Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique
Computational Engineering, Finance, and Science
2019-03-25 v2
Abstract
The proper generalized decomposition is applied to a static electrothermal model subject to uncertainties. A reduced model that circumvents the curse of dimensionality is obtained. The quadratic electrothermal coupling term is non-standard and requires the introduction of a trilinear form. An existing finite integration technique based solver is used to demonstrate the opportunities and difficulties in integrating the proper generalized decomposition in existing codes.
Cite
@article{arxiv.1812.06867,
title = {Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique},
author = {Alexander Krimm and Thorben Casper and Sebastian Schöps and Herbert De Gersem and Ludovic Chamoin},
journal= {arXiv preprint arXiv:1812.06867},
year = {2019}
}
Comments
submitted to IEEE Transactions on Magnetics - Conferences, to appear