A multipoint vorticity mixed finite element method for incompressible Stokes flow

DOI10.1016/J.AML.2022.108498zbMath1503.76060arXiv2208.13540OpenAlexW4308289228MaRDI QIDQ2106132

Alessio Fumagalli, W. M. Boon

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13540

zbMATH Keywords

Stokes flowconvergence ratehybridizationvorticity-velocity-pressure formulationthree-field mixed finite element 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 methods applied to problems in fluid mechanics (76M10)

Related Items (2)

A critical review on molecular dynamics applied to structure fracture and failure analysis ⋮ Mixed and Multipoint Finite Element Methods for Rotation-Based Poroelasticity

Uses Software

• PorePy
• PyGeoN

Cites Work

• Vorticity-velocity-pressure and stream function-vorticity formulations for the Stokes problem.
• PorePy: an open-source software for simulation of multiphysics processes in fractured porous media
• A multipoint stress-flux mixed finite element method for the Stokes-Biot model
• Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
• MIXED FINITE ELEMENT APPROXIMATION OF THE VECTOR LAPLACIAN WITH DIRICHLET BOUNDARY CONDITIONS
• Local coderivatives and approximation of Hodge Laplace problems
• A Multipoint Flux Mixed Finite Element Method

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