Weighted least-squares finite elements based on particle imaging velocimetry data

DOI10.1016/j.jcp.2009.09.016zbMath1381.76173OpenAlexW2145007293MaRDI QIDQ1046141

J. Blot

Publication date: 21 December 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.09.016

zbMATH Keywords

finite elementleast-squaresdata assimilationparticle imaging velocimetry

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

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• Accuracy of least-squares methods for the Navier--Stokes equations
• Algebraic multigrid for higher-order finite elements
• An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation
• The Effect of Estimating Weights in Weighted Least Squares
• A Note on the Generation of Random Normal Deviates
• Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities
• Finite Element Methods of Least-Squares Type
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Three-dimensional multigrid Reynolds-averaged Navier-Stokes solver for unstructured meshes
• Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities