A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models
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Publication:1988126
DOI10.1016/j.cma.2019.05.034zbMath1441.74197arXiv1810.12761OpenAlexW2963397363WikidataQ127806473 ScholiaQ127806473MaRDI QIDQ1988126
Alessio Fumagalli, Ana Budiša, Elyes Ahmed
Publication date: 16 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12761
Newton-Krylov methodmixed finite elementnonlinear domain decompositionDarcy-Forchheimer's lawsmultiscale flux basisreduced fracture models
Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)
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Cites Work
- Unnamed Item
- Implementation of a mortar mixed finite element method using a multiscale flux basis
- The narrow fracture approximation by channeled flow
- Modeling fractures as interfaces: A model for Forchheimer fractures
- Comparison between different numerical discretizations for a Darcy-Forchheimer model
- Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults
- A block-centered finite difference method for reduced fracture model in Karst aquifer system
- Preconditioning techniques for large linear systems: A survey
- Mixed element method for two-dimensional Darcy-Forchheimer model
- \( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems
- A reduced fracture model for two-phase flow with different rock types
- A multiscale Darcy-Brinkman model for fluid flow in fractured porous media
- Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
- Mimetic finite difference approximation of flows in fractured porous media
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
- A reduced model for Darcy’s problem in networks of fractures
- A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks
- Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture
- A mixed hybrid Mortar method for solving flow in discrete fracture networks
- Multiscale Finite Element Methods
- Asymptotic and numerical modelling of flows in fractured porous media
- Dual Virtual Element Method for Discrete Fractures Networks
- Stability of block LU factorization
- A Frozen Jacobian Multiscale Mortar Preconditioner for Nonlinear Interface Operators
- Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM