UNIVERSI
TÄ
TS-
BIBLIOTHEK
P
ADERBORN
Anmelden
Menü
Menü
Start
Hilfe
Blog
Weitere Dienste
Neuerwerbungslisten
Fachsystematik Bücher
Erwerbungsvorschlag
Bestellung aus dem Magazin
Fernleihe
Einstellungen
Sprache
Deutsch
Deutsch
Englisch
Farbschema
Hell
Dunkel
Automatisch
Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist
gegebenenfalls
nur via VPN oder Shibboleth (DFN-AAI) möglich.
mehr Informationen...
Universitätsbibliothek
Katalog
Suche
Details
Zur Ergebnisliste
Ergebnis 21 von 493
Datensatz exportieren als...
BibTeX
Error estimation in a stochastic finite element method in electrokinetics
International journal for numerical methods in engineering, 2010-03, Vol.81 (11), p.1417-1438
Clénet, S.
Ida, N.
2010
Details
Autor(en) / Beteiligte
Clénet, S.
Ida, N.
Titel
Error estimation in a stochastic finite element method in electrokinetics
Ist Teil von
International journal for numerical methods in engineering, 2010-03, Vol.81 (11), p.1417-1438
Ort / Verlag
Chichester, UK: John Wiley & Sons, Ltd
Erscheinungsjahr
2010
Link zum Volltext
Quelle
Wiley Blackwell Single Titles
Beschreibungen/Notizen
Input data to a numerical model are not necessarily well known. Uncertainties may exist both in material properties and in the geometry of the device. They can be due, for instance, to ageing or imperfections in the manufacturing process. Input data can be modelled as random variables leading to a stochastic model. In electromagnetism, this leads to solution of a stochastic partial differential equation system. The solution can be approximated by a linear combination of basis functions rising from the tensorial product of the basis functions used to discretize the space (nodal shape function for example) and basis functions used to discretize the random dimension (a polynomial chaos expansion for example). Some methods (SSFEM, collocation) have been proposed in the literature to calculate such approximation. The issue is then how to compare the different approaches in an objective way. One solution is to use an appropriate a posteriori numerical error estimator. In this paper, we present an error estimator based on the constitutive relation error in electrokinetics, which allows the calculation of the distance between an average solution and the unknown exact solution. The method of calculation of the error is detailed in this paper from two solutions that satisfy the two equilibrium equations. In an example, we compare two different approximations (Legendre and Hermite polynomial chaos expansions) for the random dimension using the proposed error estimator. In addition, we show how to choose the appropriate order for the polynomial chaos expansion for the proposed error estimator. Copyright © 2009 John Wiley & Sons, Ltd.
Sprache
Englisch
Identifikatoren
ISSN: 0029-5981
eISSN: 1097-0207
DOI: 10.1002/nme.2735
Titel-ID: cdi_proquest_miscellaneous_753652915
Format
–
Schlagworte
Applied classical electromagnetism
,
Basis functions
,
Chaos theory
,
Computational techniques
,
Electromagnetic wave propagation, radiowave propagation
,
electromagnetics
,
Electromagnetism
,
electron and ion optics
,
error estimation
,
Errors
,
Estimators
,
Exact sciences and technology
,
finite element method
,
Fundamental areas of phenomenology (including applications)
,
Mathematical analysis
,
Mathematical methods in physics
,
Mathematical models
,
Permissible error
,
Physics
,
stochastic problem chaos expansion
,
Stochasticity
Weiterführende Literatur
Empfehlungen zum selben Thema automatisch vorgeschlagen von
bX