A stabilized finite element method for the Stokes-Stokes coupling interface problem
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Publication:2670710
DOI10.1007/s00021-022-00694-3zbMath1490.76068OpenAlexW4281760542MaRDI QIDQ2670710
Md. Abdullah Al Mahbub, Shahid Hussain, Feng Shi
Publication date: 1 June 2022
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-022-00694-3
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
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- Analysis of a Stokes interface problem in multi-subdomains
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit
- A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem
- Uzawa conjugate gradient domain decomposition methods for coupled Stokes flows
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- Error estimates of a decoupled algorithm for a fluid-fluid interaction problem
- Stability of algorithms for a two domain natural convection problem and observed model uncertainty
- A stabilized Nitsche overlapping mesh method for the Stokes problem
- A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
- A finite element variational multiscale method for incompressible flows based on two local Gauss integrations
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- A domain splitting algorithm for parabolic problems
- The immersed interface method using a finite element formulation
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems
- Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes-Stokes model
- Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A model for two coupled turbulent fluids. III: Numerical approximation by finite elements
- Mathematical theory for the coupled atmosphere-ocean models (CAO III)
- Mixed stabilized finite element method for the stationary Stokes-dual-permeability fluid flow model
- A conforming enriched finite element method for Stokes interface problems
- The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem
- A new unfitted stabilized Nitsche's finite element method for Stokes interface problems
- Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions
- Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
- First order system least squares method for the interface problem of the Stokes equations
- Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
- Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow
- Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem
- Decoupled Time Stepping Methods for Fluid-Fluid Interaction
- The Finite Element Method: Theory, Implementation, and Applications
- A hierarchical NXFEM for fictitious domain simulations
- Partitioned Time Stepping for a Parabolic Two Domain Problem
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- An iterative procedure to solve a coupled two-fluids turbulence model
- Nitsche's method for interface problems in computa-tional mechanics
- Mixed and Hybrid Finite Element Methods
- A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization
- A Defect-Deferred Correction Method for Fluid-Fluid Interaction
- Numerical Methods for Fluid-Structure Interaction — A Review
- Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
- On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- A fictitious domain approach for the Stokes problem based on the extended finite element method
- Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics
- A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
- Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Galerkin Finite Element Methods for Parabolic Problems
