03885nam a22006255i 4500 978-3-031-48788-0 DE-He213 20251030112010.0 cr nn 008mamaa 240425s2024 sz | s |||| 0|eng d 9783031487880 978-3-031-48788-0 10.1007/978-3-031-48788-0 doi TA329-348 TA345-345.5 TBJ bicssc TEC009000 bisacsh TBJ thema Nguyen, Duc Thai. author. aut http://id.loc.gov/vocabulary/relators/aut 75742 Finite Element Methods [electronic resource] : Parallel-Sparse Statics and Eigen-Solutions / by Duc Thai Nguyen. 2nd ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIX, 808 p. 175 illus., 69 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. 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. Engineering mathematics. 64145 Engineering Data processing. Mathematics. 65523 Computational intelligence. 64052 Mathematical physics. Microprocessors. 59300 Computer architecture. Mathematics Data processing. 65715 Mathematical and Computational Engineering Applications. Applications of Mathematics. 65529 Computational Intelligence. 64052 Theoretical, Mathematical and Computational Physics. 65563 Processor Architectures. Computational Mathematics and Numerical Analysis. 66073 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031487873 Printed edition: 9783031487897 Printed edition: 9783031487903 https://doi.org/10.1007/978-3-031-48788-0 ZDB-2-ENG ZDB-2-SXE 59372 59372