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arXiv · 2204.06852

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

Rutger A. Biezemans·Claude Le Bris·Frederic Legoll·Alexei Lozinski
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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.

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Rutger A. Biezemans, Claude Le Bris, Frederic Legoll, Alexei Lozinski. 2022-04-14. Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example. https://doi.org/10.1016/j.jcp.2023.111914

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