On the convergence rate of the Kačanov scheme for shear-thinning fluids

DOI10.1007/s10092-021-00444-3zbMath1483.65186arXiv2101.01398OpenAlexW3217454709MaRDI QIDQ2059732

Endre Süli, Pascal Heid

Publication date: 14 December 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01398

zbMATH Keywords

non-Newtonian fluidspower-law modelCarreau modelenergy contractionKačanov's method

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62)

Related Items (3)

A modified Kačanov iteration scheme with application to quasilinear diffusion models ⋮ An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids ⋮ A damped Kačanov scheme for the numerical solution of a relaxed \(p(x)\)-Poisson equation

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