An Attempt at Classifying Homogenization-Based Numerical Methods

Emmanuel Frenod (1, 2)

1 CALVI - Scientific computation and visualization
2 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

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.

Mots clés: Asymptotic Analysis; Asymptotic Expansion; Numerical Simulation; Homogenization; Homogenization-Based Numerical Mathods

Domaines: Modélisation et simulation; Analyse numérique [math.NA]

Emmanuel Frenod. An Attempt at Classifying Homogenization-Based Numerical Methods. Discrete and Continuous Dynamical Systems - Series S, 2015, Numerical Methods Based on Two-Scale Convergence and Homogenization, 8 (1), pp.6. ⟨10.3934/dcdss.2015.8.1i⟩. ⟨hal-00872394⟩