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Heterogeneous Multiscale Method for elliptic problem without scale separation

Numerical Analysis 2024-11-04 v1 Numerical Analysis

Abstract

This paper shows that the Heterogeneous Multiscale Method can be applied to elliptic problem without scale separation. The Localized Orthogonal Method is a special case of the Heterogeneous Multiscale Method.

Keywords

Cite

@article{arxiv.2411.00362,
  title  = {Heterogeneous Multiscale Method for elliptic problem without scale separation},
  author = {Tao Yu and Xingye Yue and Changjuan Zhang},
  journal= {arXiv preprint arXiv:2411.00362},
  year   = {2024}
}