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Parallel-vector equation solvers for finite element engineering applications

Author: Duc T Nguyen
Publisher: New York : Kluwer Academic / Plenum Publishers, ©2002.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Duc T Nguyen
ISBN: 0306466406 9780306466403
OCLC Number: 47237203
Description: xix, 344 pages : illustrations ; 26 cm
Contents: Parallel Computers --
Measurements for Algorithms' Performance --
Vector Computers --
Storage Schemes for the Coefficient Stiffness Matrix --
Full Matrix --
Symmetrical Matrix --
Banded Matrix --
Variable Banded Matrix --
Skyline Matrix --
Sparse Matrix --
Detailed Procedures For Determining The Mapping Between 2-D Array and 1-D Array in Skyline Storage Scheme --
Determination of the Column Height (ICOLH) of a Finite Element Model --
Computer Implementation For Determining Column Heights --
Parallel Algorithms for Generation and Assembly of Finite Element Matrices --
Conventional Algorithm to Generate and Assemble Element Matrices --
Node-by-Node Parallel Generation and Assembly Algorithms --
Additional Comments on Baddourah-Nguyen's (Node-by-Node) Parallel Generation and Assembly (GandA) Algorithm --
Application of Baddourah-Nguyen's Parallel GandA Algorithm --
Qin-Nguyen's GandA Algorithm --
Applications of Qin-Nguyen's Parallel GandA Algorithm --
Parallel-Vector Skyline Equation Solver on Shared Memory Computers --
Choleski-based Solution Strategies --
Factorization --
Basic sequential skyline Choleski factorization: computer code (version 1) --
Improved basic sequential skyline Choleski factorization: computer code (version 2) --
Parallel-vector Choleski factorization (version 3) --
Parallel-vector (with "few" synchronization checks) Choleski factorization (version 4) --
Parallel-vector enhancement (vector unrolling) Choleski factorization (version 5) --
Parallel-vector (unrolling) skyline Choleski factorization (version 6).
Responsibility: Duc Thai Nguyen.
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