TY  - BOOK
AU  - Nguyen,Duc Thai
ED  - SpringerLink (Online service)
TI  - Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions 
SN  - 9783031487880
AV  - TA329-348 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Engineering mathematics
KW  - Engineering
KW  - Data processing
KW  - Mathematics
KW  - Computational intelligence
KW  - Mathematical physics
KW  - Microprocessors
KW  - Computer architecture
KW  - Mathematical and Computational Engineering Applications
KW  - Applications of Mathematics
KW  - Computational Intelligence
KW  - Theoretical, Mathematical and Computational Physics
KW  - Processor Architectures
KW  - Computational Mathematics and Numerical Analysis
N1  - 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
N2  - 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 (in Domain Partitioning algorithms) incorporated into the new textbook (Chapter 7) demonstrates better performance than the popular METIS software for partitioning graphs, partitioning finite element meshes, and producing less non-zero fill-in terms for sparse factorization. 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. 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
UR  - https://doi.org/10.1007/978-3-031-48788-0
ER  -