25 citations · 50 across the 29 of their papers we have counts for
5 papers · 1 filter
Unconditional stability of semi-implicit discretizations of singular flows
Sören Bartels, Lars Diening, Ricardo H. Nochetto
A popular and efficient discretization of evolutions involving the singular -Laplace operator is based on a factorization of the differential operator into a linear part which i…
Error bounds for discretized optimal transport and its reliable efficient numerical solution
Sören Bartels, Stephan Hertzog
The discretization of optimal transport problems often leads to large linear programs with sparse solutions. We derive error estimates for the approximation of the problem using co…
Alternating direction method of multipliers with variable step sizes
Sören Bartels, Marijo Milicevic
The alternating direction method of multipliers (ADMM) is a flexible method to solve a large class of convex minimization problems. Particular features are its unconditional conver…
Modeling and simulation of thermally actuated bilayer plates
Soeren Bartels, Andrea Bonito, Anastasia Muliana +1
We present a mathematical model of polymer bilayers that undergo large bending deformations when actuated by non-mechanical stimuli such as thermal effects. The simple model captur…
Spectral approximation of fractional PDEs in image processing and phase field modeling
Harbir Antil, Sören Bartels
Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image processing and phase fi…