70 citations · 239 across the 42 of their papers we have counts for
7 papers · 1 filter
Effective transmission through an interface with evolving microstructure
Lucas M. Fix, Gianna Götzmann, Malte A. Peter +1
We study the asymptotic behaviour of a system of nonlinear reaction--diffusion--advection equations in a domain consisting of two bulk regions connected via microscopic channels di…
Visualizing the Link Between Nanomorphology and Energetic Disorder in 3D Organic Solar Cells
Pelin Çiloğlu, Carmen Tretmans, Carsten Deibel +3
The performance of organic bulk heterojunction (BHJ) solar cells is highly sensitive to both nanomorphology and energetic disorder arising from microscopic molecular packing and st…
Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems
Daniel Peterseim, Jan-F. Pietschmann, Jonas Püschel +1
We present a novel approach to accelerate iterative methods to solve nonlinear Schrödinger eigenvalue problems using neural networks. Nonlinear eigenvector problems are fundamental…
Dynamic Optimal Transport with optimal star shaped graphs
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study an optimal transport problem in a compact convex set where bulk transport is coupled to dynamic optimal transport on a metric graph $ \mathsf{G} = (…
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification
Jan Blechschmidt, Tom-Christian Riemer, Max Winkler +2
We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a…
Dynamic Optimal Transport with Optimal Preferential Paths
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study a dynamic optimal transport type problem on a domain that consists of two parts: a compact set (bulk) and a non-intersecting and sufficiently regul…