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Recursive formulation and parallel implementation of multiscale mixed methods
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A Comparison of Mixed Multiscale Finite Element Methods for Multiphase Transport in Highly Heterogeneous Media
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A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media
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Omar Durán, Philippe R.B. Devloo, Sônia M. Gomes and Frédéric Valentin Computer Methods in Applied Mechanics and Engineering 354 213 (2019) https://doi.org/10.1016/j.cma.2019.05.013
Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra
Ilona Ambartsumyan, Eldar Khattatov, Jeonghun J. Lee and Ivan Yotov Mathematical Models and Methods in Applied Sciences 29(06) 1037 (2019) https://doi.org/10.1142/S0218202519500167
Multipoint flux mixed finite element methods for slightly compressible flow in porous media
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
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A multiscale flux basis for mortar mixed discretizations of Stokes–Darcy flows
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Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
Yalchin Efendiev, Raytcho Lazarov, Minam Moon and Ke Shi Computer Methods in Applied Mechanics and Engineering 292 243 (2015) https://doi.org/10.1016/j.cma.2014.09.036
Global–local nonlinear model reduction for flows in heterogeneous porous media
Manal Alotaibi, Victor M. Calo, Yalchin Efendiev, Juan Galvis and Mehdi Ghommem Computer Methods in Applied Mechanics and Engineering 292 122 (2015) https://doi.org/10.1016/j.cma.2014.10.034
Multiscale empirical interpolation for solving nonlinear PDEs
A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
Benjamin Ganis, Kundan Kumar, Gergina Pencheva, Mary F. Wheeler and Ivan Yotov Multiscale Modeling & Simulation 12(4) 1401 (2014) https://doi.org/10.1137/140952922
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
Artur Palha, Pedro Pinto Rebelo, René Hiemstra, Jasper Kreeft and Marc Gerritsma Journal of Computational Physics 257 1394 (2014) https://doi.org/10.1016/j.jcp.2013.08.005
Domain Decomposition for Stokes-Darcy Flows with Curved Interfaces