The heterogeneous multiscale method*

By Assyr Abdulle, E. Weinan, Björn Engquist, Eric Vanden-Eijnden. Acta Numerica, 2012

613 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3a8972e64affdec167a1f0fd259ce4d104bcd86e

Citations in the corpus

• Optimal Local Multi-scale Basis Functions for Linear Elliptic Equations with Rough Coefficient (2015, neutral): “The Heterogeneous multi-scale method [1, 30] numerically decomposes the structure of the medium into a micro-scale and a macro-scale, and compute solutions of cell problems on the micro-scale to get the local homogenized matrices.”
• Adaptive reduced basis finite element heterogeneous multiscale method (2013, neutral): “The development of multiscale methods capable of capturing the effective behavior of a problem without scale resolution on the whole computational domain has therefore received major attention during the past few years [1] [2] [3] [4] [5].”