A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
DOI10.1051/M2AN/2024045MaRDI QIDQ6619602
Jeonghun J. Lee, Sander Rhebergen, Aycil Cesmelioglu
Publication date: 16 October 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Navier-Stokes equationsdiscontinuous GalerkinporoelasticityBeavers-Joseph-SaffmanBiot's consolidation modelhybridized methods
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Flows in porous media; filtration; seepage (76S99)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem
- Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
- Preconditioning of a hybridized discontinuous Galerkin finite element method for the Stokes equations
- Divergence-free \(H(\operatorname{div})\)-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics
- Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
- Analysis of the coupled Navier-Stokes/Biot problem
- A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
- An embedded-hybridized discontinuous Galerkin finite element method for the Stokes equations
- The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye
- A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
- Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
- A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance
- High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
- An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system
- Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
- A loosely-coupled scheme for the interaction between a fluid, elastic structure and poroelastic material
- General theory of three-dimensional consolidation.
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- A multipoint stress-flux mixed finite element method for the Stokes-Biot model
- Locking-free finite element methods for poroelasticity
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
- Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Compact embeddings of broken Sobolev spaces and applications
- Mixed and Hybrid Finite Element Methods
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Korn's inequalities for piecewise $H^1$ vector fields
- Analysis of a Hybridized/Interface Stabilized Finite Element Method for the Stokes Equations
- A mixed elasticity formulation for fluid–poroelastic structure interaction
- A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot's consolidation model
- Decoupled modified characteristic finite element method for the time‐dependent Navier–Stokes/Biot problem
- Numerical analysis of the coupling of free fluid with a poroelastic material
- Second‐order, loosely coupled methods for fluid‐poroelastic material interaction
- Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem
- A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem
- Hybridizable discontinuous Galerkin methods for the coupled Stokes-Biot problem
- An augmented fully mixed formulation for the quasistatic Navier-Stokes-Biot model
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