3 citations · 5 across the 11 of their papers we have counts for
11 papers · 1 filter
Order Reduction of Exponential Runge--Kutta Methods: Fourth-Order Schemes for Non-Commuting Operators
Thi Tam Dang, Pablo Alexei Gazca-Orozco, Trung Hau Hoang
This paper extends the convergence analysis of explicit exponential Runge--Kutta methods for linear parabolic problems , where generates an analytic semi…
Pressure-robust and quasioptimal Discontinuous Galerkin discretisations of the -Stokes problem
P. A. Gazca-Orozco, M. Růžička
In the present paper, we propose Local Discontinuous Galerkin (LDG) approximations for a nonlinear system of -Stokes type, having -structure. On the basis of the primal f…
Bregman divergences and error control via convex duality
P. A. Gazca-Orozco
Convex duality relations are a useful tool for deriving error estimates for challenging nonlinear and non-smooth variational problems. Applied at the continuous level they can deli…
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 Nitsche method for incompressible fluids with general dynamic boundary conditions
Pablo Alexei Gazca-Orozco, Franz Gmeineder, Erika Maringová Kokavcová +1
Both Newtonian and non-Newtonian fluids may exhibit complex slip behaviour at the boundary. We examine a broad class of slip boundary conditions that generalises the commonly used…
Quasi-optimal Discontinuous Galerkin discretisations of the -Dirichlet problem
J. Blechta, P. A. Gazca-Orozco, A. Kaltenbach +1
The classical arguments employed when obtaining error estimates of Finite Element (FE) discretisations of elliptic problems lead to more restrictive assumptions on the regularity o…
Numerical approximation of a thermodynamically complete rate-type model for the elastic--perfectly plastic response
Pablo Alexei Gazca-Orozco, Vít Průša, Karel Tůma
We analyse a numerical scheme for a system arising from a novel description of the standard elastic--perfectly plastic response. The elastic--perfectly plastic response is describe…
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…