Background: A generalized model of mathematical nature is considered to address the
viscoelastic flow problem using fractional derivatives. Control/freedom of the flow …

This article presents a full and reduced-order methodology based on the finite element
method that allows the characterization of convective-dominant conjugate heat transfer …

Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …

We consider the damped Newton method for strongly monotone and Lipschitz continuous
operator equations in a variational setting. We provide a very accessible justification why the …

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 …

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 …

We will make a link between the steepest descent method for an unconstrained minimisation
problem and fixed-point iterations for its Euler–Lagrange equation. In this context, we shall …