A Hybrid High-Order Method for Multiple-Network Poroelasticity
From MaRDI portal
Publication:5153011
DOI10.1007/978-3-030-69363-3_6zbMath1470.76050OpenAlexW3046998151MaRDI QIDQ5153011
Michele Botti, Daniele A. Di Pietro, Lorenzo Botti
Publication date: 28 September 2021
Published in: Polyhedral Methods in Geosciences (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11311/1193759
discontinuous Galerkin methodshybrid high-order methodspolytopal methodsBarenblatt-Biot equationsmulti-network poroelasticity
Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
HHO methods for the incompressible Navier-Stokes and the incompressible Euler equations, Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem, Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods, Numerical solution of the Biot/elasticity interface problem using virtual element methods
Cites Work
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- TP or not TP, that is the question
- A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation
- A hybrid high-order locking-free method for linear elasticity on general meshes
- A hybrid high-order discretization method for nonlinear poroelasticity
- A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
- A low-order nonconforming method for linear elasticity on general meshes
- Advanced computation of steady-state fluid flow in discrete fracture-matrix models: FEM-BEM and VEM-VEM fracture-block coupling
- An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- A hybrid high-order method for passive transport in fractured porous media
- Hybridization of mixed high-order methods on general meshes and application to the Stokes equations
- Splitting schemes with respect to physical processes for double-porosity poroelasticity problems
- Poromechanics of freezing materials
- Stable Cell-Centered Finite Volume Discretization for Biot Equations
- A Nonconforming High-Order Method for the Biot Problem on General Meshes
- A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
- Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus
- An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
- A Hybrid High-Order Method for Nonlinear Elasticity
- A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
- Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
- Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
