4 papers · 1 filter
Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids
Pascal Heid, Endre Süli
In this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a…
Analysis of a stabilised finite element method for power-law fluids
Gabriel R. Barrenechea, Endre Suli
A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is based on a continuous piecewis…
Finite Element Approximation of Steady Flows of Colloidal Solutions
Andrea Bonito, Vivette Girault, Diane Guignard +2
We consider the mathematical analysis and numerical approximation of a system of nonlinear partial differential equations that arises in models that have relevance to steady isocho…
On the convergence rate of the Kačanov scheme for shear-thinning fluids
Pascal Heid, Endre Süli
We explore the convergence rate of the Kačanov iteration scheme for different models of shear-thinning fluids, including Carreau and power-law type explicit quasi-Newtonian constit…