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Finite elements [[electronic resource] ] : computational engineering sciences / / A.J. Baker
| Finite elements [[electronic resource] ] : computational engineering sciences / / A.J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina |
620.001/51825
620.00151825 |
| Soggetto topico | Finite element method |
| ISBN |
1-283-57411-X
9786613886569 1-118-36989-0 1-118-36992-0 1-118-36991-2 1-118-37992-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Elements: Computational Engineering Sciences; Contents; Preface; About the Author; Notations; 1 The Computational Engineering Sciences: an introduction; 1.1 Engineering Simulation; 1.2 A Problem-Solving Environment; 1.3 Weak Formulation Essence; 1.4 Decisions on Forming WSN; 1.5 Discrete WSh Implementations; 1.6 Chapter Summary; References; 2 Problem Statements: in the engineering sciences; 2.1 Engineering Simulation; 2.2 Continuum Mechanics Viewpoint; 2.3 Continuum Conservation Principle Forms; 2.4 Constitutive Closure for Conservation Principle PDEs
2.5 Engineering Science Continuum MechanicsReferences; 3 Some Introductory Material: PDEs, BCs, solutions, discrete concepts; 3.1 Example Linear Heat Conduction Solutions; 3.2 Multidimensional PDEs, Separation of Variables; 3.3 Mathematical Foundation Essence for GWSN; 3.4 A Legacy FD Construction; 3.5 An FD Approximate Solution; 3.6 Lagrange Interpolation Polynomials; 3.7 Chapter Summary; Exercises; References; 4 Heat Conduction: an FE weak statement tutorial; 4.1 A Steady Heat Conduction Example; 4.2 Weak Form Approximation, Error Extremization 5.6 Global Theory, Asymptotic Error Estimate5.7 Nonsmooth Data, Theory Generalization; 5.8 Temperature-Dependent Conductivity, Nonlinearity; 5.9 Static Condensation, p-Elements; 5.10 Chapter Summary; Exercises; Computer Labs; References; 6 Engineering Sciences, n = 1: GWSh {Nk(ζα)} implementations in the computational engineering sciences; 6.1 Introduction; 6.2 The Euler-Bernoulli Beam Equation; 6.3 Euler-Bernoulli Beam Theory GWSh Reformulation; 6.4 Timoshenko Beam Theory; 6.5 Mechanical Vibrations of a Beam; 6.6 Fluid Mechanics, Potential Flow; 6.7 Electromagnetic Plane Wave Propagation 6.8 Convection-Radiation Finned Cylinder Heat Transfer6.9 Chapter Summary; Exercises; Computer Labs; References; 7 Steady Heat Transfer, n > 1: n = 2, 3 GWSh for D E+ BCs, FE bases, convergence, error mechanisms; 7.1 Introduction; 7.2 Multidimensional FE Bases and DOF; 7.3 Multidimensional FE Operations for {Nk(ζ α)}; 7.4 The NCk = 1,2 Basis FE Matrix Library; 7.5 NC Basis {WS}e Template, Accuracy, Convergence; 7.6 The Tensor Product Basis Element Family; 7.7 Gauss Numerical Quadrature, k = 1 TP Basis Library; 7.8 Convection-Radiation BC GWSh Implementation 7.9 Linear Basis GWSh Template Unification |
| Record Nr. | UNINA-9910139087803321 |
Baker A. J. <1936->
|
||
| Hoboken, N.J., : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite elements [[electronic resource] ] : computational engineering sciences / / A.J. Baker
| Finite elements [[electronic resource] ] : computational engineering sciences / / A.J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina |
620.001/51825
620.00151825 |
| Soggetto topico | Finite element method |
| ISBN |
1-283-57411-X
9786613886569 1-118-36989-0 1-118-36992-0 1-118-36991-2 1-118-37992-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Elements: Computational Engineering Sciences; Contents; Preface; About the Author; Notations; 1 The Computational Engineering Sciences: an introduction; 1.1 Engineering Simulation; 1.2 A Problem-Solving Environment; 1.3 Weak Formulation Essence; 1.4 Decisions on Forming WSN; 1.5 Discrete WSh Implementations; 1.6 Chapter Summary; References; 2 Problem Statements: in the engineering sciences; 2.1 Engineering Simulation; 2.2 Continuum Mechanics Viewpoint; 2.3 Continuum Conservation Principle Forms; 2.4 Constitutive Closure for Conservation Principle PDEs
