On the robustness of multiscale hybrid-mixed methods
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Diego Paredes | Frédéric Valentin | Henrique M. Versieux | F. Valentin | H. Versieux | Diego Paredes
[1] Frédéric Legoll,et al. MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems , 2013 .
[2] Thomas Y. Hou,et al. A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media , 1997 .
[3] M. Vogelius,et al. Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients , 2000 .
[4] Todd Arbogast,et al. A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems , 2013, SIAM J. Numer. Anal..
[5] Diego Paredes,et al. A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients , 2013, J. Comput. Phys..
[6] Ivan G. Graham,et al. A new multiscale finite element method for high-contrast elliptic interface problems , 2010, Math. Comput..
[7] Henrique M. Versieux,et al. Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients , 2008, SIAM J. Numer. Anal..
[8] Zhiming Chen,et al. A mixed multiscale finite element method for elliptic problems with oscillating coefficients , 2003, Math. Comput..
[9] V. Zhikov,et al. Homogenization of Differential Operators and Integral Functionals , 1994 .
[10] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[11] Thomas Y. Hou,et al. Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients , 1999, Math. Comput..
[12] Todd Arbogast,et al. Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems , 2004, SIAM J. Numer. Anal..
[13] Grégoire Allaire,et al. Boundary layer tails in periodic homogenization , 1999 .
[14] Todd Arbogast,et al. Subgrid Upscaling and Mixed Multiscale Finite Elements , 2006, SIAM J. Numer. Anal..
[15] Grégoire Allaire,et al. A Multiscale Finite Element Method for Numerical Homogenization , 2005, Multiscale Model. Simul..
[16] E Weinan,et al. The heterogeneous multiscale method* , 2012, Acta Numerica.
[17] Georges Griso. Error estimate and unfolding for periodic homogenization , 2004 .
[18] I. Babuska,et al. Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods , 1983 .
[19] P. Raviart,et al. Primal hybrid finite element methods for 2nd order elliptic equations , 1977 .
[20] Giancarlo Sangalli,et al. Capturing Small Scales in Elliptic Problems Using a Residual-Free Bubbles Finite Element Method , 2003, Multiscale Model. Simul..
[21] P. Grisvard. Elliptic Problems in Nonsmooth Domains , 1985 .
[22] Ivo Babuška,et al. Solution of Interface Problems by Homogenization. I , 1976 .
[23] T. Hou,et al. Removing the Cell Resonance Error in the Multiscale Finite Element Method via a Petrov-Galerkin Formulation , 2004 .
[24] Mary F. Wheeler,et al. A multiscale mortar multipoint flux mixed finite element method , 2012 .
[25] O. A. Ladyzhenskai︠a︡,et al. Linear and quasilinear elliptic equations , 1968 .
[26] Bogdan Vernescu,et al. Error estimates for periodic homogenization with non-smooth coefficients , 2007, Asymptot. Anal..
[27] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[28] CHRISTOPHER HARDER,et al. On a Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients , 2015, Multiscale Model. Simul..
[29] Thomas Y. Hou,et al. Convergence of a Nonconforming Multiscale Finite Element Method , 2000, SIAM J. Numer. Anal..
[30] N. Meyers. An $L^p$-estimate for the gradient of solutions of second order elliptic divergence equations , 1963 .
[31] S. Moskow,et al. First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof , 1997, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[32] Diego Paredes,et al. Multiscale Hybrid-Mixed Method , 2013, SIAM J. Numer. Anal..
[33] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .