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Approaches computational engineering sciences from the perspective of engineering applications
Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences.
Key features: Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transport Takes a cross-discipline continuum mechanics viewpoint Includes Matlab toolbox and .m data…mehr
Approaches computational engineering sciences from the perspective of engineering applications
Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences.
Key features:
Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transport
Takes a cross-discipline continuum mechanics viewpoint
Includes Matlab toolbox and .m data files on a companion website, immediately enabling hands-on computing in all covered disciplines
Website also features eight topical lectures from the author's own academic courses
It provides a holistic view of the topic from covering the different engineering problems that can be solved using finite element to how each particular method can be implemented on a computer. Computational aspects of the method are provided on a companion website facilitating engineering implementation in an easy way.
Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences.
Key features:
Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transport
Takes a cross-discipline continuum mechanics viewpoint
Includes Matlab toolbox and .m data files on a companion website, immediately enabling hands-on computing in all covered disciplines
Website also features eight topical lectures from the author's own academic courses
It provides a holistic view of the topic from covering the different engineering problems that can be solved using finite element to how each particular method can be implemented on a computer. Computational aspects of the method are provided on a companion website facilitating engineering implementation in an easy way.
Produktdetails
- Produktdetails
- Verlag: Wiley & Sons
- 1. Auflage
- Seitenzahl: 288
- Erscheinungstermin: 1. Oktober 2012
- Englisch
- Abmessung: 251mm x 174mm x 20mm
- Gewicht: 596g
- ISBN-13: 9781119940500
- ISBN-10: 1119940508
- Artikelnr.: 35456354
- Verlag: Wiley & Sons
- 1. Auflage
- Seitenzahl: 288
- Erscheinungstermin: 1. Oktober 2012
- Englisch
- Abmessung: 251mm x 174mm x 20mm
- Gewicht: 596g
- ISBN-13: 9781119940500
- ISBN-10: 1119940508
- Artikelnr.: 35456354
A. J. Baker is Professor Emeritus, Engineering Science and Computational Engineering, The University of Tennessee, USA. He is an elected Fellow of the International Association for Computational Mechanics (IACM) and the US Association for Computational Mechanics (USACM) and an Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA).
Preface viii Notation xi 1 COMPUTATIONAL ENGINEERING SCIENCE 1 1.1
Engineering simulation 1 1.2 A problem solving environment 2 1.3 Problem
statements in engineering 4 1.4 Decisions on forming WS N 6 1.5 Discrete
approximate WS h implementation 8 1.6 Chapter summary 9 1.7 Chapter
references 10 2 PROBLEM STATEMENTS 11 2.1 Engineering simulation 11 2.2
Continuum mechanics viewpoint 12 2.3 Continuum conservation law forms 12
2.4 Constitutive closure for conservation law PDEs 14 2.5 Engineering
science continuum mechanics 18 2.6 Chapter references 20 3 SOME
INTRODUCTORY MATERIAL 21 3.1 Introduction 21 3.2 Multi-dimensional PDEs,
separation of variables 22 3.3 Theoretical foundations, GWS h 27 3.4 A
legacy FD construction 28 3.5 An FD approximate solution 30 3.6 Lagrange
interpolation polynomials 31 3.7 Chapter summary 32 3.8 Exercises 34 3.9
Chapter references 34 4 HEAT CONDUCTION35 4.1 A steady heat conduction
