Pressure-robust \(L^2(\Omega)\) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs
DOI10.1016/J.AML.2024.109138MaRDI QIDQ6580294
Publication date: 29 July 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
finite element methodstabilizationStokes equationsdivergence-freepressure-robust \(L^2\) velocity error analysis
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
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- Finite Element Methods for Incompressible Flow Problems
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- A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- The Mathematical Theory of Finite Element Methods
- Inf-sup stabilized Scott--Vogelius pairs on general simplicial grids by Raviart--Thomas enrichment
- Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation
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