Comparison and application of non-conforming mesh models for flow in fractured porous media using dual Lagrange multipliers
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Publication:2136455
DOI10.1016/j.jcp.2021.110773OpenAlexW3206906755MaRDI QIDQ2136455
Liudmila Karagyaur, Philipp Schädle, Maria G. C. Nestola, Patrick Zulian
Publication date: 10 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06360
finite element methodLagrange multiplier methodnon-matching meshesdiscrete fracture modelnon-conforming meshesflow in fractured porous media
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)
Uses Software
Cites Work
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- On the use of enriched finite element method to model subsurface features in porous media flow problems
- A hierarchical fracture model for the iterative multiscale finite volume method
- Mimetic finite difference method
- Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
- Dimensionally reduced flow models in fractured porous media: crossings and boundaries
- A mortar approach for fluid-structure interaction problems: immersed strategies for deformable and rigid bodies
- A fictitious domain method for Dirichlet problem and applications
- A multiscale hybrid method for Darcy's problems using mixed finite element local solvers
- Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators
- The hybrid dimensional representation of permeability tensor: a reinterpretation of the discrete fracture model and its extension on nonconforming meshes
- An immersed boundary method for fluid-structure interaction based on variational transfer
- Monotone embedded discrete fractures method for flows in porous media
- Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
- Towards a large-scale scalable adaptive heart model using shallow tree meshes
- A review of the XFEM-based approximation of flow in fractured porous media
- Unified approach to discretization of flow in fractured porous media
- A Lagrange multiplier method for a discrete fracture model for flow in porous media
- Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases
- Nitsche’s extended finite element method for a fracture model in porous media
- A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- Conditioning of finite element equations with arbitrary anisotropic meshes
- Reentrant polygon clipping
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Meshing of domains with complex internal geometries
- Modelling fluid flow in fractured-porous rock masses by finite-element techniques
- A Multigrid Tutorial, Second Edition
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Robust Discretization of Flow in Fractured Porous Media
- Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces
- Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes
- Nonconforming Mesh Refinement for High-Order Finite Elements
- Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
