05383nam 2200757 450 991013902260332120200520144314.01-5231-3067-91-118-53592-81-118-53591-X1-119-18923-31-118-53593-6(CKB)2550000001114519(EBL)1368909(SSID)ssj0000981911(PQKBManifestationID)11576596(PQKBTitleCode)TC0000981911(PQKBWorkID)10982942(PQKB)11446989(DLC) 2013028597(Au-PeEL)EBL1368909(CaPaEBR)ebr10756551(CaONFJC)MIL514371(Au-PeEL)EBL7147478(MiAaPQ)EBC1368909(OCoLC)853114018(EXLCZ)99255000000111451920130626d2014 uy| 0engur|n|---|||||txtccrProgramming the finite element methodFifth edition /I.M. Smith, D.V. Griffiths, L. Margetts.Chichester, West Sussex, United Kingdom :John Wiley & Sons Inc.,2014.1 online resource (684 p.)Description based upon print version of record.1-119-97334-1 1-299-83120-6 Includes bibliographical references and indexes.Cover; 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 Modules1.9.9 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 Matrix2.4.2 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 State2.17.2 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 Systems3.5.2 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 Elements3.7.10 Assembly of Elements"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)"--Provided by publisher.Finite element methodData processingEngineeringData processingFORTRAN 2003 (Computer program language)Finite element methodData processing.EngineeringData processing.FORTRAN 2003 (Computer program language)620.001/51825TEC006000bisacshSmith I. M(Ian Moffat),1940-30402Griffiths D. V30403Margetts Lee977440MiAaPQMiAaPQMiAaPQBOOK9910139022603321Programming the finite element method2226762UNINA