A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. II: A posteriori error analysis

DOI10.1016/j.cma.2003.11.008zbMath1053.76038OpenAlexW2052874036MaRDI QIDQ597661

Sumit K. Garg

Publication date: 6 August 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.11.008

zbMATH Keywords

Galerkin schemeRaviart-Thomas spacesBank-Weiser error analysis

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem ⋮ A posteriori error estimators for stabilized \(P\)1 nonconforming approximation of the Stokes problem ⋮ A mixed finite element method for the generalized Stokes problem ⋮ Mimetic finite differences for nonlinear and control problems ⋮ Enriched finite element subspaces for dual-dual mixed formulations in fluid mechanics and elasticity ⋮ A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics ⋮ A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes ⋮ A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions ⋮ Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation

Cites Work

• A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate
• A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems
• A mixed-FEM formulation for nonlinear incompressible elasticity in the plane
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. II: A posteriori error analysis