example 35 4.2 Weak form approximation, error minimization 37 4.3 GWS N
discrete implementation, FE basis38 4.4 Finite element matrix statement 41
4.5 Assembly of {WS}e to form algebraic GWS h 43 4.6 Solution accuracy,
error distribution 45 4.7 Convergence, boundary heat flux 47 4.8 Chapter
summary 47 4.9 Exercises 48 4.10 Chapter reference 48 5 STEADY HEAT
TRANSFER, n =149 5.1 Introduction 49 5.2 Steady heat transfer, n = 1 50 5.3
FE k = 1 trial space basis matrix library 52 5.4 Object-oriented GWS h
programming 55 5.5 Higher completeness degree trial space bases58 5.6
Global theory, asymptotic error estimate 62 5.7 Non-smooth data, theory
generalization 66 5.8 Temperature dependent conductivity, non-linearity 69
5.9 Static condensation, p-elements 72 5.10 Chapter summary 75 5.11
Exercises 76 5.12 Computer labs 77 5.13 Chapter references 78 6 ENGINEERING
SCIENCES, n =1 79 6.1 Introduction 79 6.2 The Euler-Bernoulli beam equation
80 6.3 Euler-Bernoulli beam theory GWS h reformulation 85 6.4 The
Timoshenko beam theory 92 6.5 Mechanical vibrations of a beam 99 6.6 Fluid
mechanics, potential flow 106 6.7 Electromagnetic plane wave propagation110
6.8 Convective-radiative finned cylinder heat transfer 112 6.9 Chapter
summary 120 6.10 Exercises122 6.10 Computer labs 123 6.11 Chapter
references 124 7 STEADY HEAT TRANSFER, n > 1 125 7.1 Introduction 125 7.2
Multi-dimensional FE bases and DOF 126 7.3 Multi-dimensional FE operations
129 7.4 The NC k = 1,2 basis FE matrix library 132 7.5 NC basis {WS}e
template, accuracy, convergence 136 7.6 The tensor product basis element
family 139 7.7 Gauss numerical quadrature, k = 1 TP basis library 141 7.8
Convection-radiation BC GWS h implementation 146 7.9 Linear basis GWS h
template unification 150 7.10 Accuracy, convergence revisited 152 7.11
Chapter summary 153 7.12 Exercises155 7.13 Computer labs 155 7.14 Chapter
references 156 8 FINITE DIFFERENCES OF OPINION 159 8.1 The FD-FE
correlation159 8.2 The FV-FE correlation162 8.3 Chapter summary 167 8.4
Exercises168 9 CONVECTION-DIFFUSION, n = 1 169 9.1 Introduction169 9.2 The
Galerkin weak statement 170 9.3 GWS h completion for time dependence172 9.4
GWS h + qTS algorithm templates 173 9.5 GWS h + qTS algorithm asymptotic
error estimates 175 9.6 Performance verification test cases 177 9.7
Dispersive error characterization 180 9.8 A modified Galerkin weak
statement 184 9.9 Verification problem statements revisited 187 9.10
Unsteady heat conduction 190 9.11 Chapter summary 193 9.12 Exercises 193
9.13 Computer labs 194 9.14 Chapter references 195 10 CONVECTION-DIFFUSION,
n > 1 197 10.1 The problem statement 197 10.2 GWS h + qTS formulation
reprise 198 10.3 Matrix library additions, templates 200 10.4 mPDE Galerkin
weak forms, theoretical analyses 202 10.5 Verification, benchmarking and
validation 207 10.6 Mass transport, the rotating cone verification 208 10.7
The gaussian plume benchmark 211 10.8 The steady n-D Peclet problem
verification 213 10.9 Mass transport, a validated n = 3 experiment 215
10.10 Numerical linear algebra, matrix iteration 222 10.11 Newton and AF TP
jacobian templates 227 10.12 Chapter summary 229 10.13 Exercises231 10.14
Computer labs 231 10.15 Chapter references232 11 ENGINEERING SCIENCES, n >
1 235 11.1 Introduction 235 11.2 Structural mechanics236 11.3 Structural
mechanics, virtual work FE form 240 11.4 Plane stress/strain, GWS h
implementation 242 11.5 Elasticity computer lab 246 11.6 Fluid mechanics,
incompressible-thermal flow 251 11.7 Vorticity-streamfunction GWS h + qTS
algorithm 254 11.8 An isothermal INS validation experiment 258 11.9
Multi-mode convection heat transfer262 11.10 Mechanical vibrations, normal
