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Unconditionally stable concurrent procedures for transient finite-element analysis

Author:
Nour-Omid, Bahram
Published:
May 1, 1989.
Physical Description:
1 electronic document
Additional Creators:
Ortiz, Michael
Online Version

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Summary:
A family of algorithms was outlined which would appear to be particularly well-suited for implementation in a parallel environment. This is due to the fact that for any partition of the mesh each subdomain in the partition can be processed over a time step simultaneously and independently of the rest. The method eliminates the need for assembling and factorizing large global arrays while retaining the unconditional stability properties of the algorithms used at the local level. To critically appraise the proposed methodology, two limiting cases were considered: element-by-element mesh partitions, and coarse mesh partitions. It was concluded that while the proposed methodology can be useful in sequential machines, it would appear to be promising as it bears on computation. It should also be emphasized that extensions of the method to nonlinear problems are possible.
Other Subject(s):
Collection:
NASA Technical Reports Server (NTRS) Collection.
Note:
Document ID: 19890015286.
Accession ID: 89N24657.
NASA, Langley Research Center, Computational Methods for Structural Mechanics and Dynamics; p 369-381.
Terms of Use and Reproduction:
No Copyright.
View MARC record | catkey: 15690225