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Parallel-Vector Equation Solvers for Finite Element Engineering Applications

  • Book
  • © 2002

Overview

Authors:
  1. Duc Thai Nguyen

    1. Old Dominion University, Norfolk, USA

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Introduction

    • Duc Thai Nguyen
    Pages 1-11

  3. Storage Schemes for the Coefficient Stiffness Matrix

    • Due Thai Nguyen
    Pages 13-26

  4. Parallel Algorithms for Generation and Assembly of Finite Element Matrices

    • Due Thai Nguyen
    Pages 27-50

  5. Parallel-Vector Skyline Equation Solver on Shared Memory Computers

    • Due Thai Nguyen
    Pages 51-89

  6. Parallel — Vector Variable Bandwidth Equation Solver on Shared Memory Computers

    • Due Thai Nguyen
    Pages 91-140

  7. Parallel-Vector Variable Bandwidth Out-of-Core Equation Solver

    • Due Thai Nguyen
    Pages 141-164

  8. A Parallel-Vector Skyline Equation Solver for Distributed-Memory Computers

    • Due Thai Nguyen
    Pages 165-189

  9. Parallel-Vector Unsymmetrical Equation Solver

    • Due Thai Nguyen
    Pages 191-216

  10. A Tridiagonal Solver for Massively Parallel Computers

    • Due Thai Nguyen
    Pages 217-246

  11. Sparse Equation Solver with Unrolling Strategies

    • Due Thai Nguyen
    Pages 247-310

  12. Algorithms for Sparse-Symmetrical-Indefinite and Sparse-Unsymmetrical System of Equations

    • Due Thai Nguyen
    Pages 311-339

  13. Back Matter

    Pages 341-344
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Keywords

About this book

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 graduate engineering research. Parallel-Vector Equation Solvers for Finite Element Engineering Applications aims to fill this gap, detailing both the theoretical development and important implementations of equation-solution algorithms. The mathematical background necessary to understand their inception balances well with descriptions of their practical uses. Illustrated with a number of state-of-the-art FORTRAN codes developed as examples for the book, Dr. Nguyen's text is a perfect choice for instructors and researchers alike.

Authors and Affiliations

  • Old Dominion University, Norfolk, USA

    Duc Thai Nguyen

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