The present chapter is an introduction to computational approaches for multiscale problems such as (1). We successively discuss herein three different categories of methods. The first method is a direct application of homogenization theory. The second method, multiscale approaches, uses homogenization theory as a guideline to design an efficient computational approach. The third method is designed as a way to address random settings that are close to nice deterministic (say, periodic) settings.
CITATION STYLE
Blanc, X., & Le Bris, C. (2023). Numerical Approaches. In Modeling, Simulation and Applications (Vol. 21, pp. 257–362). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-031-21833-0_5
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