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@INPROCEEDINGS{Baumeister:867835,
author = {Baumeister, Paul F. and Tsukamoto, Shigeru},
title = {{A}nalytical {PAW} {P}rojector {F}unctions for {R}educed
{B}andwidth {R}equirements},
school = {ETH Zurich},
reportid = {FZJ-2019-06437},
year = {2019},
abstract = {Large scale electronic structure calculations require
modern high performance computing (HPC) resources and, as
important, mature HPC applications that can make efficient
use of those. Real-space grid-based applications of Density
Functional Theory (DFT) using the Projector Augmented Wave
method (PAW) can give the same accuracy as DFT codes relying
on a plane wave basis set but exhibit an improved
scalability on distributed memory machines. The projection
operations of the PAW Hamiltonian are known to be the
performance critical part due to their limitation by the
available memory bandwidth. We investigate on the utility of
a 3D factorizable basis of Hermite functions for the
localized PAW projector functions which allows to reduce the
bandwidth requirements for the grid representation of the
projector functions in projection operations. Additional
on-the-fly sampling of the 1D basis functions eliminates the
memory transfer almost entirely. For an quantitative
assessment of the expected memory bandwidth savings we show
performance results of a first implementation on GPUs.
Finally, we suggest a PAW generation scheme adjusted to the
analytically given projector functions.},
month = {Jun},
date = {2019-06-12},
organization = {Platform for Advanced Scientific
Computing Conference, Zurich
(Switzerland), 12 Jun 2019 - 14 Jun
2019},
subtyp = {After Call},
cin = {JSC / IAS-1 / PGI-1 / JARA-FIT / JARA-HPC},
cid = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)IAS-1-20090406 /
I:(DE-Juel1)PGI-1-20110106 / $I:(DE-82)080009_20140620$ /
$I:(DE-82)080012_20140620$},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511) / 142 - Controlling Spin-Based Phenomena
(POF3-142) / 143 - Controlling Configuration-Based Phenomena
(POF3-143)},
pid = {G:(DE-HGF)POF3-511 / G:(DE-HGF)POF3-142 /
G:(DE-HGF)POF3-143},
typ = {PUB:(DE-HGF)6},
url = {https://juser.fz-juelich.de/record/867835},
}