A new cement to glue non-conforming grids with Robin interface conditions: the finite volume case, Numer. Math, vol.92, issue.4, pp.593-620, 2002. ,
Multiscale hybrid-mixed method, SIAM J. Numer. Anal, vol.51, issue.6, pp.3505-3531, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01347517
Multiscale hybrid-mixed method for the Stokes and Brinkman equations-the method, Comp. Meth. Appl. Mech. Eng, vol.324, pp.29-53, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01347517
A multiscale mortar mixed finite element method. SIAM Multiscale Modeling and Simulation, vol.6, pp.319-346, 2007. ,
Generalized finite element methods: Their performance and their relation to mixed methods, SIAM J. Num. Anal, vol.20, issue.3, pp.510-536, 1983. ,
The hitchhiker's guide to the virtual element method, Math. Models Methods Appl. Sci, vol.24, issue.8, pp.1541-1573, 2014. ,
Basic principles of virtual element methods, Math. Models Methods Appl. Sci, vol.23, issue.1, pp.199-214, 2013. ,
, hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes, 2017.
, hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes, vol.24, pp.2009-2041, 2014.
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, ESAIM Math. Model. Numer. Anal, vol.50, issue.3, pp.635-650, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01115318
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems, SIAM J. Numer. Anal, vol.47, issue.2, pp.1319-1365, 2009. ,
Numerical multiscale methods, International Journal for Numerical Methods in Fluids, vol.70, issue.4, pp.403-419, 2012. ,
Conforming and nonconforming finite element methods for solving the stationary stokes equations. I. Revue française d'automatique, informatique, recherche opérationnelle, Mathématique, vol.7, issue.3, pp.33-75, 1973. ,
A multiscale hybrid method for Darcy's problems using mixed finite element local solvers, 2018. ,
The heterogeneous multi-scale methods, Comm. Math. Sci, vol.1, pp.87-133, 2003. ,
Convergence of a nonconforming multiscale finite element method, SIAM J. Numer. Anal, vol.37, issue.3, pp.888-910, 2000. ,
Theory and practice of finite elements, Applied Mathematical Sciences, vol.159, 2004. ,
Arbitrary-order mixed methods for heterogeneous anisotropic di usion on general meshes, 2016. ,
The discontinuous enrichment method, Comput. Methods Appl. Mech. Engrg, vol.190, issue.48, pp.6455-6479, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-02012889
Optimal convergence properties of the feti domain decomposition method, Comm. Numer. Methods Engrg, vol.115, pp.365-385, 1994. ,
A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. In Domain decomposition methods in science and engineering, Lect. Notes Comput. Sci. Eng, vol.40, pp.259-266, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00112937
Elliptic Problems in Non-Smooth Domains, 1985. ,
A hybrid-mixed method for elasticity, ESAIM: Math. Model. Num. Anal, vol.50, issue.2, pp.311-336, 2016. ,
A family of multiscale hybrid-mixed finite element methods for the Darcy equation with rough coefficients, J. Comput. Phys, vol.245, pp.107-130, 2013. ,
On a multiscale hybrid-mixed method for advective-reactive dominated problems with heterogenous coefficients, SIAM Multiscale Model. and Simul, vol.13, issue.2, pp.491-518, 2015. ,
Foundations of the MHM method, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, 2016. ,
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Math. Comp, vol.68, issue.227, pp.913-943, 1999. ,
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods, vol.127, pp.387-401, 1995. ,
The multiscale hybrid-mixed method for the Maxwell equations in heterogeneous media, SIAM Multiscale Model. Simul, vol.16, issue.4, pp.1648-1683, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01393011
Localization of elliptic multiscale problems, Math. Comp, vol.83, issue.290, pp.2583-2603, 2014. ,
On the robustness of multiscale hybrid-mixed methods, Math. Comp, vol.86, issue.304, pp.525-548, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01394241
Primal hybrid finite element methods for 2nd order elliptic equations, Math. Comp, vol.31, issue.138, pp.391-413, 1977. ,
Capturing small scales in elliptic problems using a Residual-Free Bubbles finite element method, SIAM Multiscale Model. Simul, vol.1, issue.3, pp.485-503, 2003. ,
Poincaré constants for finite element stars, IMA Journal of Numerical Analysis, vol.32, issue.1, pp.30-47 ,
, dparedes@udec.cl (F.V.) Departamento de Métodos Matemáticos e Computacionais, vol.333