Finite-element methods: parallel-sparse statics and Eigen-solutions

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Springer, 2006 - Computers - 533 pages

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.

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Contents

A Review of Basic Finite Element Procedures
1
Simple MPIFORTRAN Applications
63
Direct Sparse Equation Solvers
105
Copyright

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