mode GWS h 267 11.11 Normal modes of a vibrating membrane270 11.12
Multi-physics solid-fluid mass transport 276 11.13 Chapter summary 280
11.14 Exercises 282 11.15 Computer labs283 11.14 Chapter references 284 12
CONCLUSION 287 Index 289
Engineering simulation 1 1.2 A problem solving environment 2 1.3 Problem
statements in engineering 4 1.4 Decisions on forming WS N 6 1.5 Discrete
approximate WS h implementation 8 1.6 Chapter summary 9 1.7 Chapter
references 10 2 PROBLEM STATEMENTS 11 2.1 Engineering simulation 11 2.2
Continuum mechanics viewpoint 12 2.3 Continuum conservation law forms 12
2.4 Constitutive closure for conservation law PDEs 14 2.5 Engineering
science continuum mechanics 18 2.6 Chapter references 20 3 SOME
INTRODUCTORY MATERIAL 21 3.1 Introduction 21 3.2 Multi-dimensional PDEs,
separation of variables 22 3.3 Theoretical foundations, GWS h 27 3.4 A
legacy FD construction 28 3.5 An FD approximate solution 30 3.6 Lagrange
interpolation polynomials 31 3.7 Chapter summary 32 3.8 Exercises 34 3.9
Chapter references 34 4 HEAT CONDUCTION35 4.1 A steady heat conduction
example 35 4.2 Weak form approximation, error minimization 37 4.3 GWS N
discrete implementation, FE basis38 4.4 Finite element matrix statement 41
4.5 Assembly of {WS}e to form algebraic GWS h 43 4.6 Solution accuracy,
error distribution 45 4.7 Convergence, boundary heat flux 47 4.8 Chapter
summary 47 4.9 Exercises 48 4.10 Chapter reference 48 5 STEADY HEAT
TRANSFER, n =149 5.1 Introduction 49 5.2 Steady heat transfer, n = 1 50 5.3
FE k = 1 trial space basis matrix library 52 5.4 Object-oriented GWS h
programming 55 5.5 Higher completeness degree trial space bases58 5.6
Global theory, asymptotic error estimate 62 5.7 Non-smooth data, theory
generalization 66 5.8 Temperature dependent conductivity, non-linearity 69
5.9 Static condensation, p-elements 72 5.10 Chapter summary 75 5.11
Exercises 76 5.12 Computer labs 77 5.13 Chapter references 78 6 ENGINEERING
SCIENCES, n =1 79 6.1 Introduction 79 6.2 The Euler-Bernoulli beam equation
80 6.3 Euler-Bernoulli beam theory GWS h reformulation 85 6.4 The
Timoshenko beam theory 92 6.5 Mechanical vibrations of a beam 99 6.6 Fluid
mechanics, potential flow 106 6.7 Electromagnetic plane wave propagation110
6.8 Convective-radiative finned cylinder heat transfer 112 6.9 Chapter
summary 120 6.10 Exercises122 6.10 Computer labs 123 6.11 Chapter
references 124 7 STEADY HEAT TRANSFER, n > 1 125 7.1 Introduction 125 7.2
Multi-dimensional FE bases and DOF 126 7.3 Multi-dimensional FE operations
129 7.4 The NC k = 1,2 basis FE matrix library 132 7.5 NC basis {WS}e
template, accuracy, convergence 136 7.6 The tensor product basis element
family 139 7.7 Gauss numerical quadrature, k = 1 TP basis library 141 7.8
Convection-radiation BC GWS h implementation 146 7.9 Linear basis GWS h
template unification 150 7.10 Accuracy, convergence revisited 152 7.11
Chapter summary 153 7.12 Exercises155 7.13 Computer labs 155 7.14 Chapter
references 156 8 FINITE DIFFERENCES OF OPINION 159 8.1 The FD-FE
correlation159 8.2 The FV-FE correlation162 8.3 Chapter summary 167 8.4
Exercises168 9 CONVECTION-DIFFUSION, n = 1 169 9.1 Introduction169 9.2 The
Galerkin weak statement 170 9.3 GWS h completion for time dependence172 9.4
GWS h + qTS algorithm templates 173 9.5 GWS h + qTS algorithm asymptotic
error estimates 175 9.6 Performance verification test cases 177 9.7
Dispersive error characterization 180 9.8 A modified Galerkin weak
statement 184 9.9 Verification problem statements revisited 187 9.10
Unsteady heat conduction 190 9.11 Chapter summary 193 9.12 Exercises 193
