On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations

DOI10.1007/BF01395310zbMath0559.76026MaRDI QIDQ2265896

Max D. Gunzburger, Janet S. Peterson

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132870

zbMATH Keywords

convergenceiterative methodsstagnation pointconforming finite element methodinhomogeneous boundary dataOptimal estimates for the errorstationary inhomogeneous Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (19)

VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity ⋮ An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem ⋮ A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations ⋮ Analysis of Stabilized Crank-Nicolson Time-Stepping Scheme for the Evolutionary Peterlin Viscoelastic Model ⋮ A finite element method for diffusion dominated unsteady viscous flows ⋮ Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains ⋮ Predictor and steplength selection in continuation methods for the Navier-Stokes equations ⋮ A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon ⋮ An efficient long-time stable second-order accurate time-stepping scheme for evolutionary magneto-micropolar flows ⋮ The finite element method in anisotropic Sobolev spaces ⋮ An optimization-based domain decomposition method for the Boussinesq equations ⋮ \(H^{2}\) solutions for the stream function and vorticity formulation of the Navier-Stokes equations ⋮ Flux-preserving enforcement of inhomogeneous Dirichlet boundary conditions for strongly divergence-free mixed finite element methods for flow problems ⋮ A second-order backward difference time-stepping scheme for penalized Navier-Stokes equations modeling filtration through porous media ⋮ An Extrapolated Second Order Backward Difference Time-Stepping Scheme for the Magnetohydrodynamics System ⋮ On finite element approximations of problems having inhomogeneous essential boundary conditions ⋮ A defect-correction method for the incompressible Navier-Stokes equations. ⋮ Algorithmic and theoretical results on computation of incompressible viscous flows by finite element methods ⋮ Stochastic steady-state Navier-Stokes equations with additive random noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Stability of Finite Elements under Divergence Constraints
• Stable and Semistable Low Order Finite Elements for Viscous Flows
• On a Galerkin–Lagrange Multiplier Method for the Stationary Navier–Stokes Equations
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Interpolated Boundary Conditions in the Finite Element Method

This page was built for publication: On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations