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

Zichen Deng

DOI:

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

Published online: 2014-05

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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.

  • Keywords

Convection-diffusion equation convex domain periodic discontinuous coefficients composite materials porous media multiscale asymptotic expansion finite element method finite volume element method

  • AMS Subject Headings

65F10 65W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-5-374, author = {Zichen Deng}, title = {Multiscale FEM-FVM Hybrid Method for Convection-Diffusion Equations with Periodic Discontinuous Coef}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {4}, pages = {374--399}, 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/241.html} }
TY - JOUR T1 - Multiscale FEM-FVM Hybrid Method for Convection-Diffusion Equations with Periodic Discontinuous Coef AU - Zichen Deng JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 374 EP - 399 PY - 2014 DA - 2014/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/241.html KW - Convection-diffusion equation KW - convex domain KW - periodic discontinuous coefficients KW - composite materials KW - porous media KW - multiscale asymptotic expansion KW - finite element method KW - finite volume element method AB - 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.
Zichen Deng. (1970). Multiscale FEM-FVM Hybrid Method for Convection-Diffusion Equations with Periodic Discontinuous Coef. International Journal of Numerical Analysis Modeling Series B. 5 (4). 374-399. doi:
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