3 papers
math.NA2025
A hybrid minimizing movement and neural network approach to Willmore flow
Martin Rumpf, Josua Sassen, Christoph Smoch
We present a hybrid method combining a minimizing movement scheme with neural operators for the simulation of phase field-based Willmore flow. The minimizing movement component is…
math.NA2023
Two-Scale Finite Element Approximation of a Homogenized Plate Model
Martin Rumpf, Stefan Simon, Christoph Smoch
This paper studies the discretization of a homogenization and dimension reduction model for the elastic deformation of microstructured thin plates proposed by Hornung, Neukamm, and…
math.NA2021
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
Martin Rumpf, Stefan Simon, Christoph Smoch
In this paper, the numerical approximation of isometric deformations of thin elastic shells is discussed. To this end, for a thin shell represented by a parametrized surface, it is…