Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions

DOI10.1016/j.cam.2017.01.012zbMath1415.76455OpenAlexW2584194979MaRDI QIDQ2400309

Feifei Jing, Jian Li, Zhong-hua Zhang, Zhang-Xin Chen

Publication date: 28 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.01.012

zbMATH Keywords

error estimatestime-dependent Navier-Stokes equationscharacteristic methodnonlinear slip boundary conditionslower order finite element pairs

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Adaptive stabilized finite volume method and convergence analysis for the Oseen equations, The two-level stabilized finite element method based on multiscale enrichment for the Stokes eigenvalue problem, Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations, Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type, A three-step stabilized algorithm for the Navier-Stokes type variational inequality, On finite volume methods for a Navier-Stokes variational inequality, A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis, Parallel iterative finite-element algorithms for the Navier-Stokes equations with nonlinear slip boundary conditions, Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations, A SUBGRID STABILIZED METHOD FOR NAVIER-STOKES EQUATIONS WITH NONLINEAR SLIP BOUNDARY CONDITIONS, A three-step defect-correction algorithm for incompressible flows with friction boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions
• Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions
• Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• Characteristic stabilized finite element method for the transient Navier-Stokes equations
• On a strong solution of the non-stationary Navier-Stokes equations under slip or leak boundary conditions of friction type
• A new stabilized finite element method for the transient 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
• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• A coherent analysis of Stokes flows under boundary conditions of friction type
• On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
• On a finite element approximation of the Stokes equations under a slip boundary condition of the 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
• Stabilized finite element methods for a blood flow model of arteriosclerosis
• Finite Element Methods for Navier-Stokes Equations
• Stability of the Lagrange-Galerkin method with non-exact integration
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
• Analysis of an iterative penalty method for Navier–Stokes equations with nonlinear slip boundary conditions
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Equivalent Norms for Sobolev Spaces
• Finite Element Methods and Their Applications