Error Estimators for Proper Generalized Decomposition in Time-Dependent Electromagnetic Field Problems

Due to fine discretization in space and time, the simulation of transient electromagnetic phenomena results in a large system of equations. To cope with this computational effort, model-order reduction techniques can be employed. To assess the accuracy of the solution of the reduced model, an error...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on magnetics 2020-01, Vol.56 (1), p.1-4
Main Authors: Muller, F., Henneron, T., Clenet, S., Hameyer, K.
Format: Article
Language:English
Subjects:
Biological system modeling
Coils
Computational modeling
Computer simulation
Convergence
Decomposition
Eddy currents
Electromagnetic fields
Electromagnetism
Engineering Sciences
Error criteria
finite-element method (FEM)
Magnetism
Mathematical model
Model reduction
model-order reduction (MOR)
proper generalized decomposition (PGD)
Time dependence
Transient analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Due to fine discretization in space and time, the simulation of transient electromagnetic phenomena results in a large system of equations. To cope with this computational effort, model-order reduction techniques can be employed. To assess the accuracy of the solution of the reduced model, an error estimation is crucial. A commonly used approach consists in the evaluation of the deviation between the reduced and the full model. This yields a loss of the a priori property of the proper generalized decomposition. To overcome this problem, two a priori criteria are presented in this article.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2019.2949094