A projection method for Navier-Stokes equations with a boundary condition including the total pressure
DOI10.1007/s00211-022-01323-xOpenAlexW3165344444MaRDI QIDQ2095804
Publication date: 15 November 2022
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13014
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions
- On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
- Remarks on the pressure error estimates for the projection methods
- Calculation of incompressible viscous flows by an unconditionally stable projection FEM
- Time-dependent Stokes and Navier-Stokes problems with boundary conditions involving pressure, existence and regularity.
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics
- An overview of projection methods for incompressible flows
- Convergence analysis of the FEM approximation of the first-order projection method for incompressible flows with and without the inf-sup condition
- Regularity of solutions to the Navier-Stokes equations with a nonstandard boundary condition
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Finite Element Methods for Navier-Stokes Equations
- Divergence boundary conditions for vector Helmholtz equations with divergence constraints
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case
- On the error estimates for the rotational pressure-correction projection methods
- New development in freefem++
- Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure
- Numerical Solution of the Navier-Stokes Equations
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
This page was built for publication: A projection method for Navier-Stokes equations with a boundary condition including the total pressure
