4 papers
Pressure-robust and quasioptimal Discontinuous Galerkin discretisations of the -Stokes problem
P. A. Gazca-Orozco, M. RůžiÄka
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…
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…
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…