Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions

✍ Scribed by Prof. Duc Thai Nguyen (auth.)

• Publisher: Springer US
• Year: 2006
• Tongue: English
• Leaves: 544
• Edition: 1
• Category: Library

✦ Synopsis

FEM, and the associated computer software are widely recognized as some of the most effective tools for solutions of large-scale engineering applications. Efficient equation and eigen-solvers play critical roles in solving these problems. Sparse matrix technologies have evolved and are now mature enough that all popular and commercialized FEM codes have inserted sparse solvers into their software. So far, however, few books include detailed discussion and explanation of sparse equation-solvers and Lanczos domain decomposition (DD) or finite element formulation for parallel computing purposes. The material in Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions has evolved over the past several years from the author's research work and his graduate courses. This book is ideal for graduate students, practicing engineers and researchers, as well as mathematicians and computer scientists.

Dr. Duc T. Nguyen is the founding Director of the Institute for Multidisciplinary Parallel-Vector Computation and Professor of Civil and Environmental Engineering at Old Dominion University. Dr. Nguyen has been listed as an ISI Highly Cited Researcher™ in the field of engineering.

✦ Table of Contents

A Review of Basic Finite Element Procedures....Pages 1-62
Simple MPI/FORTRAN Applications....Pages 63-103
Direct Sparse Equation Solvers....Pages 105-182
Sparse Assembly Process....Pages 183-267
Generalized Eigen-Solvers....Pages 269-378
Finite Element Domain Decomposition Procedures....Pages 379-513

✦ Subjects

Numerical and Computational Methods in Engineering;Numerical and Computational Methods;Processor Architectures;Computational Mathematics and Numerical Analysis;Special Purpose and Application-Based Systems;Theoretical and Applied Me