A variational $\boldsymbol{H}({\rm div})$ finite-element discretization approach for perfect incompressible fluids
From MaRDI portal
Publication:4555974
DOI10.1093/imanum/drx033zbMath1408.65069arXiv1606.06199OpenAlexW2463563296MaRDI QIDQ4555974
Andrea Natale, Colin John Cotter
Publication date: 23 November 2018
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.06199
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) Euler equations (35Q31)
Related Items
An embedded discontinuous Galerkin method for the Oseen equations ⋮ A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\) ⋮ A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem ⋮ Compatible finite element methods for geophysical fluid dynamics ⋮ A compatible finite element discretisation for the nonhydrostatic vertical slice equations ⋮ Semi-Lagrangian finite element exterior calculus for incompressible flows ⋮ Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics ⋮ \(H(\operatorname{div})\) conforming methods for the rotation form of the incompressible fluid equations ⋮ Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow ⋮ Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations ⋮ Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction ⋮ Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations ⋮ Structure-preserving reduced basis methods for Poisson systems ⋮ A conservative finite element method for the incompressible Euler equations with variable density ⋮ Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements
