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Eigensolution of finite element problems in a completely connected parallel architectureA parallel algorithm for the solution of the generalized eigenproblem in linear elastic finite element analysis, (K)(phi)=(M)(phi)(omega), where (K) and (M) are of order N, and (omega) is of order q is presented. The parallel algorithm is based on a completely connected parallel architecture in which each processor is allowed to communicate with all other processors. The algorithm has been successfully implemented on a tightly coupled multiple-instruction-multiple-data (MIMD) parallel processing computer, Cray X-MP. A finite element model is divided into m domains each of which is assumed to process n elements. Each domain is then assigned to a processor, or to a logical processor (task) if the number of domains exceeds the number of physical processors. The macro-tasking library routines are used in mapping each domain to a user task. Computational speed-up and efficiency are used to determine the effectiveness of the algorithm. The effect of the number of domains, the number of degrees-of-freedom located along the global fronts and the dimension of the subspace on the performance of the algorithm are investigated. For a 64-element rectangular plate, speed-ups of 1.86, 3.13, 3.18 and 3.61 are achieved on two, four, six and eight processors, respectively.
Document ID
19900007857
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Akl, Fred A. (Ohio Univ. Athens., United States)
Morel, Michael R. (Ohio Univ. Athens., United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1989
Subject Category
Structural Mechanics
Report/Patent Number
AIAA PAPER 89-1395
NAS 1.15:102450
E-5235
NASA-TM-102450
ICOMP-89-31
Meeting Information
Meeting: Structures,Structural Dynamics, and Materials Conference
Location: Mobile, AL
Country: United States
Start Date: April 3, 1989
End Date: April 5, 1989
Sponsors: ACS, ASCE, AIAA, AHS, ASME
Accession Number
90N17173
Funding Number(s)
CONTRACT_GRANT: NASA ORDER C-99066-G
PROJECT: RTOP 505-62-21
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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