5 citations · 12 across the 14 of their papers we have counts for
14 papers · 1 filter
Quasi-optimal error estimates for the approximation of stable harmonic maps
Sören Bartels, Christian Palus, Zhangxian Wang
Based on a quantitative version of the inverse function theorem and an appropriate saddle-point formulation we derive a quasi-optimal error estimate for the finite element approxim…
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…
Computing confined elasticae
Sören Bartels, Pascal Weyer
A numerical scheme for computing arc-length parametrized curves of low bending energy that are confined to convex domains is devised. The convergence of the discrete formulations t…
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…
Simulating Self-Avoiding Isometric Plate Bending
Sören Bartels, Frank Meyer, Christian Palus
Inspired by recent results on self-avoiding inextensible curves, we propose and experimentally investigate a numerical method for simulating isometric plate bending without self-in…
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems
Sören Bartels, Robert Tovey, Friedrich Wassmer
Recent quasi-optimal error estimates for the finite element approximation of total-variation regularized minimization problems require the existence of a Lipschitz continuous dual…