Ebook: Parallel-Vector Equation Solvers for Finite Element Engineering Applications

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 FiniteElement 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.

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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 FiniteElement 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.

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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 FiniteElement 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.
Content:
Front Matter....Pages i-xxi
Introduction....Pages 1-11
Storage Schemes for the Coefficient Stiffness Matrix....Pages 13-26
Parallel Algorithms for Generation and Assembly of Finite Element Matrices....Pages 27-50
Parallel-Vector Skyline Equation Solver on Shared Memory Computers....Pages 51-89
Parallel — Vector Variable Bandwidth Equation Solver on Shared Memory Computers....Pages 91-140
Parallel-Vector Variable Bandwidth Out-of-Core Equation Solver....Pages 141-164
A Parallel-Vector Skyline Equation Solver for Distributed-Memory Computers....Pages 165-189
Parallel-Vector Unsymmetrical Equation Solver....Pages 191-216
A Tridiagonal Solver for Massively Parallel Computers....Pages 217-246
Sparse Equation Solver with Unrolling Strategies....Pages 247-310
Algorithms for Sparse-Symmetrical-Indefinite and Sparse-Unsymmetrical System of Equations....Pages 311-339
Back Matter....Pages 341-344