A posteriori error estimate techniques for coupled Navier-Stokes equations and energy equation

DOI10.1016/j.na.2005.01.042zbMath1224.76097OpenAlexW2085197227MaRDI QIDQ999934

Jun Cao

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.042

zbMATH Keywords

Navier-Stokes equationsmesh adaptationenergy equationA posteriori error estimate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• Finite element solution of the shallow water equations by a quasi-direct decomposition procedure
• Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
• Compressible viscous flow calculations using compatible finite element approximations
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Analysis of Some Moving Space-Time Finite Element Methods
• A‐posteriori error estimates for the finite element method
• Mesh Smoothing Using A Posteriori Error Estimates

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