1 citations · 2 across the 12 of their papers we have counts for
12 papers
A -Based Semi-Smooth Newton Method for Convex Variational Problems
Sören Bartels, Alex Kaltenbach
In this paper, we devise a -based semi-smooth Newton method that is applicable to a finite element discretization of a broad class of nonsmooth convex variatio…
A -Based Semi-Smooth Newton Method for TV-Minimization
Sören Bartels, Alex Kaltenbach
In this paper, we devise a -based semi-smooth Newton method for the non-differentiable TV-minimization problem. To this end, the primal-dual optimality conditi…
Pulsatile Flows for Simplified Smart Fluids with Variable Power-Law: Analysis and Numerics
Luigi C. Berselli, Alex Kaltenbach
We study the fully-developed, time-periodic motion of a shear-dependent non-Newtonian fluid with variable exponent rheology through an infinite pipe $Ω:= \mathbb{R}\times Σ\subsete…
Error Analysis for the -Stokes Equations with Slip Boundary Conditions: A Discrete Leray Projection Framework
Alex Kaltenbach, Jörn Wichmann
We present an error analysis for the kinematic pressure in a fully-discrete finite-differences/-elements discretization of the unsteady -Stokes equations, mo…
Error analysis for a fully-discrete finite element approximation of the unsteady -Stokes equations
Luigi C. Berselli, Alex Kaltenbach, Seungchan Ko
In this paper, we examine a fully-discrete finite element approximation of the unsteady -Stokes equations (, is time- and space-dependent), e…
Conditional quasi-optimal error estimate for a finite element discretization of the -Navier-Stokes equations: The case
Alex Kaltenbach, Michael Růžička
In this paper, we derive quasi-optimal error estimates for the kinematic pressure for a Finite Element (FE) approximation of steady systems of -Navier-Stokes…
Energy conservation for weak solutions of incompressible Newtonian fluid equations in Hölder spaces with Dirichlet boundary conditions in the half-space
Luigi C. Berselli, Alex Kaltenbach, Michael Ružička
We investigate sufficient Hölder continuity conditions on Leray-Hopf (weak) solutions to the in unsteady Navier-Stokes equations in three dimensions guaranteeing energy conservatio…
Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
Alex Kaltenbach, Julius Jeßberger
A finite element (FE) discretization for the steady, incompressible, fully inhomogeneous, generalized Navier-Stokes equations is proposed. By the method of divergence reconstructio…
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…
Error analysis for a finite element approximation of the steady -Navier-Stokes equations
Luigi C. Berselli, Alex Kaltenbach
In this paper, we examine a finite element approximation of the steady -Navier-Stokes equations ( is variable dependent) and prove orders of convergence by assu…
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…