activity
20222024
most citedDeep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems

55 citations · 67 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2024

Precomputing approach for a two-scale phase transition model

Michael Eden, Tom Freudenberg, Adrian Muntean

In this study, we employ analytical and numerical techniques to examine a phase transition model with moving boundaries. The model displays two relevant spatial scales pointing out…

eess.IV2024

Data-driven approaches for electrical impedance tomography image segmentation from partial boundary data

Alexander Denker, Zeljko Kereta, Imraj Singh +4

Electrical impedance tomography (EIT) plays a crucial role in non-invasive imaging, with both medical and industrial applications. In this paper, we present three data-driven recon…

math.AP2024

Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain

Tom Freudenberg, Michael Eden

We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertic…

math.AP2023★ 3 cited

Homogenization and simulation of heat transfer through a thin grain layer

Tom Freudenberg, Michael Eden

We investigated the effective influence of grain structures on the heat transfer between a fluid and solid domain using mathematical homogenization. The presented model consists of…

math.AP2022★ 9 cited

Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation

Michael Eden, Tom Freudenberg

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differenti…

cs.LG2022★ 55 cited

Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems

Derick Nganyu Tanyu, Jianfeng Ning, Tom Freudenberg +4

Recent years have witnessed a growth in mathematics for deep learning--which seeks a deeper understanding of the concepts of deep learning with mathematics and explores how to make…