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Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis
Rodolfo Araya, Christopher Harder, Abner H. Poza and Frédéric Valentin SIAM Journal on Numerical Analysis 63(2) 588 (2025) https://doi.org/10.1137/24M1649368
A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
Peipei Lu, Roland Maier and Andreas Rupp ESAIM: Mathematical Modelling and Numerical Analysis 59(2) 1213 (2025) https://doi.org/10.1051/m2an/2025029
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0-hybrid high-order methods for biharmonic problems
Generalizing the multiscale hybrid-mixed method for reactive-advective-diffusive equations
Rodolfo Araya, Fabrice Jaillet, Diego Paredes and Frédéric Valentin Computer Methods in Applied Mechanics and Engineering 428 117089 (2024) https://doi.org/10.1016/j.cma.2024.117089
A Multiscale Hybrid Method
Gabriel R. Barrenechea, Antonio Tadeu A. Gomes and Diego Paredes SIAM Journal on Scientific Computing 46(3) A1628 (2024) https://doi.org/10.1137/22M1542556
Revisiting the robustness of the multiscale hybrid-mixed method: The face-based strategy
Diego Paredes, Frédéric Valentin and Henrique M. Versieux Journal of Computational and Applied Mathematics 436 115415 (2024) https://doi.org/10.1016/j.cam.2023.115415
Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time
The MHM Method for Linear Elasticity on Polytopal Meshes
Antônio Tadeu A Gomes, Weslley S Pereira and Frédéric Valentin IMA Journal of Numerical Analysis 43(4) 2265 (2023) https://doi.org/10.1093/imanum/drac041