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1.9.9 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
2.4.2 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
2.17.2 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
3.5.2 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
3.7.10 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)"--