Non-intrusive implementation of multiscale finite element methods: an illustrative example

DOI10.1016/j.jcp.2023.111914OpenAlexW4223973763MaRDI QIDQ2681138

Rutger A. Biezemans, Alexei Lozinski, Frédéric Legoll, Claude Le Bris

Publication date: 10 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06852

zbMATH Keywords

finite element methodsmultiscale problemsnon-intrusive implementation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Uses Software

• FreeFem++
• MsFEM

Cites Work

• A multiscale finite element method for elliptic problems in composite materials and porous media
• Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs
• A residual-driven local iterative corrector scheme for the multiscale finite element method
• The heterogeneous multiscale method
• Multiscale Finite Element Methods
• Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization
• New development in freefem++
• A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media
• Numerical homogenization beyond scale separation

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