1 citations · 2 across the 4 of their papers we have counts for
6 papers
Explicit and efficient error estimation for convex minimization problems
Sören Bartels, Alex Kaltenbach
We combine a systematic approach for deriving general a posteriori error estimates for convex minimization problems based on convex duality relations with a recently derived genera…
Error estimates for total-variation regularized minimization problems with singular dual solutions
Alex Kaltenbach, Sören Bartels
Recent quasi-optimal error estimates for the finite element approximation of total-variation regularized minimization problems using the Crouzeix--Raviart finite element require th…
On the existence of weak solutions for a family of unsteady rotational Smagorinsky models
Luigi C. Berselli, Alex Kaltenbach, Roger Lewandowski +1
In this paper we show that the rotational Smagorinsky model for turbulent flows, can be put, for a wide range of parameters in the setting of Bochner pseudo-monotone evolution equa…
Pseudo-monotone operator theory for unsteady problems in variable exponent spaces
A. Kaltenbach
We prove by means of advanced pseudo-monotonicity methods an abstract existence result for parabolic partial differential equations with -Hölder continuous variable exponent…
Variable exponent Bochner-Lebesgue spaces with symmetric gradient structure
A. Kaltenbach, R. Růžička
We introduce function spaces for the treatment of non-linear parabolic equations with variable -Hölder continuous exponents, which only incorporate information of the symmetr…
Note on the existence theory for pseudo-monotone evolution problems
Alex Kaltenbach, Michael Růžička
In this note we develop a framework which allows to prove an existence result for non-linear evolution problems involving time-dependent, pseudo-monotone operators. This abstract e…