An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use

A Galetzka, D Loukrezis, N Georg… - International Journal …, 2023 - Wiley Online Library
This article introduces an hp hp‐adaptive multi‐element stochastic collocation method,
which additionally allows to re‐use existing model evaluations during either hh‐or pp …

On expansions and nodes for sparse grid collocation of lognormal elliptic PDEs

OG Ernst, B Sprungk, L Tamellini - Sparse Grids and Applications-Munich …, 2021 - Springer
This work is a follow-up to our previous contribution (“Convergence of sparse collocation for
functions of countably many Gaussian random variables (with application to elliptic PDEs)” …

Enhanced adaptive surrogate models with applications in uncertainty quantification for nanoplasmonics

N Georg, D Loukrezis, U Römer… - International Journal for …, 2020 - dl.begellhouse.com
We propose an efficient surrogate modeling technique for uncertainty quantification. The
method is based on a well-known dimension-adaptive collocation scheme. We improve the …

[HTML][HTML] Uncertainty modeling and analysis of the European X-ray free electron laser cavities manufacturing process

J Corno, N Georg, SG Zadeh, J Heller… - Nuclear Instruments and …, 2020 - Elsevier
This paper reports on comprehensive efforts on uncertainty quantification and global
sensitivity analysis for accelerator cavity design. As a case study object the TESLA shaped …

Low-rank tensor decompositions for surrogate modeling in forward and inverse problems

IG Ion - 2024 - tuprints.ulb.tu-darmstadt.de
This thesis addresses the topic of surrogate modeling for forward and inverse problems, in
the context of parameter dependent systems described by differential equations. The …

[HTML][HTML] Sensitivity Calculation Based on the Adjoint Variable Method for the Transient Nonlinear Electroquasistatic-Thermal HVDC Cable Joint Problem

MG Ruppert-Schmidt - tuprints.ulb.tu-darmstadt.de
Germany's transition to green energy requires new transmission infrastructure, including
underground High-Voltage Direct Current (HVDC) technology. HVDC cable joints, which …

[引用][C] Uncertainty quantification for nanoplasmonics with adjoint-based Leja adaptive collocation and conformal maps

N Georg, D Loukrezis, U Römer, S Schöps - arXiv preprint arXiv:1807.07485, 2018

[引用][C] An ℎ𝑝-adaptive multi-element stochastic collocation method for surrogate modeling with information re-use