9 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…
Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
Alex Kaltenbach, Julius JeÃberger
A finite element (FE) discretization for the steady, incompressible, fully inhomogeneous, generalized Navier-Stokes equations is proposed. By the method of divergence reconstructio…
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…
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\subse…
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…