Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier–Stokes equations
DOI10.1002/num.23002arXiv2112.03903MaRDI QIDQ6066575
Chen Liu, Rami Masri, Béatrice Rivière
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.03903
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Mathematical aspects of discontinuous Galerkin methods.
- Strong convergence of discrete DG solutions of the heat equation
- On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
- A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
- A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations
- An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media
- Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
- An overview of projection methods for incompressible flows
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- On stability and convergence of projection methods based on pressure Poisson equation
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence
- The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
- A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
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