Challenges of order reduction techniques for problems involving polymorphic uncertainty (Englisch)

in GAMM‐Mitteilungen ; 42 , 2
GAMM‐Mitteilungen

Modeling of mechanical systems with uncertainties is extremely challenging and requires a careful analysis of a huge amount of data. Both, probabilistic modeling and nonprobabilistic modeling require either an extremely large ensemble of samples or the introduction of additional dimensions to the problem, thus, resulting also in an enormous computational cost growth. No matter whether the Monte‐Carlo sampling or Smolyak's sparse grids are used, which may theoretically overcome the curse of dimensionality, the system evaluation must be performed at least hundreds of times. This becomes possible only by using reduced order modeling and surrogate modeling. Moreover, special approximation techniques are needed to analyze the input data and to produce a parametric model of the system's uncertainties. In this paper, we describe the main challenges of approximation of uncertain data, order reduction, and surrogate modeling specifically for problems involving polymorphic uncertainty. Thereby some examples are presented to illustrate the challenges and solution methods.

Wie erhalte ich diesen Titel?
Download
Kommerziell Vergütung an den Verlag: 37,79 € Grundgebühr: 4,00 € Gesamtpreis: 41,79 €
Akademisch Vergütung an den Verlag: 37,79 € Grundgebühr: 2,00 € Gesamtpreis: 39,79 €

Dokumentinformationen


Inhaltsverzeichnis – Band 42, Ausgabe 2

Zeige alle Jahrgänge und Ausgaben

Die Inhaltsverzeichnisse werden automatisch erzeugt und basieren auf den im Index des TIB-Portals verfügbaren Nachweisen der enthaltenen Aufsätze. Die Anzeige der Jahrgänge kann aufgrund fehlender Aufsatznachweise unvollständig oder lückenhaft sein, obwohl die Zeitschrift komplett in der TIB verfügbar ist.

Assessment and design of an engineering structure with polymorphic uncertainty quantification
Papaioannou, Iason / Daub, Marco / Drieschner, Martin / Duddeck, Fabian / Ehre, Max / Eichner, Lukas / Eigel, Martin / Götz, Marco / Graf, Wolfgang / Grasedyck, Lars et al. | 2019
Issue Information
| 2019
Multifidelity approaches for uncertainty quantification
Biehler, Jonas / Mäck, Markus / Nitzler, Jonas / Hanss, Michael / Koutsourelakis, Phaedon‐Stelios / Wall, Wolfgang A. | 2019
Analysis of polymorphic data uncertainties in engineering applications
Drieschner, Martin / Matthies, Hermann G. / Hoang, Truong‐Vinh / Rosić, Bojana V. / Ricken, Tim / Henning, Carla / Ostermeyer, Georg‐Peter / Müller, Michael / Brumme, Stephan / Srisupattarawanit, Tarin et al. | 2019
Challenges of order reduction techniques for problems involving polymorphic uncertainty
Pivovarov, Dmytro / Willner, Kai / Steinmann, Paul / Brumme, Stephan / Müller, Michael / Srisupattarawanit, Tarin / Ostermeyer, Georg‐Peter / Henning, Carla / Ricken, Tim / Kastian, Steffen et al. | 2019

Ähnliche Titel