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

TL;DR

This paper explores a non-intrusive implementation approach for Multiscale Finite Element Methods, aiming to make these advanced techniques more accessible for industrial and non-academic applications.

Contribution

It introduces a method to implement MsFEM non-intrusively, simplifying integration into existing computational frameworks.

Findings

Demonstrates feasibility of non-intrusive MsFEM implementation

Facilitates integration into industrial software environments

Enhances accessibility of multiscale computational techniques

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.