Abstract
Recently, the block-diagonal structured model order reduction method for electro-thermal coupled problems with many inputs (BDSM-ET) was proposed in Banagaaya et al. (Model order reduction for nanoelectronics coupled problems with many inputs. In: Proceedings 2016 design, automation & test in Europe conference & exhibition, DATE 2016, Dresden, March 14–16, pp 313–318, 2016). After splitting the electro-thermal (ET) coupled problems into electrical and thermal subsystems, the BDSM-ET method reduces both subsystems separately, using Gaussian elimination and the block-diagonal structured MOR (BDSM) method, respectively. However, the reduced electrical subsystem has dense matrices and the nonlinear part of the reduced-order thermal subsystem is computationally expensive. We propose a modified BDSM-ET method which leads to sparser reduced-order models (ROMs) for both the electrical and thermal subsystems. Simulation of a very large-scale model with up to one million state variables shows that the proposed method achieves significant speed-up as compared with the BDSM-ET method.
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Acknowledgements
This work is supported by the collaborative project nanoCOPS, Nanoelectronics COupled Problems Solutions, supported by the European Union in the FP7-ICT-2013-11 Program under Grant Agreement Number 619166.
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Banagaaya, N., Feng, L., Schoenmaker, W., Meuris, P., Gillon, R., Benner, P. (2018). Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs. In: Langer, U., Amrhein, W., Zulehner, W. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-75538-0_18
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