Overview
- Greatly expands chapters 2 and 6, added appendices and adds three new chapters, 7, 8, and 9
- Introduces several additional/important research topics for “broad (engineering & science)” applications
- Explains FETI-DP methods, SVD (with examples) and useful tutorial materials for improving MATLAB programming skills
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About this book
This new edition includes three new chapters, 7 through 9, that have very broad, practical applications in engineering and science. In addition, the author’s latest research results incorporated into the new textbook demonstrates better performance than the popular METIS software for partitioning graphs, partitioning finite element meshes, and producing fill-reducing orderings for sparse matrices. The new Chapter 8, and its pre-requisite, Chapter 7, present a state-of-the-art algorithm for computing the shortest paths for real-life (large-scale) transportation networks with minimum computational time. This approach has not yet appeared in any existing textbooks and it could open the doors for other transportation engineering applications. Chapter 9 vastly expands the scope of the previous edition by including sensitivity (gradient) computation and MATLAB’s built-in function “fmincon” for obtaining the optimum (or best) solution for general engineering problems.
Keywords
Table of contents (9 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Dr. Duc Thai Nguyen is a Structural Engineering Professor in the Department of Civil and Environmental Engineering, Old Dominion University, Norfolk, VA
Bibliographic Information
Book Title: Finite Element Methods
Book Subtitle: Parallel-Sparse Statics and Eigen-Solutions
Authors: Duc Thai Nguyen
DOI: https://doi.org/10.1007/978-3-031-48788-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-48787-3Published: 26 April 2024
Softcover ISBN: 978-3-031-48790-3Due: 27 May 2024
eBook ISBN: 978-3-031-48788-0Published: 25 April 2024
Edition Number: 2
Number of Pages: XIX, 808
Number of Illustrations: 106 b/w illustrations, 69 illustrations in colour
Topics: Mathematical and Computational Engineering, Applications of Mathematics, Computational Intelligence, Theoretical, Mathematical and Computational Physics, Processor Architectures, Computational Mathematics and Numerical Analysis