9.13 Computer labs 194 9.14 Chapter references 195 10 CONVECTION-DIFFUSION,
n > 1 197 10.1 The problem statement 197 10.2 GWS h + qTS formulation
reprise 198 10.3 Matrix library additions, templates 200 10.4 mPDE Galerkin
weak forms, theoretical analyses 202 10.5 Verification, benchmarking and
validation 207 10.6 Mass transport, the rotating cone verification 208 10.7
The gaussian plume benchmark 211 10.8 The steady n-D Peclet problem
verification 213 10.9 Mass transport, a validated n = 3 experiment 215
10.10 Numerical linear algebra, matrix iteration 222 10.11 Newton and AF TP
jacobian templates 227 10.12 Chapter summary 229 10.13 Exercises231 10.14
Computer labs 231 10.15 Chapter references232 11 ENGINEERING SCIENCES, n >
1 235 11.1 Introduction 235 11.2 Structural mechanics236 11.3 Structural
mechanics, virtual work FE form 240 11.4 Plane stress/strain, GWS h
implementation 242 11.5 Elasticity computer lab 246 11.6 Fluid mechanics,
incompressible-thermal flow 251 11.7 Vorticity-streamfunction GWS h + qTS
algorithm 254 11.8 An isothermal INS validation experiment 258 11.9
Multi-mode convection heat transfer262 11.10 Mechanical vibrations, normal
mode GWS h 267 11.11 Normal modes of a vibrating membrane270 11.12
Multi-physics solid-fluid mass transport 276 11.13 Chapter summary 280
11.14 Exercises 282 11.15 Computer labs283 11.14 Chapter references 284 12
CONCLUSION 287 Index 289
Preface viii Notation xi 1 COMPUTATIONAL ENGINEERING SCIENCE 1 1.1
Engineering simulation 1 1.2 A problem solving environment 2 1.3 Problem
statements in engineering 4 1.4 Decisions on forming WS N 6 1.5 Discrete
approximate WS h implementation 8 1.6 Chapter summary 9 1.7 Chapter
references 10 2 PROBLEM STATEMENTS 11 2.1 Engineering simulation 11 2.2
Continuum mechanics viewpoint 12 2.3 Continuum conservation law forms 12
2.4 Constitutive closure for conservation law PDEs 14 2.5 Engineering
science continuum mechanics 18 2.6 Chapter references 20 3 SOME
INTRODUCTORY MATERIAL 21 3.1 Introduction 21 3.2 Multi-dimensional PDEs,
separation of variables 22 3.3 Theoretical foundations, GWS h 27 3.4 A
legacy FD construction 28 3.5 An FD approximate solution 30 3.6 Lagrange
interpolation polynomials 31 3.7 Chapter summary 32 3.8 Exercises 34 3.9
Chapter references 34 4 HEAT CONDUCTION35 4.1 A steady heat conduction
example 35 4.2 Weak form approximation, error minimization 37 4.3 GWS N
discrete implementation, FE basis38 4.4 Finite element matrix statement 41
4.5 Assembly of {WS}e to form algebraic GWS h 43 4.6 Solution accuracy,
error distribution 45 4.7 Convergence, boundary heat flux 47 4.8 Chapter
summary 47 4.9 Exercises 48 4.10 Chapter reference 48 5 STEADY HEAT
TRANSFER, n =149 5.1 Introduction 49 5.2 Steady heat transfer, n = 1 50 5.3
FE k = 1 trial space basis matrix library 52 5.4 Object-oriented GWS h
programming 55 5.5 Higher completeness degree trial space bases58 5.6
Global theory, asymptotic error estimate 62 5.7 Non-smooth data, theory
generalization 66 5.8 Temperature dependent conductivity, non-linearity 69
5.9 Static condensation, p-elements 72 5.10 Chapter summary 75 5.11
Exercises 76 5.12 Computer labs 77 5.13 Chapter references 78 6 ENGINEERING
SCIENCES, n =1 79 6.1 Introduction 79 6.2 The Euler-Bernoulli beam equation
80 6.3 Euler-Bernoulli beam theory GWS h reformulation 85 6.4 The
Timoshenko beam theory 92 6.5 Mechanical vibrations of a beam 99 6.6 Fluid
mechanics, potential flow 106 6.7 Electromagnetic plane wave propagation110
6.8 Convective-radiative finned cylinder heat transfer 112 6.9 Chapter
summary 120 6.10 Exercises122 6.10 Computer labs 123 6.11 Chapter
references 124 7 STEADY HEAT TRANSFER, n > 1 125 7.1 Introduction 125 7.2
