28 citations · 76 across the 7 of their papers we have counts for
7 papers
Multi-patch isogeometric neural solver for partial differential equations on computer-aided design domains
Moritz von Tresckow, Ion Gabriel Ion, Dimitrios Loukrezis
This work develops a computational framework that combines physics-informed neural networks with multi-patch isogeometric analysis to solve partial differential equations on comple…
Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries
Ion Gabriel Ion, Dimitrios Loukrezis, Herbert De Gersem
This work develops a numerical solver based on the combination of isogeometric analysis (IGA) and the tensor train (TT) decomposition for the approximation of partial differential…
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…
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…
Hybrid Modelling Approaches for Forecasting Energy Spot Prices in EPEC market
Tahir Miriyev, Alessandro Contu, Kevin Schafers +1
In this work we considered several hybrid modelling approaches for forecasting energy spot prices in EPEC market. Hybridization is performed through combining a Naive model, Fourie…
Magnetic Field Simulation with Data-Driven Material Modeling
Herbert De Gersem, Armin Galetzka, Ion Gabriel Ion +2
This paper developes a data-driven magnetostatic finite-element (FE) solver which directly exploits measured material data instead of a material curve constructed from it. The dist…
Robust Shape Optimization of Electric Devices Based on Deterministic Optimization Methods and Finite Element Analysis With Affine Decomposition and Design Elements
Ion Gabriel Ion, Zeger Bontinck, Dimitrios Loukrezis +5
In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine de…