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Finite Element Methods:

Parallel-Sparse Statics and Eigen-Solutions

  • Textbook
  • © 2006

Overview

  • Features new and important methods
  • Includes state-of-the-art serial/parallel sparse numerical algorithms
  • Provides clear explanations & detailed descriptions of various solution algorithms, as well as actual source code
  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

Keywords

About this book

Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving large-scale, practical engineering and science applications.  For implicit finite element codes, it is a well-known fact that efficient equation and eigen-solvers play critical roles in solving large-scale, practical engineering/science problems.  Sparse matrix technologies have been evolved and become mature enough that all popular, commercialized FEM codes have already inserted sparse solvers into their software.  However, a few FEM books have detailed discussions about Lanczos eigen-solvers, or explain domain decomposition (DD) finite element formulation (including detailed hand-calculator numerical examples) for parallel computing purposes.  The materials from this book have been evolved over the past several years through the author's research work, and graduate courses.

Authors and Affiliations

  • Department of Civil & Environmental Engineering, Multidisc. Parallel-Vector Comp Ctr, Old Dominion University, Norfolk

    Duc Thai Nguyen

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