The Heterogeneous Multiscale Finite Volume Method for Convection-Diffusion-Reaction Problem

2015/12/20 by Tao Yu, Haitao Cao, Yu, Tao +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1512.06331

openalex publication_date 2015/12/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we employ an finite volume method (FVM) based on the heterogenous multiscale method (HMM), for the multiscale convection-diffusion-reaction problem. The optimal order convergence rate in H¹-norm is given for periodic medias.

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