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Journal Articles Journal of Computational Physics Year : 2023

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

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.

Dates and versions

hal-03643103 , version 1 (15-04-2022)

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Rutger Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski. Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example. Journal of Computational Physics, 2023, 477, pp.111914. ⟨10.1016/j.jcp.2023.111914⟩. ⟨hal-03643103⟩
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