Model order reduction in porous media flow simulation using quadratic bilinear formulation

DOI10.1007/s10596-015-9529-0zbMath1392.76080OpenAlexW1923943808MaRDI QIDQ722868

Eduardo Gildin, Mohammadreza Ghasemi

Publication date: 27 July 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-015-9529-0

zbMATH Keywords

nonlinear model reductiontwo phase flowtraining-free modeling

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (2)

Certified reduced basis method in geosciences. Addressing the challenge of high-dimensional problems ⋮ Optimal Local Approximation Spaces for Parabolic Problems

Cites Work

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• A projection method for model reduction of bilinear dynamical systems
• Reduced-order optimal control of water flooding using proper orthogonal decomposition
• Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
• Multiscale Finite Element Methods
• Multiscale Methods for Subsurface Flow
• Approximation of Large-Scale Dynamical Systems
• Mixed and Hybrid Finite Element Methods
• A mixed multiscale finite element method for elliptic problems with oscillating coefficients
• MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
• An Introduction to the Numerics of Flow in Porous Media using Matlab

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