Finite element based hybrid techniques for advection-diffusion-reaction processes

An International Journal of Optimization and Control: Theories & Applications

article

Murat Sari¹  Huseyin Tunc² 

[1] Yildiz Technical University;Department of Mathematics, Yildiz Technical University

关键词: advection-diffusion-reaction process;    Galerkin method;    Taylor-Galerkin method;    B-spline;    finite element method;   

DOI  :  10.11121/ijocta.01.2018.00452

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this paper, numerical solutions of the advection-diffusion-reaction (ADR) equation are investigated using the Galerkin, collocation and Taylor-Galerkin cubic B-spline finite element method in strong form of spatial elements using an ?-family optimization approach for time variation. The main objective of this article is to capture effective results of the finite element techniques with B-spline basis functions under the consideration of the ADR processes. All produced results are compared with the exact solution and the literature for various versions of problems including pure advection, pure diffusion, advection-diffusion, and advection-diffusion-reaction equations. It is proved that the present methods have good agreement with the exact solution and the literature.

【 授权许可】

CC BY