Application of Graphics Processing Units to Accelerate Real‐Space Density Functional Theory and Time‐Dependent Density Functional Theory Calculations

Andrade, Xavier; Aspuru‐Guzik, Alán

doi:10.1002/9781118670712.ch10

Cited by 3 publications

(2 citation statements)

References 129 publications

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“…The feasibility of GPU-accelerated electronic structure calculations was demonstrated in works by Ufimtsev and Martínez [40,41,42,43] which would form the basis for the TeraChem electronic structure package [44], as well as by Yasuda using the Gaussian package [45,46]. Since then, a number of electronic structure packages have incorporated GPU acceleration, including ABINIT [47], ADF [48], BigDFT [49,50], CP2K [51], GPAW [52,53,54], LS3DF [55], octopus [56,57,58], ONETEP [59], PEtot (now PWmat) [60,61,62,63], Q-Chem [64,65,15], Quantum ESPRESSO [66,67], RMG [68,69], VASP [70,71,72,73], and FHI-aims (this work). Development cost can be alleviated by using dropin GPU-accelerated libraries such as cuBLAS [74], cuFFT [75], Thrust [76], ELPA [77,78,79], and MAGMA [80,81,82]…”

Section: Introductionmentioning

confidence: 99%

GPU acceleration of all-electron electronic structure theory using localized numeric atom-centered basis functions

Huhn

Lange

et al. 2020

Computer Physics Communications

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We present an implementation of all-electron density-functional theory for massively parallel GPGPU-based platforms, using localized atom-centered basis functions and real-space integration grids. Special attention is paid to domain decomposition of the problem on non-uniform grids, which enables compute-and memory-parallel execution across thousands of nodes for realspace operations, e.g. the update of the electron density, the integration of the real-space Hamiltonian matrix, and calculation of Pulay forces. To assess the performance of our GPGPU implementation, we performed benchmarks on three different architectures using a 103-material test set. We find that operations which rely on dense serial linear algebra show dramatic speedups from GPGPU acceleration: in particular, SCF iterations including force and stress calculations exhibit speedups ranging from 4.5 to 6.6. For the architectures and problem types investigated here, this translates to an expected overall speedup between 3-4 for the entire calculation (including non-GPU accelerated parts), for problems featuring several tens to hundreds of atoms. Additional calculations for a 375-atom Bi 2 Se 3 bilayer show that the present GPGPU strategy scales for large-scale distributed-parallel simulations.

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Section: Introductionmentioning

confidence: 99%

GPU acceleration of all-electron electronic structure theory using localized numeric atom-centered basis functions

Huhn

Lange

et al. 2020

Computer Physics Communications

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show abstract

“…In the past years, GPGPU has been developed in both hardware and software, achieving a great success in various fields [21,22,23,24,25]. In this paper, we employ FEM to simulate 2-D forward models based on GPU.…”

Section: Introductionmentioning

confidence: 97%

2-D electromagnetic modelling by finite element method on GPU

Bai

et al. 2016

Optik

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A multi-GPU implementation of Real-Time Time-Dependent Auxiliary Density Functional Theory for the investigation of nanosystems irradiations

Martínez,

Vock,

Kharchi

et al. 2024

Computer Physics Communications

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Application of Graphics Processing Units to Accelerate Real‐Space Density Functional Theory and Time‐Dependent Density Functional Theory Calculations

Cited by 3 publications

References 129 publications

GPU acceleration of all-electron electronic structure theory using localized numeric atom-centered basis functions

GPU acceleration of all-electron electronic structure theory using localized numeric atom-centered basis functions

2-D electromagnetic modelling by finite element method on GPU

A multi-GPU implementation of Real-Time Time-Dependent Auxiliary Density Functional Theory for the investigation of nanosystems irradiations

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