39 citations · 291 across the 31 of their papers we have counts for
6 papers · 1 filter
A Neural Solver for Variational Problems on CAD Geometries with Application to Electric Machine Simulation
Moritz von Tresckow, Stefan Kurz, Herbert De Gersem +1
This work presents a deep learning-based framework for the solution of partial differential equations on complex computational domains described with computer-aided design tools. T…
Grassmannian diffusion maps based surrogate modeling via geometric harmonics
Ketson R. M. dos Santos, Dimitrios G. Giovanis, Katiana Kontolati +2
In this paper, a novel surrogate model based on the Grassmannian diffusion maps (GDMaps) and utilizing geometric harmonics is developed for predicting the response of engineering s…
Manifold learning-based polynomial chaos expansions for high-dimensional surrogate models
Katiana Kontolati, Dimitrios Loukrezis, Ketson R. M. dos Santos +2
In this work we introduce a manifold learning-based method for uncertainty quantification (UQ) in systems describing complex spatiotemporal processes. Our first objective is to ide…
Tensor-train approximation of the chemical master equation and its application for parameter inference
Ion Gabriel Ion, Christian Wildner, Dimitrios Loukrezis +2
In this work, we perform Bayesian inference tasks for the chemical master equation in the tensor-train format. The tensor-train approximation has been proven to be very efficient i…
Three-Dimensional Data-Driven Magnetostatic Field Computation using Real-World Measurement Data
Armin Galetzka, Dimitrios Loukrezis, Herbert De Gersem
This paper presents a practical case study of a data-driven magnetostatic finite element solver applied to a real-world three-dimensional problem. Instead of using a hard-coded phe…
Local field reconstruction from rotating coil measurements in particle accelerator magnets
Ion Gabriel Ion, Melvin Liebsch, Abele Simona +5
In this paper a general approach to reconstruct three dimensional field solutions in particle accelerator magnets from distributed magnetic measurements is presented. To exploit th…