scholarly journals Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Tao Yu ◽  
Peichang Ouyang ◽  
Haitao Cao
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Diffusion Reaction ◽  
Optimal Order ◽  
Convection Diffusion ◽  
Heterogeneous Multiscale ◽  
Multiscale Finite Volume ◽  
Volume Method ◽  
Optimal Order Convergence ◽  
Reaction Problem

Based on the heterogeneous multiscale method, this paper presents a finite volume method to solve multiscale convection-diffusion-reaction problem. The paper constructs an algorithm of the optimal order convergence rate in H1-norm under periodic medias.

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