An attempt at classifying homogenization-based numerical methods

Emmanuel Frénod

doi:10.3934/dcdss.2015.8.1i

Article Contents

2015, Volume 8, Issue 1: i-vi. Doi: 10.3934/dcdss.2015.8.1i open access

This issue Previous Article Next Article Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem

An attempt at classifying homogenization-based numerical methods

Emmanuel Frénod^1,

1.
Université de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes

Published: January 2015

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Abstract

In this note, a classification of Homogenization-Based Numerical Methods and (in particular) of Numerical Methods that are based on the Two-Scale Convergence is done. In this classification stand: Direct Homogenization-Based Numerical Methods; H-Measure-Based Numerical Methods; Two-Scale Numerical Methods and TSAPS: Two-Scale Asymptotic Preserving Schemes.

Keywords:

Mathematics Subject Classification: Primary: 65L99, 65M99, 65N99.

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References

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