Multiscale hybridizable discontinuous Galerkin method for flow simulations in highly heterogeneous media

DOI10.1007/s10915-019-01058-2zbMath1440.65237OpenAlexW2977709177MaRDI QIDQ2291887

Shubin Fu, Ke Shi, Yan-Fang Yang

Publication date: 31 January 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01058-2

zbMATH Keywords

heterogeneous mediamultiscale finite element methodtwo-phase flow simulationhybridizable discontinuous Galerkin

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Liquid-liquid two component flows (76T06)

Related Items (2)

A fixed point multi-scale finite volume method: application to two-phase incompressible fluid flow through highly heterogeneous porous media ⋮ Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media

Cites Work

• A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
• High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• A hybridizable discontinuous Galerkin method for Stokes flow
• A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
• Accurate multiscale finite element methods for two-phase flow simulations
• An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Analysis of upscaling absolute permeability
• A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• Residual-driven online generalized multiscale finite element methods
• A multiscale mortar multipoint flux mixed finite element method
• Conditions for superconvergence of HDG methods for second-order elliptic problems
• Multiscale Finite Element Methods
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A mixed multiscale finite element method for elliptic problems with oscillating coefficients
• An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media
• An Enriched Multiscale Mortar Space for High Contrast Flow Problems
• Mixed Generalized Multiscale Finite Element Methods and Applications
• Adaptive Mixed GMsFEM for Flows in Heterogeneous Media
• Multiscale Hybrid-Mixed Method
• A Multiscale Mortar Mixed Finite Element Method

This page was built for publication: Multiscale hybridizable discontinuous Galerkin method for flow simulations in highly heterogeneous media