03702nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001600186072001600202072002300218072001500241100008600256245012000342250001800462264006900480300006600549336002600615337002600641338003600667347002400703505022400727520136500951650003602316650003402352650002402386650003902410650002602449650002802475650002702503650004102530650006102571650004002632650003902672650006402711650002902775650006102804710003402865773002602899776003602925776003602961776003602997856004603033912001403079912001403093999001703107978-3-031-48788-0DE-He21320251030112010.0cr nn 008mamaa240425s2024    sz |    s    |||| 0|eng d  a97830314878809978-3-031-48788-07 a10.1007/978-3-031-48788-02doi 4aTA329-348 4aTA345-345.5 7aTBJ2bicssc 7aTEC0090002bisacsh 7aTBJ2thema1 aNguyen, Duc Thai.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97574210aFinite Element Methodsh[electronic resource] :bParallel-Sparse Statics and Eigen-Solutions /cby Duc Thai Nguyen.  a2nd ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIX, 808 p. 175 illus., 69 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aA 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.  aThis 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. 0aEngineering mathematics.964145 0aEngineeringxData processing. 0aMathematics.965523 0aComputational intelligence.964052 0aMathematical physics. 0aMicroprocessors.959300 0aComputer architecture. 0aMathematicsxData processing.96571514aMathematical and Computational Engineering Applications.24aApplications of Mathematics.96552924aComputational Intelligence.96405224aTheoretical, Mathematical and Computational Physics.96556324aProcessor Architectures.24aComputational Mathematics and Numerical Analysis.9660732 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303148787308iPrinted edition:z978303148789708iPrinted edition:z978303148790340uhttps://doi.org/10.1007/978-3-031-48788-0  aZDB-2-ENG  aZDB-2-SXE  c59372d59372