English

Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example

Numerical Analysis 2023-02-08 v1 Numerical Analysis

Abstract

Multiscale Finite Element Methods (MsFEM) are finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions which generate a specific discretization space, and next perform a Galerkin approximation of the problem on that space. We investigate here how these approaches can be implemented in a non-intrusive way, in order to facilitate their dissemination within industrial codes or non academic environments.

Keywords

Cite

@article{arxiv.2204.06852,
  title  = {Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example},
  author = {Rutger A. Biezemans and Claude Le Bris and Frederic Legoll and Alexei Lozinski},
  journal= {arXiv preprint arXiv:2204.06852},
  year   = {2023}
}
R2 v1 2026-06-24T10:47:56.986Z