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DTSTAMP:20181221T160731Z
LOCATION:C140/142
DTSTART;TZID=America/Chicago:20181115T160000
DTEND;TZID=America/Chicago:20181115T163000
UID:submissions.supercomputing.org_SC18_sess219_pap294@linklings.com
SUMMARY:Computing Planetary Interior Normal Modes with a Highly Parallel P
olynomial Filtering Eigensolver
DESCRIPTION:Paper\nAlgorithms, Applications, Computational Physics, Scient
ific Computing, Tech Program Reg Pass\n\nComputing Planetary Interior Norm
al Modes with a Highly Parallel Polynomial Filtering Eigensolver\n\nShi, L
i, Xi, Saad, de Hoop\n\nA highly parallel algorithm has been developed and
exploited to compute the planetary normal modes of the elastic-gravitatio
nal system, which is approximated via the mixed finite element method on u
nstructured tetrahedral meshes. The eigenmodes of the relevant generalized
eigenvalue problem were extracted by a Lanczos approach combined with pol
ynomial filtering. In contrast with the standard shift-and-invert and the
full-mode coupling algorithms, the polynomial filtering technique is ideal
ly suited for solving large-scale 3-D interior eigenvalue problems since i
t significantly enhances the memory and computational efficiency without l
oss of accuracy. The parallel efficiency and scalability of this approach
are demonstrated on Stampede2 at the Texas Advanced Computing Center. To
our knowledge, this is the first time that the direct calculation of the n
ormal modes of 3-D strongly heterogeneous planets, in particular, Earth an
d Mars, is made feasible via a combination of multiple matrix-free methods
and a separation of the essential spectra.
URL:https://sc18.supercomputing.org/presentation/?id=pap294&sess=sess219
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