LEADER 05383nam 2200757 450 001 9910139022603321 005 20200520144314.0 010 $a1-5231-3067-9 010 $a1-118-53592-8 010 $a1-118-53591-X 010 $a1-119-18923-3 010 $a1-118-53593-6 035 $a(CKB)2550000001114519 035 $a(EBL)1368909 035 $a(SSID)ssj0000981911 035 $a(PQKBManifestationID)11576596 035 $a(PQKBTitleCode)TC0000981911 035 $a(PQKBWorkID)10982942 035 $a(PQKB)11446989 035 $a(DLC) 2013028597 035 $a(Au-PeEL)EBL1368909 035 $a(CaPaEBR)ebr10756551 035 $a(CaONFJC)MIL514371 035 $a(Au-PeEL)EBL7147478 035 $a(MiAaPQ)EBC1368909 035 $a(OCoLC)853114018 035 $a(EXLCZ)992550000001114519 100 $a20130626d2014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProgramming the finite element method 205 $aFifth edition /$bI.M. Smith, D.V. Griffiths, L. Margetts. 210 1$aChichester, West Sussex, United Kingdom :$cJohn Wiley & Sons Inc.,$d2014. 215 $a1 online resource (684 p.) 300 $aDescription based upon print version of record. 311 $a1-119-97334-1 311 $a1-299-83120-6 320 $aIncludes bibliographical references and indexes. 327 $aCover; Title Page; Copyright; Contents; Preface to Fifth Edition; Acknowledgements; Chapter 1 Preliminaries: Computer Strategies; 1.1 Introduction; 1.2 Hardware; 1.3 Memory Management; 1.4 Vector Processors; 1.5 Multi-core Processors; 1.6 Co-processors; 1.7 Parallel Processors; 1.8 Applications Software; 1.8.1 Compilers; 1.8.2 Arithmetic; 1.8.3 Conditions; 1.8.4 Loops; 1.9 Array Features; 1.9.1 Dynamic Arrays; 1.9.2 Broadcasting; 1.9.3 Constructors; 1.9.4 Vector Subscripts; 1.9.5 Array Sections; 1.9.6 Whole-array Manipulations; 1.9.7 Intrinsic Procedures for Arrays; 1.9.8 Modules 327 $a1.9.9 Subprogram Libraries1.9.10 Structured Programming; 1.10 Third-party Libraries; 1.10.1 BLAS Libraries; 1.10.2 Maths Libraries; 1.10.3 User Subroutines; 1.10.4 MPI Libraries; 1.11 Visualisation; 1.11.1 Starting ParaView; 1.11.2 Display Restrained Nodes; 1.11.3 Display Applied Loads; 1.11.4 Display Deformed Mesh; 1.12 Conclusions; References; Chapter 2 Spatial Discretisation by Finite Elements; 2.1 Introduction; 2.2 Rod Element; 2.2.1 Rod Stiffness Matrix; 2.2.2 Rod Mass Element; 2.3 The Eigenvalue Equation; 2.4 Beam Element; 2.4.1 Beam Element Stiffness Matrix 327 $a2.4.2 Beam Element Mass Matrix2.5 Beam with an Axial Force; 2.6 Beam on an Elastic Foundation; 2.7 General Remarks on the Discretisation Process; 2.8 Alternative Derivation of Element Stiffness; 2.9 Two-dimensional Elements: Plane Stress; 2.10 Energy Approach and Plane Strain; 2.10.1 Thermoelasticity; 2.11 Plane Element Mass Matrix; 2.12 Axisymmetric Stress and Strain; 2.13 Three-dimensional Stress and Strain; 2.14 Plate Bending Element; 2.15 Summary of Element Equations for Solids; 2.16 Flow of Fluids: Navier-Stokes Equations; 2.17 Simplified Flow Equations; 2.17.1 Steady State 327 $a2.17.2 Transient State2.17.3 Convection; 2.18 Further Coupled Equations: Biot Consolidation; 2.19 Conclusions; References; Chapter 3 Programming Finite Element Computations; 3.1 Introduction; 3.2 Local Coordinates for Quadrilateral Elements; 3.2.1 Numerical Integration for Quadrilaterals; 3.2.2 Analytical Integration for Quadrilaterals; 3.3 Local Coordinates for Triangular Elements; 3.3.1 Numerical Integration for Triangles; 3.3.2 Analytical Integration for Triangles; 3.4 Multi-Element Assemblies; 3.5 'Element-by-Element' Techniques; 3.5.1 Conjugate Gradient Method for Linear Equation Systems 327 $a3.5.2 Preconditioning3.5.3 Unsymmetric Systems; 3.5.4 Symmetric Non-Positive Definite Equations; 3.5.5 Eigenvalue Systems; 3.6 Incorporation of Boundary Conditions; 3.6.1 Convection Boundary Conditions; 3.7 Programming using Building Blocks; 3.7.1 Black Box Routines; 3.7.2 Special Purpose Routines; 3.7.3 Plane Elastic Analysis using Quadrilateral Elements; 3.7.4 Plane Elastic Analysis using Triangular Elements; 3.7.5 Axisymmetric Strain of Elastic Solids; 3.7.6 Plane Steady Laminar Fluid Flow; 3.7.7 Mass Matrix Formation; 3.7.8 Higher-Order 2D Elements; 3.7.9 Three-Dimensional Elements 327 $a3.7.10 Assembly of Elements 330 $a"Provides an updated version of Fortran 2003 (all the Fortran programs and subroutines are listed in full in the text but will also be made available online)"--$cProvided by publisher. 606 $aFinite element method$xData processing 606 $aEngineering$xData processing 606 $aFORTRAN 2003 (Computer program language) 615 0$aFinite element method$xData processing. 615 0$aEngineering$xData processing. 615 0$aFORTRAN 2003 (Computer program language) 676 $a620.001/51825 686 $aTEC006000$2bisacsh 700 $aSmith$b I. M$g(Ian Moffat),$f1940-$030402 701 $aGriffiths$b D. V$030403 701 $aMargetts$b Lee$0977440 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139022603321 996 $aProgramming the finite element method$92226762 997 $aUNINA