Generalized viscoelastic flow with thermal radiations and chemical reactions
Background: A generalized model of mathematical nature is considered to address the
viscoelastic flow problem using fractional derivatives. Control/freedom of the flow …
viscoelastic flow problem using fractional derivatives. Control/freedom of the flow …
Hyperreduced-order modeling of thermally coupled flows
N Espinoza-Contreras, C Bayona-Roa… - Applied Mathematical …, 2024 - Elsevier
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 …
method that allows the characterization of convective-dominant conjugate heat transfer …
On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary
Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …
problems concerning three-dimensional flows of incompressible fluids is nowadays …
A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations
P Heid - Archiv der Mathematik, 2023 - Springer
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 …
operator equations in a variational setting. We provide a very accessible justification why the …
[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 …
incompressible chemically reacting non-Newtonian fluid, whose viscosity depends on both …
A modified Kačanov iteration scheme with application to quasilinear diffusion models
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 …
interpreted as a fixed point iteration method that updates a given approximation by solving a …
A link between the steepest descent method and fixed-point iterations
P Heid - Optimization Letters, 2023 - Springer
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 …
problem and fixed-point iterations for its Euler–Lagrange equation. In this context, we shall …