A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
DOI10.1186/s13662-019-2312-0zbMath1459.76080OpenAlexW2972177499MaRDI QIDQ2203679
Jian Li, Haibiao Zheng, Qingsong Zou
Publication date: 2 October 2020
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2312-0
variational inequalitynumerical experimentsfinite element methodsa posteriori error estimatesStokes equationsslip boundary conditiona priori error estimates
PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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)
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- A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations
- A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem
- Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions
- A new stabilized finite element method for the transient Navier-Stokes equations
- A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
- Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions
- A new stabilized finite volume method for the stationary Stokes equations
- A stable finite element for the Stokes equations
- A posteriori error estimators for the Stokes equations
- On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
- Optimal low order finite element methods for incompressible flow
- The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem
- A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis
- Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions
- Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type
- Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type
- Error estimates for Stokes problem with Tresca friction conditions
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow
- A Posteriori Error Estimates for the Stokes Problem
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- Adaptive stabilized mixed finite volume methods for the incompressible flow
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
- A stabilized finite element method for the Stokes problem based on polynomial pressure projections
- A linear, decoupled fractional time‐stepping method for the nonlinear fluid–fluid interaction
- Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions
- Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem
- NON-NEWTONIAN STOKES FLOW WITH FRICTIONAL BOUNDARY CONDITIONS
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Finite Element Methods and Their Applications
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