Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique

被引：9

作者：

Krimm, Alexander ^{[1
]}

Casper, Thorben ^{[1
,2
]}

Schoeps, Sebastian ^{[1
,2
]}

De Gersem, Herbert ^{[1
,2
]}

Chamoin, Ludovic ^{[3
]}

机构：

[1] Tech Univ Darmstadt, Inst Theorie Elektromagnet Felder, D-64289 Darmstadt, Germany

[2] Tech Univ Darmstadt, Grad Sch Computat Engn, D-64293 Darmstadt, Germany

[3] ENS Paris Saclay, Lab Mech & Technol, F-94230 Cachan, France

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2019年 / 55卷 / 06期

关键词：

Curse of dimensionality; electrothermal; model order reduction; proper generalized decomposition (PGD); SIMULATION;

D O I：

10.1109/TMAG.2019.2907223

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We apply the proper generalized decomposition (PGD) to a static electrothermal model subject to uncertainties. The quadratic electrothermal coupling term is non-standard and requires the introduction of a trilinear form. We use an existing finite integration technique (FIT)-based solver to demonstrate the opportunities of integrating the PGD in existing codes. The obtained reduced model approximates the temperature distribution in a voltage-excited microelectronic chip package that exhibits 12 wires of uncertain length.

引用

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