Optimal error estimates for the pseudostress formulation of the Navier-Stokes equations

DOI10.1016/j.aml.2017.10.017zbMath1457.65200OpenAlexW2767273494MaRDI QIDQ1693626

Boyoon Seo, Eun-Jae Park, Dongho Kim

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.10.017

zbMATH Keywords

Navier-Stokes equationserror estimatespseudostress-velocity formulation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

Error analysis for the pseudostress formulation of unsteady Stokes problem ⋮ Convergence of multi-level algorithms for a class of nonlinear problems

Cites Work

• Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
• A new mixed formulation for elasticity
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations
• A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
• Mixed finite element methods for incompressible flow: Stationary Stokes equations
• Finite Element Methods for Navier-Stokes Equations
• A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations

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