The Heterogeneous Multiscale Finite Volume Method for Convection-Diffusion-Reaction Problem
arXiv:1512.06331h-index: 6
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It provides a numerical method and convergence analysis for multiscale problems, which is incremental for researchers in computational PDEs.
The paper develops a heterogeneous multiscale finite volume method for convection-diffusion-reaction problems and proves optimal order convergence in H^1-norm for periodic media.
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 H^1-norm is given for periodic medias.