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Runtime optimization of a memory efficient CG solver for FFT-based homogenization: Implementation details and scaling results for linear elasticity

: Grimm-Strele, H.; Kabel, M.

Fulltext ()

Computational mechanics 64 (2019), No.5, pp.1339-1345
ISSN: 0178-7675
ISSN: 1432-0924
Journal Article, Electronic Publication
Fraunhofer ITWM ()

The memory efficient CG algorithm of Kabel et al. (Comput Mech 54(6):1497–1514, 2014) reduces the memory requirements of a strain based implementation of the CG algorithm following Zeman et al. (J Comput Phys 229(21):8065–8071, 2010) for solving the equations of linear elasticity by 40%. But since the Fourier wave vectors have to be recalculated at several steps of the memory efficient algorithm, the runtime increases for a straightforward implementation.. We explain how to reduce the runtime overhead to a negligible size, and show that the memory efficient algorithm scales better than the standard algorithm with up to 256 MPI processes.