A Multiscale Method for Porous Microstructures
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Publication:5298154
DOI10.1137/140995210zbMath1416.65436arXiv1411.1944OpenAlexW1630083689MaRDI QIDQ5298154
Donald L. Brown, Daniel Peterseim
Publication date: 13 December 2016
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1944
Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (18)
Numerical homogenization beyond scale separation ⋮ Robust numerical upscaling of elliptic multiscale problems at high contrast ⋮ Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations ⋮ Multiscale modeling of diffusion in a crowded environment ⋮ Multiscale model reduction for the Allen-Cahn problem in perforated domains ⋮ Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wave number explicit bounds ⋮ Contrast Independent Localization of Multiscale Problems ⋮ A relaxed localized trust-region reduced basis approach for optimization of multiscale problems ⋮ Eliminating the pollution effect in Helmholtz problems by local subscale correction ⋮ Computational high frequency scattering from high-contrast heterogeneous media ⋮ Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction ⋮ Deep multiscale model learning ⋮ Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains ⋮ Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media ⋮ Efficient implementation of the localized orthogonal decomposition method ⋮ Numerical Homogenization of Heterogeneous Fractional Laplacians ⋮ A multiscale finite element method for Neumann problems in porous microstructures ⋮ Multiscale methods for problems with complex geometry
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