Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Comptes Rendus. Mécanique Year : 2023

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods

Abstract

Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions that generate a suitable 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. We develop an abstract framework that covers a wide variety of MsFEMs for linear second-order partial differential equations. Non-intrusive MsFEM approaches are developed within the full generality of this framework, which may moreover be beneficial to steering software development and improving the theoretical understanding and analysis of MsFEMs.

Dates and versions

hal-03884721 , version 1 (05-12-2022)

Identifiers

Cite

Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski. Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods. Comptes Rendus. Mécanique, 2023, 351 (S1), pp.135-180. ⟨10.5802/crmeca.178⟩. ⟨hal-03884721⟩
87 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More