[HTML][HTML] An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids

P Heid, E Süli - Applied Numerical Mathematics, 2022 - Elsevier
In this work, we further extend the theory in [C. Kreuzer, E. Süli, Adaptive finite element
approximation of steady flows of incompressible fluids with implicit power-law-like rheology …

[PDF][PDF] Nonlinear iterative approximation of steady incompressible chemically reacting flows

PA Gazca-Orozco, P Heid… - Comptes …, 2023 - comptes-rendus.academie-sciences …
We consider a system of nonlinear partial differential equations modelling steady flow of an
incompressible chemically reacting non-Newtonian fluid, whose viscosity depends on both …

A modified Kačanov iteration scheme with application to quasilinear diffusion models

P Heid, TP Wihler - ESAIM: Mathematical Modelling and Numerical …, 2022 - esaim-m2an.org
The classical Kačanov scheme for the solution of nonlinear variational problems can be
interpreted as a fixed point iteration method that updates a given approximation by solving a …

A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation

P Heid - Partial Differential Equations and Applications, 2023 - Springer
The focus of the present work is the (theoretical) approximation of a solution of the p (x)-
Poisson equation. To devise an iterative solver with guaranteed convergence, we will …