Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
From MaRDI portal
Publication:5128708
DOI10.1142/S0218202520500165zbMath1444.65065arXiv1907.05699OpenAlexW3006097052MaRDI QIDQ5128708
Johnny Guzmán, Erik Burman, Gabriel R. Barrenechea
Publication date: 23 October 2020
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05699
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Incompressible inviscid fluids (76Bxx)
Related Items (3)
An embedded discontinuous Galerkin method for the Oseen equations ⋮ A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation ⋮ Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
- \(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation
- Two families of mixed finite elements for second order elliptic problems
- Divergence-free \(H(\operatorname{div})\)-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics
- Regularity for elliptic systems of differential forms and applications
- Robust error estimates for stabilized finite element approximations of the two dimensional Navier-Stokes' equations at high Reynolds number
- Theory and practice of finite elements.
- Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- H(div)-CONFORMING FINITE ELEMENTS FOR THE BRINKMAN PROBLEM
- A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
- Finite Element Methods for Navier-Stokes Equations
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
- Vector potentials in three-dimensional non-smooth domains
- A variational $\boldsymbol{H}({\rm div})$ finite-element discretization approach for perfect incompressible fluids
- A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
- H(div) conforming and DG methods for incompressible Euler’s equations
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Mixed Finite Element Methods and Applications
- New development in freefem++
This page was built for publication: Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
