Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators

DOI10.1515/cmam-2020-0023zbMath1475.65195arXiv2002.11454OpenAlexW3054549873MaRDI QIDQ2052461

Christian Kreuzer, Pietro Zanotti, Rüdiger Verfürth

Publication date: 26 November 2021

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11454

zbMATH Keywords

finite element methodStokes equationsdiscontinuous Galerkinquasi-optimalitypressure robustness

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (5)

Pressure-Robustness in the Context of Optimal Control ⋮ Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity ⋮ Gradient robust mixed methods for nearly incompressible elasticity ⋮ A priori and a posteriori error analysis for semilinear problems in liquid crystals ⋮ Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations

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