Adaptive least-squares finite element approximations to Stokes equations

DOI10.1016/J.CAM.2014.11.041zbMath1309.65135OpenAlexW2075966124MaRDI QIDQ484893

Tsu-Fen Chen, Hsueh-Chen Lee

Publication date: 8 January 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.11.041

zbMATH Keywords

Stokes equationadaptive graded meshgrading functionleast-squares finite elementmesh redistributionnonlinear weighting function

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

An adaptive least-squares finite element method for Giesekus viscoelastic flow problems ⋮ Efficient stress-velocity least-squares finite element formulations for the incompressible Navier-Stokes equations ⋮ An a posteriori error estimator based on least-squares finite element solutions for viscoelastic fluid flows

Uses Software

• Triangle

Cites Work

• Four-field Galerkin/least-squares formulation for viscoelastic fluids
• A nonlinear weighted least-squares finite element method for Stokes equations
• High-resolution finite element simulation of 4:1 planar contraction flow of viscoelastic fluid
• A sweepline algorithm for Voronoi diagrams
• A new approach for the FEM simulation of viscoelastic flows
• Numerical construction of optimal adaptive grids in two spatial dimensions
• On the discrete EVSS method
• Least-squares finite element methods for generalized Newtonian and viscoelastic flows
• Grading Functions and Mesh Redistribution
• Finite Element Methods of Least-Squares Type
• GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows

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