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math.NA2022★ 1 cited
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…
math.NA2021
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…
math.NA2020
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints
Sören Bartels, Christian Palus
Bilayer plates are compound materials that exhibit large bending deformations when exposed to environmental changes that lead to different mechanical responses in the involved mate…