Multiresolution operator decomposition for flow simulation in fractured porous media

DOI10.1016/j.jcp.2018.12.032zbMath1452.76242OpenAlexW2909476859MaRDI QIDQ2221409

Houman Owhadi, Florian Schäfer, Yang Li, Jun Yao, Qingfu Zhang, Zhaoqin Huang

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/92155/

zbMATH Keywords

multigrid methodflow simulationdiscrete fracture modelfractured porous mediamultiresolution decompositiongamblets

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05)

Related Items (2)

An improved embedded discrete fracture model and domain connectivity algorithms on 3D unstructured grids ⋮ Generalized multiscale approximation of a mixed finite element method with velocity elimination for Darcy flow in fractured porous media

Cites Work

• Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity
• Numerical study on two-phase flow through fractured porous media
• Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients
• Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS)
• On the multi-level splitting of finite element spaces
• The hierarchical basis multigrid method
• A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems
• The variational multiscale method -- a paradigm for computational mechanics
• Energy optimization of algebraic multigrid bases
• Multiscale finite element for problems with highly oscillatory coefficients
• A multiscale finite element method for elliptic problems in composite materials and porous media
• On an energy minimizing basis for algebraic multigrid methods
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• A multiresolution strategy for numerical homogenization
• A multiscale mixed finite element method with oversampling for modeling flow in fractured reservoirs using discrete fracture model
• Non-cooperative games
• Statistical decision functions which minimize the maximum risk
• Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
• Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
• General Constrained Energy Minimization Interpolation Mappings for AMG
• Localization of elliptic multiscale problems
• UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
• Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory Coefficients
• An Energy-minimizing Interpolation for Robust Multigrid Methods
• Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiresolution operator decomposition for flow simulation in fractured porous media