iPhoneAlle anzeigen
iPhone 11iPhone 11 ProiPhone 11 Pro MaxiPhone 12iPhone 12 ProiPhone 12 Pro MaxiPhone 12 miniiPhone 13iPhone 13 ProiPhone 13 Pro MaxiPhone 13 miniiPhone 14iPhone 14 PlusiPhone 14 ProiPhone 14 Pro MaxiPhone 15iPhone 15 PlusiPhone 15 ProiPhone 15 Pro MaxiPhone 16iPhone 16 PlusiPhone 16 ProiPhone 16 Pro MaxiPhone 16eiPhone 8iPhone 8 PlusiPhone SE 2020iPhone SE 2022iPhone XiPhone XRiPhone XSiPhone XS Max
Galaxy A-SerieAlle anzeigen
Galaxy A12Galaxy A13Galaxy A13 5GGalaxy A14Galaxy A15Galaxy A16Galaxy A17Galaxy A17 5GGalaxy A20eGalaxy A21Galaxy A22Galaxy A23Galaxy A24Galaxy A25Galaxy A26 5GGalaxy A32Galaxy A33Galaxy A34Galaxy A35Galaxy A36 5GGalaxy A37Galaxy A40Galaxy A41Galaxy A42Galaxy A50Galaxy A51Galaxy A52Galaxy A53Galaxy A54Galaxy A55Galaxy A56 5GGalaxy A57 5GGalaxy A70Galaxy A71Galaxy A72
Redmi SeriesAlle anzeigen
Redmi 10Redmi 13CRedmi 15 5GRedmi Note 10Redmi Note 10 ProRedmi Note 11Redmi Note 11 ProRedmi Note 11 Pro Plus 5GRedmi Note 11sRedmi Note 12Redmi Note 12 5GRedmi Note 12 ProRedmi Note 12 Pro 5GRedmi Note 12 Pro PlusRedmi Note 13Redmi Note 13 5GRedmi Note 13 ProRedmi Note 13 Pro PlusRedmi Note 14Redmi Note 14 Pro PlusRedmi Note 15Redmi Note 15 5GRedmi Note 15 ProRedmi Note 15 Pro 5GRedmi Note 15 Pro Plus 5GRedmi Note 8Redmi Note 8 ProRedmi Note 9Redmi Note 9 Pro
- Startseite
Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Allg. & Lexika Multi-level Substructuring Methods for Model Order Reduction
Derzeit nicht verfügbar
Handgeprüfte Gebrauchtware
Bis zu 50 % günstiger als neu
Der Umwelt zuliebe
Multi-level Substructuring Methods for Model Order Reduction
Frank Blömeling (Unbekannter Einband, Englisch)
★★★★★
☆☆☆☆☆ Keine Bewertungen vorhanden
Optischer Zustand
Beschreibung
This PhD thesis works out two ideas of combining model order reduction with techniques from other fields of numerical linear algebra.
Since the local behaviour of many physical processes is basically linear they can be sufficiently modelled by linear, time-invariant, dynamical systems (LTI-systems). This includes for instance fluiddynamical processes, elastodynamical studies or electric circuits.… Often the numerical treatment requires the application of model reduction methods which reduce the complexity of the LTI-systems. To this end the original system is replaced by a system with much less state space variables. As a matter of course the reduced order system should reproduce the fundamental input/output behaviour and important system characteristics.
Nowadays there exist a variety of suitable methods such as SVD-based or Krylov-based algorithms. SVD-based methods determine global approximations of the LTI-system and are capable to preserve important systems characteristics. Moreover they provide computable a priori error bounds. However, their outstanding disadvantage is the high computational effort. Hence their application is restricted to relatively small systems in general. Krylov-based methods are local approximation methods which are in particular suitable for large LTI-systems for the price of the lack of global error bounds and preservation of system characteristics. Nevertheless, also their applicability is prevented if the order of the system is sufficiently large.
To remedy this problem we combine model reduction methods with recent multi-level substructuring (MLS) techniques which are successfully used in very large eigenvalue computations. We derive multi-level substructuring for LTI systems both algebraically and in a continuous context. A general reduction algorithm which is capable to reduce very large LTI-systems is presented. Within this framework one is free to choose a reduction method. Therefore we benefit from the properties of SVD-based methods, particularly, but also strategies to apply Krylov-based methods are given. Furthermore we examine the error sources of the MLS reduction method and adjust the algorithm to systems which depend on higher order differential equations.
The second part of this thesis adresses large eigenvalue problems which are perturbed by a rational term whose rank is much smaller compared to the problem dimension. Since it is in general preferable to develop problem specific algorithms we exploit the given form. Due to the special structure it is possible to solve a much smaller rational eigenvalue problem instead of the original one. But the application of appropriate nonlinear eigensolvers requires the approximation of parts of the eigenvalue problem by model reduction methods.
In particular we show that it is possible to benefit from a variational characterization of the nonlinear eigenvalues in the symmetric case. Therefore it is guaranteed to find all eigenvalues of interest and we can apply very efficient eigensolvers such as safeguarded iteration. Dieses Produkt haben wir gerade leider nicht auf Lager.
Handgeprüfte Gebrauchtware
Bis zu 50 % günstiger als neu
Der Umwelt zuliebe
Technische Daten
Erscheinungsdatum
28.04.2008
Sprache
Englisch
EAN
9783866243361
Herausgeber
Winter Industries
Serien- oder Bandtitel
Dissertation Classic
Sonderedition
Nein
Autor
Frank Blömeling
Seitenanzahl
128
Auflage
1
Einbandart
Unbekannter Einband
Bandzählung
1436
Schlagwörter
multi-level substructuring, large-scale dynamical systems, model oder reduction, rationally perturbed eigenvalue problems
Höhe
210 mm
Breite
15 cm
-.-
★★★★★
☆☆☆☆☆ Leider noch keine Bewertungen
Leider noch keine Bewertungen
Sicher bei rebuy kaufen
Schreib die erste Bewertung für dieses Produkt!
Wenn du eine Bewertung für dieses Produkt schreibst, hilfst du allen Kund:innen, die noch überlegen, ob sie das Produkt kaufen wollen. Vielen Dank, dass du mitmachst!
Sicher bei rebuy kaufen