An Adaptive Multiscale Method for Simulation of Fluid Flow in Heterogeneous Porous Media

DOI10.1137/050645117zbMath1205.76156OpenAlexW2038622158MaRDI QIDQ5757472

Jørg E. Aarnes, Yalchin R. Efendiev

Publication date: 7 September 2007

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1969.1/179918

zbMATH Keywords

mixed finite element methodstransport equationupscalingpseudofunctions

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

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Sequential Homogenization of Reactive Transport in Polydisperse Porous Media ⋮ Iterative Galerkin-enriched multiscale finite-volume method ⋮ Multiscale methods for model order reduction of non-linear multiphase flow problems ⋮ Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media ⋮ An adaptive global-local generalized FEM for multiscale advection-diffusion problems ⋮ A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales ⋮ Algebraic dynamic multilevel method for compositional flow in heterogeneous porous media ⋮ Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs ⋮ Random Sampling and Efficient Algorithms for Multiscale PDEs ⋮ Adaptive numerical homogenization for upscaling single phase flow and transport ⋮ Multi-scale discontinuous Galerkin method for solving elliptic problems with curvilinear unidirectional rough coefficients ⋮ A posteriori error estimates for a multi-scale finite-element method ⋮ Unstructured grid adaptation for multiscale finite volume method ⋮ Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations

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