A parallel deterministic solver for the Schrödinger–Poisson–Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo

Vecil, Francesco; Mantas, José M.; Cáceres, María J.; Sampedro, Carlos; Godoy, A.; Gámiz, F.

doi:10.1016/j.camwa.2014.02.021

Cited by 10 publications

(13 citation statements)

References 33 publications

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“…In this article, we focus on efficiently solving the adimensionalized Boltzmann-Schrö dinger-Poisson model. We address the reader to refer the work of Vecil et al (2014) for the mathematical model written with physical units and all the adimensionalization parameters.…”

Section: Summary Of the Mathematical Model And The Numerical Scheme 2mentioning

confidence: 99%

“…From now on, every magnitude will be meant dimensionless. Moreover, some other constants resulting from the rescaling process will be omitted for the sake of clarity and lighter equations and can be found in the work of Vecil et al (2014).…”

Section: Summary Of the Mathematical Model And The Numerical Scheme 2mentioning

confidence: 99%

“…Finally, the Poisson equation for the electrostatic field couples the classical and the quantum dimensions. In this way, we obtain a fully deterministic solver for the Boltzmann-Schrö dinger-Poisson system of equations which exhibits several important advantages in comparison with Monte Carlo solvers (Mantas and Cáceres, 2009;Vecil et al, 2014). We address the reader to the germ works (Ben Abdallah et al, 2009;Vecil et al, 2014) for a sound description of the model and the methods.…”

Section: Introductionmentioning

confidence: 99%

“…A sequential implementation of this solver is not practical for realistic simulations because the numerical methods which take part are too time-consuming. In the work of Vecil et al (2014), a parallel implementation of the solver based on the message passing interface was described and its performance was studied on a computer cluster.…”

Section: Introductionmentioning

confidence: 99%

“…The goal of the present work is the development of an efficient implementation strategy for the Boltzmann-Schrödinger-Poisson solver in the work of Vecil et al (2014) which exploits a heterogeneous parallel environment with several shared-memory multicore CPUs and one GPU. We make joint use of OpenMP (Chapman et al, 2008) and CUDA technologies to reduce considerably the simulation times.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid OpenMP-CUDA parallel implementation of a deterministic solver for ultrashort DG-MOSFETs

Mantas

Vecil

2019

The International Journal of High Performance Computing Applica

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The simulation of ultrashort two-dimensional double gate metal-oxide semiconductor field-effect transistors and similar semiconductor devices through a deterministic mesoscopic, hence accurate, model can be very useful for the industry: It can provide reference results for macroscopic solvers and properly describe weakly charged zones of the device. For the scope of this work, we use a Boltzmann–Schrödinger–Poisson model. Its drawback is being particularly costly from the computational point of view, and a purely sequential code may take weeks to simulate high voltages. In this article, we develop a hybrid parallel solver for a graphics processing unit (GPU)-based platform. In order to accelerate the simulations, the Boltzmann transport equations are solved on GPU using the CUDA programing model, while the Schrödinger–Poisson block is performed on multicore CPUs using OpenMP. We have adapted the costliest computing phases to the GPU in an efficient manner, achieving high performance and drastically reducing the simulation time. We give details about the parallel-design strategy and show the performance results.

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Section: Summary Of the Mathematical Model And The Numerical Scheme 2mentioning

confidence: 99%

Section: Summary Of the Mathematical Model And The Numerical Scheme 2mentioning

confidence: 99%