A Pressure-Robust Embedded Discontinuous Galerkin Method for the Stokes Problem by Reconstruction Operators

DOI10.1137/20M1318389zbMath1451.65199arXiv2002.04951OpenAlexW3093233425MaRDI QIDQ5130583

Sander Rhebergen, Philip L. Lederer

Publication date: 28 October 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04951

zbMATH Keywords

Stokes equationsdiscontinuous Galerkin finite element methodsembeddedpressure-robustnessexact divergence-free velocity reconstruction

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

An embedded discontinuous Galerkin method for the Oseen equations ⋮ Local divergence-free polynomial interpolation on MAC grids ⋮ A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations ⋮ Gradient robust mixed methods for nearly incompressible elasticity ⋮ A new global divergence free and pressure-robust HDG method for tangential boundary control of Stokes equations ⋮ An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations ⋮ Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator ⋮ A pressure robust staggered discontinuous Galerkin method for the Stokes equations

Uses Software

• Netgen
• NGSolve

Cites Work

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