GLS methods for Stokes equations under boundary condition of friction type: formulation -- analysis -- numerical schemes and simulations
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Publication:6067530
DOI10.1007/s40324-022-00312-2zbMath1527.76030OpenAlexW4281295055MaRDI QIDQ6067530
Publication date: 14 December 2023
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-022-00312-2
convergencevariational inequalityaugmented LagrangianGLSalternating direction method of multiplieractive set strategyTresca friction lawprojection-like method
Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
Cites Work
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- Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure
- A Matlab mesh generator for the two-dimensional finite element method
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Stabilized mixed methods for the Stokes problem
- Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- An algorithm for the numerical realization of 3D contact problems with Coulomb friction.
- On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type
- A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
- Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations
- Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
- Penalty finite element method for Stokes problem with nonlinear slip boundary conditions
- Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions
- Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions
- Error estimates for Stokes problem with Tresca friction conditions
- Numerical Methods for Grade-Two Fluid Models
- Finite Element Methods for Navier-Stokes Equations
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions
- Mixed Finite Element Methods and Applications
- Power law Stokes equations with threshold slip boundary conditions: Numerical methods and implementation
- STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS
- GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows
- A minimal stabilisation procedure for mixed finite element methods
