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arXiv · 1812.06867

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

Alexander Krimm·Thorben Casper·Sebastian Schöps·Herbert De Gersem·Ludovic Chamoin
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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.

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Alexander Krimm, Thorben Casper, Sebastian Schöps, Herbert De Gersem, Ludovic Chamoin. 2018-12-17. Proper Generalized Decomposition of Parameterized Electrothermal Problems Discretized by the Finite Integration Technique. https://doi.org/10.1109/tmag.2019.2907223

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