Optimisation of linear systems for 3D parallel simulation of semiconductor devices: application to statistical studies

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John Wiley & Sons
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Abstract

The 3D simulators are nowadays essential in semiconductor device modelling in order to study fluctuation effects when devices are scaled to gate lengths approaching nanometre dimensions. To take into account these effects it is necessary to perform statistical studies, which have a high computational cost. The resolution of the linear systems generated by the discretization of partial differential equations is the most time-consuming part of the simulation process. In this paper we propose an optimization of the linear system solution procedure based on domain decomposition methods implemented in a 3D parallel drift–diffusion device simulator. We have also carried out an analysis of the parallel performance of the device simulator. Numerical results show superlinear efficiency values up to 62 processors in the solution of the Poisson equation. The results were obtained on a Cluster HP Integrity Superdome.

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This is the peer reviewed version of the following article: [Seoane, N., García-Loureiro, A. and Aldegunde, M. (2009), Optimization of linear systems for 3D parallel simulation of semiconductor devices: Application to statistical studies. Int. J. Numer. Model., 22: 235-258], which has been published in final form at https://doi.org/10.1002/jnm.695. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.

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Seoane, N., García-Loureiro, A. and Aldegunde, M. (2009), Optimization of linear systems for 3D parallel simulation of semiconductor devices: Application to statistical studies. Int. J. Numer. Model., 22: 235-258. https://doi.org/10.1002/jnm.695

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This work was supported by the Spanish Government (CICYT); contract/grant number: TIN2004-07797-C02

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