New Book on Nanoeletronic Coupled Problems Solutions

The EU-funded research project fp7-nanoCOPS (Nanoeletronic Coupled Problems Solutions, 2013-2016) published an overview of outcomes in October 2019. The book has been published by Springer in the Series with ECMI, Mathematics in Industry.

Involved partners from academia were:
Bergische Universität Wuppertal, Technische Universität Darmstadt, Humboldt Universität zu Berlin, Universität Greifswald, Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg (all from Germany), Brno University of Technology (Czech Republic) and Fachhochschule Oberösterreich (Hagenberg im Mühlkreis, Austria).

Partners from industry were:
ON Semiconductor (Oudenaarde, Belgium), ACCO Semiconductor (Louveciennes, France), NXP Semiconductors (Eindhoven, the Netherlands) and MAGWEL NV (Leuven, Belgium). Here the tool provider MAGWEL was the key interface between modelling, development, implementation and validation of algorithms and the industrial end-users.

NanoCOPS_Book_small_9783030307257The project did focus on developing algorithms for coupled problems, in which electromagnetics, electronic circuits and heat transfer were considered, with further steps to implications for mechanical stress. The algorithms did concentrate on efficient simulation in the time domain covering holistic / monolithic full system time integration and co-simulation both. Dedicated focus was on multirate time integration to deal with waveforms with strong differences of dynamical behaviour (e.g. due to different behaviour on different parts of the geometry, or due to being different physical quantities) or even having Fourier components with a large gap in frequencies (important for communication and mobility).

Uncertainty Quantification studied the effects due to parameter variations for robust optimization of designs of coupled problems as well as for topology optimization and shape optimization and yield estimation and to minimize the RF coupling from digital parts (aggressors) to analogue parts (victims). Estimation of failure probabilities was obtained using Large Deviation Theory and adjoint techniques. More general density estimation of parametrized waveforms was considered using techniques from calibration to determine industrially relevant quantities like capability index and by inverse modelling.

Efficient sparse Model Order Reduction for coupled problems made the simulation of large systems possible and thus enhanced uncertainty quantification by providing reduced models as response surface model. During the project here also post error control for the Krylov-based tensor methods was developed. Special electromagnetic-thermal modelling was made on bond wires that couple a chip to the surrounding package. This included a study on stresses to prevent damages. Uncertainty Quantification did cover the effects due to geometrical variations. Another topic was the study of ageing and reliability prediction, especially for bond wire ageing.

In all modelling, simulation and validation a unique opportunity for mathematicians
was given by the excellent expertise in measurements by the industrial partners and the Brno University of Technology.

The book concludes with extensive chapters on test cases for Power-MOS Devices and RF-circuitry, on Measurements, on Validation and on methodology and best-practices for optimized driver design.

At the website an overview of publications can be found. Several videos provide highlights in a different manner.

E.J.W. ter Maten, H.-G. Brachtendorf, R. Pulch, W. Schoenmaker, H. De Gersem (Eds.):
Nanoelectronic Coupled Problems Solutions.
Springer International Publishing, Series Mathematics in Industry Vol. 29, 2019.

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