Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
DOI10.1016/j.camwa.2021.08.015OpenAlexW3198551377MaRDI QIDQ2147277
Chiara Facciolà, Marco Verani, Paola Francesca Antonietti
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.06420
flow through a porous mediumdiscontinuous Galerkin methods on polygonal and polyhedral gridsnetworks of fractures
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
- Modeling fractures as interfaces: A model for Forchheimer fractures
- Dimensionally reduced flow models in fractured porous media: crossings and boundaries
- The virtual element method for discrete fracture network simulations
- Cut finite elements for convection in fractured domains
- Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids
- Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
- An unfitted finite element method for the Darcy problem in a fracture network
- A review of the XFEM-based approximation of flow in fractured porous media
- hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
- Mimetic finite difference approximation of flows in fractured porous media
- A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
- Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
- $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
- A reduced model for Darcy’s problem in networks of fractures
- Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains
- Asymptotic and numerical modelling of flows in fractured porous media
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Robust Discretization of Flow in Fractured Porous Media
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
- Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces
- Analysis of a mimetic finite difference approximation of flows in fractured porous media
- High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations
- High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
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