REPLACEMENTS IN THE FINITE ELEMENT METHOD FOR THE PROBLEM OF ADVECTION-DIFFUSION-REACTION

被引：0
|
作者：
Savula, Ya H. [1 ]
Turchyn, Y., I [1 ]
机构：
[1] Ivan Franko Natl Univ Lviv, Fac Appl Math & Informat, 1 Univ Ska St, UA-79000 Lvov, Ukraine
来源：
JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2019年 / 1卷 / 130期
关键词：
Advection-diffusion-reaction; finite element method; exponential replacement;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, a new approach for the numerical approximation of the solution for the initial-boundary problem of advection-diffusion-reaction (ADR) is proposed. This approach is based on exponential direct and inverse replacements, before and after variation formulations, respectively. Theoretical results of the existence of the solution and of the order of convergence are obtained. Numerical experiments are conducted for singularly perturbed ADR problems. Graphs of the obtained results for stationary and non-stationary problems, table of errors and experimental orders of convergence are presented.
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页码：84 / 98
页数：15
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