Least squares finite element method with high continuity NURBS basis for incompressible Navier-Stokes equations

DOI10.1016/J.JCP.2013.12.031zbMath1349.76186OpenAlexW2052060476MaRDI QIDQ348780

Yong-Xin Feng, Zi-Li Xu, De-Xiang Chen, Shi Liu

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.031

zbMATH Keywords

Navier-Stokes equationsFEMleast squaresisogeometric analysisnurbs

Mathematics Subject Classification ID

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

Uses Software

• GeoPDEs

Cites Work

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• A reference solution of the flow over a circular cylinder at \(Re = 40\)
• Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement
• \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
• Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
• On the roles of minimization and linearization in least-squares finite element models of nonlinear boundary-value problems
• Isogeometric analysis using T-splines
• \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
• Weighted least-squares finite element method for cardiac blood flow simulation with echocardiographic data
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Least-squares finite element methods
• Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
• Benchmark spectral results on the lid-driven cavity flow
• The immersed boundary method: a projection approach
• Least-squares finite element formulations for viscous incompressible and compressible fluid flows
• Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem
• Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem
• The 2D lid-driven cavity problem revisited
• A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling
• Least-squares methods for Stokes equations based on a discrete minus one inner product
• A locally conservative, discontinuous least-squares finite element method for the Stokes equations
• A stress-based least-squares finite-element model for incompressible Navier–Stokes equations
• Mixed and Hybrid Finite Element Methods
• A least-squares finite element method for incompressible Navier-Stokes problems
• Finite Element Methods of Least-Squares Type
• Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
• Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
• First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
• Isogeometric Analysis
• FOSLL* Method for the Eddy Current Problem with Three‐Dimensional Edge Singularities
• First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane
• An experimental investigation of the steady separated flow past a circular cylinder
• A practical guide to splines.

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