A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

DOI10.1137/100790689zbMath1326.76059OpenAlexW2035319076MaRDI QIDQ3103522

Benjamin Ganis, Ming Zhong, Ivan Yotov

Publication date: 7 December 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100790689

zbMATH Keywords

uncertainty quantificationstochastic collocationmultiscale flux basisSmolyak sparse grid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (10)

Generalized polynomial chaos decomposition and spectral methods for the stochastic Stokes equations ⋮ A deep learning based reduced order modeling for stochastic underground flow problems ⋮ Multi-element least square HDMR methods and their applications for stochastic multiscale model reduction ⋮ An Adaptive Preconditioner for Three-Dimensional Single-Phase Compressible Flow in Highly Heterogeneous Porous Media ⋮ A multiscale preconditioner for stochastic mortar mixed finite elements ⋮ A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties ⋮ Stochastic multiscale flux basis for Stokes-Darcy flows ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities ⋮ A Hybrid HDMR for Mixed Multiscale Finite Element Methods with Application to Flows in Random Porous Media ⋮ Couplings of mixed finite element and weak Galerkin methods for elliptic problems

Uses Software

• MMMFEM
• PARCEL

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