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DTSTART:19700308T020000
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DTSTAMP:20260522T150120Z
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:Jia Shi (Rice University), Ruipeng Li (Lawrence Livermore Nati
 onal Laboratory), Yuanzhe Xi and Yousef Saad (University of Minnesota), an
 d Maarten V. de Hoop (Rice University)\n\nA highly parallel algorithm has 
 been developed and exploited to compute the planetary normal modes of the 
 elastic-gravitational system, which is approximated via the mixed finite e
 lement method on unstructured tetrahedral meshes. The eigenmodes of the re
 levant generalized eigenvalue problem were extracted by a Lanczos approach
  combined with polynomial filtering. In contrast with the standard shift-a
 nd-invert and the full-mode coupling algorithms, the polynomial filtering 
 technique is ideally suited for solving large-scale 3-D interior eigenvalu
 e problems since it significantly enhances the memory and computational ef
 ficiency without loss of accuracy.  The parallel efficiency and scalabilit
 y of this approach are demonstrated on Stampede2 at the Texas Advanced Com
 puting Center. To our knowledge, this is the first time that the direct ca
 lculation of the normal modes of 3-D strongly heterogeneous planets, in pa
 rticular, Earth and Mars, is made feasible via a combination of multiple m
 atrix-free methods and a separation of the essential spectra.\n\nTag: Algo
 rithms, Applications, Computational Physics, Scientific Computing\n\nRegis
 tration Category: Tech Program Reg Pass\n\nSession Chair: Kirk E. Jordan (
 IBM)\n\n
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