A posteriori error estimates for a nonconforming finite element discretization of the Stokes-Biot system
DOI10.1155/2022/7472965zbMath1490.65197OpenAlexW4221023408MaRDI QIDQ2122293
Publication date: 6 April 2022
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/7472965
Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) 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)
Cites Work
- Unnamed Item
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- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
- Finite element analysis of an arbitrary Lagrangian-Eulerian method for Stokes/parabolic moving interface problem with jump coefficients
- Nonconforming finite element methods for a Stokes/Biot fluid-poroelastic structure interaction model
- Wavelet expansions and asymptotic behavior of distributions
- A posteriori error estimates for mixed FEM in elasticity
- A posteriori error estimation and adaptive mesh-refinement techniques
- A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
- Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: isotropic discretization
- Well-posedness and robust preconditioners for discretized fluid-structure interaction systems
- Analysis of the coupled Navier-Stokes/Biot problem
- The new semianalytical technique for the solution of fractional-order Navier-Stokes equation
- Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations
- A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance
- A strongly conservative finite element method for the coupled Stokes-Biot model
- An a posteriori error analysis for a coupled continuum pipe-flow/Darcy model in karst aquifers: anisotropic and isotropic discretizations
- A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
- Flow and transport in fractured poroelastic media
- A posteriori error analysis for a Lagrange multiplier method for a Stokes/Biot fluid-poroelastic structure interaction model
- Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$\varvec{\mathscr {D'}}(\mathbb {C})$$ D ′ ( C )
- A posteriori error estimate for the Stokes-Darcy system
- A posteriori error estimate for the mixed finite element method
- An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
- Finite Element Methods for Navier-Stokes Equations
- Ten Lectures on Wavelets
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations
- The problem of the selection of an a posteriori error indicator based on smoothening techniques
- A posteriori error estimation for the Stokes–Darcy coupled problem on anisotropic discretization
- A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD
- Numerical analysis of the coupling of free fluid with a poroelastic material
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