Parallel-Vector Equation Solvers for Finite Element Engineering Applications - Duc Thai Nguyen

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Résumé :
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.

Sommaire:
Preface. Acknowledgments. Disclaimer of Warranty. 1. Introduction. 2. Storage Schemes for the Coefficient Stiffness Matrix. 3. Parallel Algorithms for Genreation and Assembly of Finite Element Matrices. 4. Parallel-Vector Skyline Equation Solver on Shared memory Computers. 5. Parallel-Vector Variable Bandwidth Equation Solver on Shared Memory Computers. 6. Parallel-Vector Variable Bandwidth Out-of-Core Equation Solver. 7. Parallel-Vector Skyline Equation Solver for Distributed Memory Computers. 8. Parallel-Vector Unsymmetrical Equation Solver. 9. A Tridiagonal Solver for Massively Parallel Computers. 10. Sparse Equation Solver with Unrolling Strategies. 11. Algorithms for Sparse-Symmetrical-Indefinite and Sparse-Unsymmetrical System of Equations. Index.