On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case $p \le 2 $

DOI10.1137/S0036142900371209zbMath1008.76047MaRDI QIDQ2706410

Andreas Prohl, Michael Ružička

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergence rateserror analysisimplicit Euler methodstress tensormixed finite element methodshear-dependent viscositydegenerate parabolic problemStokes lawunsteady non-Newtonian fluid flowfully implicit space-time discretization

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Finite difference methods applied to problems in fluid mechanics (76M20) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

The convergence analysis of semi- and fully-discrete projection-decoupling schemes for the generalized Newtonian models ⋮ Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids ⋮ On the Full Space-Time Discretization of the Generalized Stokes Equations: The Dirichlet Case ⋮ Steady flows of Cosserat-Bingham fluids ⋮ Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres ⋮ On the global regularity of shear thinning flows in smooth domains ⋮ Regularity of non-Newtonian fluids ⋮ Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: the Dirichlet problem

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