3 citations · 3 across the 1 of their papers we have counts for
5 papers
A Priori and A Posteriori Error Identities for Vectorial Problems via Convex Duality
P. A. Gazca-Orozco, A. Kaltenbach
Convex duality has been leveraged in recent years to derive a posteriori error estimates and identities for a wide range of non-linear and non-smooth scalar problems. By employing…
A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow
P. A. Gazca-Orozco
We propose a semismooth Newton method for non-Newtonian models of incompressible flow where the constitutive relation between the shear stress and the symmetric velocity gradient i…
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
Patrick Farrell, Pablo Alexei Gazca Orozco, Endre Süli
We devise 3-field and 4-field finite element approximations of a system describing the steady state of an incompressible heat-conducting fluid with implicit non-Newtonian rheology.…
An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow
P. E. Farrell, P. A. Gazca-Orozco
We propose an augmented Lagrangian preconditioner for a three-field stress-velocity-pressure discretization of stationary non-Newtonian incompressible flow with an implicit constit…
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation
Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relatio…