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Finite element methodsparallel-sparse statics and Eigen-solutions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite element methodsby Duc Thai Nguyen.
Reminder of title:	parallel-sparse statics and Eigen-solutions /
Author:	Nguyen, Duc Thai.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xix, 808 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-3-031-48788-0
ISBN:	9783031487880$q(electronic bk.)

Finite element methodsparallel-sparse statics and Eigen-solutions /
Nguyen, Duc Thai.

Finite element methodsparallel-sparse statics and Eigen-solutions /[electronic resource] :by Duc Thai Nguyen. - Second edition. - Cham :Springer Nature Switzerland :2024. - xix, 808 p. :ill. (some col.), digital ;24 cm.

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.

ISBN: 9783031487880$q(electronic bk.)

Standard No.: 10.1007/978-3-031-48788-0doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Finite element methodsparallel-sparse statics and Eigen-solutions /
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