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

by Duc Thai Nguyen

Overview

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.

Product Details

ISBN-13:	9781441939852
Publisher:	Springer US
Publication date:	10/29/2010
Edition description:	2006
Pages:	534
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

A Review of Basic Finite Element Procedures.- Simple MPI/FORTRAN Applications.- Direct Sparse Equation Solvers.- Sparse Assembly Process.- Generalized Eigen-Solvers.- Finite Element Domain Decomposition Procedures.