Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation

DOI<147::AID-NUM2>3.0.CO;2-9 10.1002/(SICI)1098-2426(200003)16:2<147::AID-NUM2>3.0.CO;2-9zbMath0968.76041OpenAlexW4246282634MaRDI QIDQ4946536

Ming-Jun Lai, Paul R. Wenston

Publication date: 18 September 2001

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(200003)16:2<147::aid-num2>3.0.co;2-9

zbMATH Keywords

Galerkin methodweak solutionexistenceuniquenessMATLABconvergence ratenonlinear fourth-order equationNewton iterative methodsteady-state Navier-Stokes equationstriangulated quadrangulationsbivariate spline finite elements

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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)

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Uses Software

• Matlab

Cites Work

• Finite Element Methods for Navier-Stokes Equations
• Numerical Studies of Prototype Cavity Flow Problems
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