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math.NA2024★ 1 cited
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,…
math.NA2022★ 2 cited
Physics-Aware Neural Networks for Boundary Layer Linear Problems
Antonio Tadeu Azevedo Gomes, Larissa Miguez da Silva, Frederic Valentin
Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as te…