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Scalable substructuring methods for ...
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Chen, Po-Shu.
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Scalable substructuring methods for high performance structural analysis.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Scalable substructuring methods for high performance structural analysis./
作者:
Chen, Po-Shu.
面頁冊數:
142 p.
附註:
Source: Dissertation Abstracts International, Volume: 58-03, Section: B, page: 1381.
Contained By:
Dissertation Abstracts International58-03B.
標題:
Applied Mechanics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9725714
ISBN:
9780591348071
Scalable substructuring methods for high performance structural analysis.
Chen, Po-Shu.
Scalable substructuring methods for high performance structural analysis.
- 142 p.
Source: Dissertation Abstracts International, Volume: 58-03, Section: B, page: 1381.
Thesis (Ph.D.)--University of Colorado at Boulder, 1997.
The purpose of this research is to develop a fast and efficient parallel solver for large-scale, symmetric, positive semi-definite systems of equations that arise from finite element structural applications. Emphasis is on numerical and parallel scalability, with respect to the problem and machine size. The thesis begins by motivating the need for a robust, parallel iterative solver, highlighting the potential of substructuring for achieving this goal and justifying the selection of the FETI method, which Farhat and Roux originally developed as a basis for this research work. The remainder of the thesis defines and concerns the specific extensions of the FETI method.
ISBN: 9780591348071Subjects--Topical Terms:
1018410
Applied Mechanics.
Scalable substructuring methods for high performance structural analysis.
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The purpose of this research is to develop a fast and efficient parallel solver for large-scale, symmetric, positive semi-definite systems of equations that arise from finite element structural applications. Emphasis is on numerical and parallel scalability, with respect to the problem and machine size. The thesis begins by motivating the need for a robust, parallel iterative solver, highlighting the potential of substructuring for achieving this goal and justifying the selection of the FETI method, which Farhat and Roux originally developed as a basis for this research work. The remainder of the thesis defines and concerns the specific extensions of the FETI method.
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The FETI method is a Lagrange multiplier-based domain decomposition method for the parallel, iterative solution of self-adjoint, elliptic, partial differential equations semi-discretized by the finite element method. Its original version is mathematically optimal for second-order elasticity problems. The purpose of this thesis is to develop mathematically optimal extensions to elastodynamics problems, fourth-order plate and shell problems and problems with multiple right-hand sides, because these are the most frequent problems in aerospace structural engineering. Several static and transient structural analyses of realistic aerospace systems validate these extensions and illustrate their superior performance. These realistic aerospace systems run on several parallel computers, including the Paragon X/PS and IBM SP/2 parallel processors.
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