018年 / 127卷
关键词：
Nonlinear parabolic system; Nonlocal diffusion term; Reaction-diffusion; Convergence; Numerical simulation; Euler; Crank-Nicolson; Finite element method; ASYMPTOTIC-BEHAVIOR; COUPLED SYSTEM; VOLUME SCHEME; EQUATIONS; NONLINEARITY; CONVERGENCE; EXISTENCE; DOMAINS;
D O I：
10.1016/j.apnum.2018.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the convergence, properties and error bounds of the discrete solutions of a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using the finite element method with polynomial approximations of any degree and some classical time integrators. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with a moving finite element method are investigated. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：226 / 248
页数：23
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