Multi-dimensional FE bases and DOF 126 7.3 Multi-dimensional FE operations
129 7.4 The NC k = 1,2 basis FE matrix library 132 7.5 NC basis {WS}e
template, accuracy, convergence 136 7.6 The tensor product basis element
family 139 7.7 Gauss numerical quadrature, k = 1 TP basis library 141 7.8
Convection-radiation BC GWS h implementation 146 7.9 Linear basis GWS h
template unification 150 7.10 Accuracy, convergence revisited 152 7.11
Chapter summary 153 7.12 Exercises155 7.13 Computer labs 155 7.14 Chapter
references 156 8 FINITE DIFFERENCES OF OPINION 159 8.1 The FD-FE
correlation159 8.2 The FV-FE correlation162 8.3 Chapter summary 167 8.4
Exercises168 9 CONVECTION-DIFFUSION, n = 1 169 9.1 Introduction169 9.2 The
Galerkin weak statement 170 9.3 GWS h completion for time dependence172 9.4
GWS h + qTS algorithm templates 173 9.5 GWS h + qTS algorithm asymptotic
error estimates 175 9.6 Performance verification test cases 177 9.7
Dispersive error characterization 180 9.8 A modified Galerkin weak
statement 184 9.9 Verification problem statements revisited 187 9.10
Unsteady heat conduction 190 9.11 Chapter summary 193 9.12 Exercises 193
9.13 Computer labs 194 9.14 Chapter references 195 10 CONVECTION-DIFFUSION,
n > 1 197 10.1 The problem statement 197 10.2 GWS h + qTS formulation
reprise 198 10.3 Matrix library additions, templates 200 10.4 mPDE Galerkin
weak forms, theoretical analyses 202 10.5 Verification, benchmarking and
validation 207 10.6 Mass transport, the rotating cone verification 208 10.7
The gaussian plume benchmark 211 10.8 The steady n-D Peclet problem
verification 213 10.9 Mass transport, a validated n = 3 experiment 215
10.10 Numerical linear algebra, matrix iteration 222 10.11 Newton and AF TP
jacobian templates 227 10.12 Chapter summary 229 10.13 Exercises231 10.14
Computer labs 231 10.15 Chapter references232 11 ENGINEERING SCIENCES, n >
1 235 11.1 Introduction 235 11.2 Structural mechanics236 11.3 Structural
mechanics, virtual work FE form 240 11.4 Plane stress/strain, GWS h
implementation 242 11.5 Elasticity computer lab 246 11.6 Fluid mechanics,
incompressible-thermal flow 251 11.7 Vorticity-streamfunction GWS h + qTS
algorithm 254 11.8 An isothermal INS validation experiment 258 11.9
Multi-mode convection heat transfer262 11.10 Mechanical vibrations, normal
mode GWS h 267 11.11 Normal modes of a vibrating membrane270 11.12
Multi-physics solid-fluid mass transport 276 11.13 Chapter summary 280
11.14 Exercises 282 11.15 Computer labs283 11.14 Chapter references 284 12
CONCLUSION 287 Index 289
Engineering simulation 1 1.2 A problem solving environment 2 1.3 Problem
statements in engineering 4 1.4 Decisions on forming WS N 6 1.5 Discrete
approximate WS h implementation 8 1.6 Chapter summary 9 1.7 Chapter
references 10 2 PROBLEM STATEMENTS 11 2.1 Engineering simulation 11 2.2
Continuum mechanics viewpoint 12 2.3 Continuum conservation law forms 12
2.4 Constitutive closure for conservation law PDEs 14 2.5 Engineering
science continuum mechanics 18 2.6 Chapter references 20 3 SOME
INTRODUCTORY MATERIAL 21 3.1 Introduction 21 3.2 Multi-dimensional PDEs,
separation of variables 22 3.3 Theoretical foundations, GWS h 27 3.4 A
legacy FD construction 28 3.5 An FD approximate solution 30 3.6 Lagrange
interpolation polynomials 31 3.7 Chapter summary 32 3.8 Exercises 34 3.9
Chapter references 34 4 HEAT CONDUCTION35 4.1 A steady heat conduction
example 35 4.2 Weak form approximation, error minimization 37 4.3 GWS N
discrete implementation, FE basis38 4.4 Finite element matrix statement 41
4.5 Assembly of {WS}e to form algebraic GWS h 43 4.6 Solution accuracy,
error distribution 45 4.7 Convergence, boundary heat flux 47 4.8 Chapter
