Volume 5, Issue 4
Multiscale FEM-FVM Hybrid Method for Convection-Diffusion Equations with Periodic Discontinuous Coef

Zichen Deng

Int. J. Numer. Anal. Mod. B,5 (2014), pp. 374-399

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  • Abstract

This paper presents the multiscale analysis and numerical algorithms for the convectiondiffusion equations with rapidly oscillating periodic discontinuous coefficients. The multiscale asymptotic expansions are developed and an explicit rate of convergence is derived for the convex domains. An efficient multiscale hybrid FEM-FVM algorithm is constructed, and numerical experiments are reported to validate the predicted convergence results.

  • History

Published online: 2014-05

  • AMS Subject Headings

65F10, 65W05

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