2 citations · 4 across the 7 of their papers we have counts for
7 papers
and error identities for the scalar Signorini problem
Sören Bartels, Thirupathi Gudi, Alex Kaltenbach
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an error identity for arbitrary conforming approximations of th…
Convergence analysis for a fully-discrete finite element approximation of the unsteady -Navier-Stokes equations
Luigi C. Berselli, Alex Kaltenbach
In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete approximation of the unsteady -Navier-Stokes equations…
Note on quasi-optimal error estimates for the pressure for shear-thickening fluids
Alex Kaltenbach, Michael Růžička
In this paper, we derive quasi-optimal a priori error estimates for the kinematic pressure for a Local Discontinuous Galerkin (LDG) approximation of steady systems of -Navier-St…
Finite element discretization of the steady, generalized Navier-Stokes equations with inhomogeneous Dirichlet boundary conditions
Julius Jeßberger, Alex Kaltenbach
We propose a finite element discretization for the steady, generalized Navier-Stokes equations for fluids with shear-dependent viscosity, completed with inhomogeneous Dirichlet bou…
The Deep Ritz Method for Parametric -Dirichlet Problems
Alex Kaltenbach, Marius Zeinhofer
We establish error estimates for the approximation of parametric -Dirichlet problems deploying the Deep Ritz Method. Parametric dependencies include, e.g., varying geometries an…
Existence of steady solutions for a model for micropolar electrorheological fluid flows with not globally --Hölder continuous shear exponent
Alex Kaltenbach, Michael Růžička
In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the st…