Genuinely nonlinear models for convection-dominated problems

DOI10.1016/j.camwa.2003.10.009zbMath1329.76173OpenAlexW2095531451MaRDI QIDQ1779603

Traian Iliescu

Publication date: 1 June 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.10.009

zbMATH Keywords

\(p\)-LaplacianArtificial viscositySubgrid-scale model

Mathematics Subject Classification ID

Fracture and damage (74R99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Fundamentals of turbulence (76F02)

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Cites Work

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• Monotone (nonlinear) operators in Hilbert space
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems
• Adaptive defect correction methods for convection dominated, convection diffusion problems
• Finite-Element Approximations of a Ladyzhenskaya Model for Stationary Incompressible Viscous Flow
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems
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