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math.NA2025
A three-field Multiscale Method
Franklin de Barros, Alexandre L. Madureira, Frédéric Valentin +1
Inspired by the seminal paper \emph{A Three-Field Domain Decomposition Method} by F. Brezzi and L. D. Marini, we propose the Multiscale-Hybrid-Hybrid Method (MHM) for the Darcy…
math.NA2024
A low-order locking-free multiscale finite element method for isotropic elasticity
Antônio Tadeu Azevedo Gomes, Weslley da Silva Pereira, Frédéric Valentin
The multiscale hybrid-mixed (MHM) method consists of a multi-level strategy to approximate the solution of boundary value problems with heterogeneous coefficients. In this context,…