A strongly conservative finite element method for the coupled Stokes-Biot model

DOI10.1016/j.camwa.2020.07.001zbMath1447.65094OpenAlexW3043083566MaRDI QIDQ2194852

Jing Wen, Yin-Nian He

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.07.001

zbMATH Keywords

error estimatesdiscontinuous Galerkin methodstrong mass conservationStokes-Biot

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items (12)

A posteriori error estimates for a nonconforming finite element discretization of the Stokes-Biot system ⋮ A mixed elasticity formulation for fluid–poroelastic structure interaction ⋮ Nonconforming finite element methods for a Stokes/Biot fluid-poroelastic structure interaction model ⋮ A finite element scheme for the numerical solution of the Navier-Stokes/Biot coupled problem ⋮ Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers ⋮ A posteriori error analysis for a Lagrange multiplier method for a Stokes/Biot fluid-poroelastic structure interaction model ⋮ The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem ⋮ A multipoint stress-flux mixed finite element method for the Stokes-Biot model ⋮ Decoupled modified characteristic finite element method for the time‐dependent Navier–Stokes/Biot problem ⋮ A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem ⋮ A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction ⋮ A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem

Cites Work

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• Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
• A strongly conservative finite element method for the coupling of Stokes and Darcy flow
• 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
• Discontinuous Galerkin method for the nonlinear Biot's model
• Discontinuous Galerkin method for the fully dynamic Biot's model
• Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling
• An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Mixed and Hybrid Finite Element Methods
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Korn's inequalities for piecewise $H^1$ vector fields
• Finite Element Methods and Their Applications

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