Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes

DOI10.1016/j.cma.2022.115061OpenAlexW4225678565MaRDI QIDQ2145115

Daniele A. Di Pietro, Jérôme Droniou, Franco Dassi, Lourenco Beirão da Veiga

Publication date: 17 June 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09750

zbMATH Keywords

Stokes problemvirtual element methodcompatible discretizationspolyhedral methodspressure-robustnessdiscrete de Rham method

Mathematics Subject Classification ID

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) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (9)

Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method ⋮ An arbitrary-order fully discrete Stokes complex on general polyhedral meshes ⋮ A pressure-robust discrete de Rham scheme for the Navier-Stokes equations ⋮ A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations ⋮ Cohomology of the discrete de Rham complex on domains of general topology ⋮ A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes ⋮ The Morley-type virtual element method for the Navier-Stokes equations in stream-function form ⋮ Mixed variational formulations of virtual elements for the polyharmonic operator \((-\Delta)^n\) ⋮ A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes

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