A Sobolev gradient method for treating the steady-state incompressible Navier-Stokes equations

DOI10.2478/s11533-013-0201-4zbMath1260.76016OpenAlexW2043633646MaRDI QIDQ1945350

Robert J. Renka

Publication date: 8 April 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0201-4

zbMATH Keywords

finite element methodleast squaresSobolev gradientNavier-Stokestrust region

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)

Related Items (5)

Minimization of the Ginzburg-Landau energy functional by a Sobolev gradient trust-region method ⋮ Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation ⋮ A trust region method for constructing triangle-mesh approximations of parametric minimal surfaces ⋮ Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids ⋮ Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities

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