summary 47 4.9 Exercises 48 4.10 Chapter reference 48 5 STEADY HEAT
TRANSFER, n =149 5.1 Introduction 49 5.2 Steady heat transfer, n = 1 50 5.3
FE k = 1 trial space basis matrix library 52 5.4 Object-oriented GWS h
programming 55 5.5 Higher completeness degree trial space bases58 5.6
Global theory, asymptotic error estimate 62 5.7 Non-smooth data, theory
generalization 66 5.8 Temperature dependent conductivity, non-linearity 69
5.9 Static condensation, p-elements 72 5.10 Chapter summary 75 5.11
Exercises 76 5.12 Computer labs 77 5.13 Chapter references 78 6 ENGINEERING
SCIENCES, n =1 79 6.1 Introduction 79 6.2 The Euler-Bernoulli beam equation
80 6.3 Euler-Bernoulli beam theory GWS h reformulation 85 6.4 The
Timoshenko beam theory 92 6.5 Mechanical vibrations of a beam 99 6.6 Fluid
mechanics, potential flow 106 6.7 Electromagnetic plane wave propagation110
6.8 Convective-radiative finned cylinder heat transfer 112 6.9 Chapter
summary 120 6.10 Exercises122 6.10 Computer labs 123 6.11 Chapter
references 124 7 STEADY HEAT TRANSFER, n > 1 125 7.1 Introduction 125 7.2
Multi-dimensional FE bases and DOF 126 7.3 Multi-dimensional FE operations
129 7.4 The NC k = 1,2 basis FE matrix library 132 7.5 NC basis {WS}e
template, accuracy, convergence 136 7.6 The tensor product basis element
family 139 7.7 Gauss numerical quadrature, k = 1 TP basis library 141 7.8
Convection-radiation BC GWS h implementation 146 7.9 Linear basis GWS h
template unification 150 7.10 Accuracy, convergence revisited 152 7.11
Chapter summary 153 7.12 Exercises155 7.13 Computer labs 155 7.14 Chapter
references 156 8 FINITE DIFFERENCES OF OPINION 159 8.1 The FD-FE
correlation159 8.2 The FV-FE correlation162 8.3 Chapter summary 167 8.4
Exercises168 9 CONVECTION-DIFFUSION, n = 1 169 9.1 Introduction169 9.2 The
Galerkin weak statement 170 9.3 GWS h completion for time dependence172 9.4
GWS h + qTS algorithm templates 173 9.5 GWS h + qTS algorithm asymptotic
error estimates 175 9.6 Performance verification test cases 177 9.7
Dispersive error characterization 180 9.8 A modified Galerkin weak
statement 184 9.9 Verification problem statements revisited 187 9.10
Unsteady heat conduction 190 9.11 Chapter summary 193 9.12 Exercises 193
9.13 Computer labs 194 9.14 Chapter references 195 10 CONVECTION-DIFFUSION,
n > 1 197 10.1 The problem statement 197 10.2 GWS h + qTS formulation
reprise 198 10.3 Matrix library additions, templates 200 10.4 mPDE Galerkin
weak forms, theoretical analyses 202 10.5 Verification, benchmarking and
validation 207 10.6 Mass transport, the rotating cone verification 208 10.7
The gaussian plume benchmark 211 10.8 The steady n-D Peclet problem
verification 213 10.9 Mass transport, a validated n = 3 experiment 215
10.10 Numerical linear algebra, matrix iteration 222 10.11 Newton and AF TP
jacobian templates 227 10.12 Chapter summary 229 10.13 Exercises231 10.14
Computer labs 231 10.15 Chapter references232 11 ENGINEERING SCIENCES, n >
1 235 11.1 Introduction 235 11.2 Structural mechanics236 11.3 Structural
mechanics, virtual work FE form 240 11.4 Plane stress/strain, GWS h
implementation 242 11.5 Elasticity computer lab 246 11.6 Fluid mechanics,
incompressible-thermal flow 251 11.7 Vorticity-streamfunction GWS h + qTS
algorithm 254 11.8 An isothermal INS validation experiment 258 11.9
Multi-mode convection heat transfer262 11.10 Mechanical vibrations, normal
mode GWS h 267 11.11 Normal modes of a vibrating membrane270 11.12
Multi-physics solid-fluid mass transport 276 11.13 Chapter summary 280
11.14 Exercises 282 11.15 Computer labs283 11.14 Chapter references 284 12
CONCLUSION 287 Index 289