2.5 Engineering Science Continuum MechanicsReferences; 3 Some Introductory Material: PDEs, BCs, solutions, discrete concepts; 3.1 Example Linear Heat Conduction Solutions; 3.2 Multidimensional PDEs, Separation of Variables; 3.3 Mathematical Foundation Essence for GWSN; 3.4 A Legacy FD Construction; 3.5 An FD Approximate Solution; 3.6 Lagrange Interpolation Polynomials; 3.7 Chapter Summary; Exercises; References; 4 Heat Conduction: an FE weak statement tutorial; 4.1 A Steady Heat Conduction Example; 4.2 Weak Form Approximation, Error Extremization 5.6 Global Theory, Asymptotic Error Estimate5.7 Nonsmooth Data, Theory Generalization; 5.8 Temperature-Dependent Conductivity, Nonlinearity; 5.9 Static Condensation, p-Elements; 5.10 Chapter Summary; Exercises; Computer Labs; References; 6 Engineering Sciences, n = 1: GWSh {Nk(ζα)} implementations in the computational engineering sciences; 6.1 Introduction; 6.2 The Euler-Bernoulli Beam Equation; 6.3 Euler-Bernoulli Beam Theory GWSh Reformulation; 6.4 Timoshenko Beam Theory; 6.5 Mechanical Vibrations of a Beam; 6.6 Fluid Mechanics, Potential Flow; 6.7 Electromagnetic Plane Wave Propagation 6.8 Convection-Radiation Finned Cylinder Heat Transfer6.9 Chapter Summary; Exercises; Computer Labs; References; 7 Steady Heat Transfer, n > 1: n = 2, 3 GWSh for D E+ BCs, FE bases, convergence, error mechanisms; 7.1 Introduction; 7.2 Multidimensional FE Bases and DOF; 7.3 Multidimensional FE Operations for {Nk(ζ α)}; 7.4 The NCk = 1,2 Basis FE Matrix Library; 7.5 NC Basis {WS}e Template, Accuracy, Convergence; 7.6 The Tensor Product Basis Element Family; 7.7 Gauss Numerical Quadrature, k = 1 TP Basis Library; 7.8 Convection-Radiation BC GWSh Implementation 7.9 Linear Basis GWSh Template Unification |
| Record Nr. | UNINA-9910831177703321 |
|
Baker A. J. <1936->
|
||
| Hoboken, N.J., : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite elements : computational engineering sciences / / A.J. Baker
| Finite elements : computational engineering sciences / / A.J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 620.001/51825 |
| Soggetto topico | Finite element method |
| ISBN |
9786613886569
9781283574112 128357411X 9781118369890 1118369890 9781118369920 1118369920 9781118369913 1118369912 9781118379929 1118379926 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Elements: Computational Engineering Sciences; Contents; Preface; About the Author; Notations; 1 The Computational Engineering Sciences: an introduction; 1.1 Engineering Simulation; 1.2 A Problem-Solving Environment; 1.3 Weak Formulation Essence; 1.4 Decisions on Forming WSN; 1.5 Discrete WSh Implementations; 1.6 Chapter Summary; References; 2 Problem Statements: in the engineering sciences; 2.1 Engineering Simulation; 2.2 Continuum Mechanics Viewpoint; 2.3 Continuum Conservation Principle Forms; 2.4 Constitutive Closure for Conservation Principle PDEs
2.5 Engineering Science Continuum MechanicsReferences; 3 Some Introductory Material: PDEs, BCs, solutions, discrete concepts; 3.1 Example Linear Heat Conduction Solutions; 3.2 Multidimensional PDEs, Separation of Variables; 3.3 Mathematical Foundation Essence for GWSN; 3.4 A Legacy FD Construction; 3.5 An FD Approximate Solution; 3.6 Lagrange Interpolation Polynomials; 3.7 Chapter Summary; Exercises; References; 4 Heat Conduction: an FE weak statement tutorial; 4.1 A Steady Heat Conduction Example; 4.2 Weak Form Approximation, Error Extremization 5.6 Global Theory, Asymptotic Error Estimate5.7 Nonsmooth Data, Theory Generalization; 5.8 Temperature-Dependent Conductivity, Nonlinearity; 5.9 Static Condensation, p-Elements; 5.10 Chapter Summary; Exercises; Computer Labs; References; 6 Engineering Sciences, n = 1: GWSh {Nk(ζα)} implementations in the computational engineering sciences; 6.1 Introduction; 6.2 The Euler-Bernoulli Beam Equation; 6.3 Euler-Bernoulli Beam Theory GWSh Reformulation; 6.4 Timoshenko Beam Theory; 6.5 Mechanical Vibrations of a Beam; 6.6 Fluid Mechanics, Potential Flow; 6.7 Electromagnetic Plane Wave Propagation 6.8 Convection-Radiation Finned Cylinder Heat Transfer6.9 Chapter Summary; Exercises; Computer Labs; References; 7 Steady Heat Transfer, n > 1: n = 2, 3 GWSh for D E+ BCs, FE bases, convergence, error mechanisms; 7.1 Introduction; 7.2 Multidimensional FE Bases and DOF; 7.3 Multidimensional FE Operations for {Nk(ζ α)}; 7.4 The NCk = 1,2 Basis FE Matrix Library; 7.5 NC Basis {WS}e Template, Accuracy, Convergence; 7.6 The Tensor Product Basis Element Family; 7.7 Gauss Numerical Quadrature, k = 1 TP Basis Library; 7.8 Convection-Radiation BC GWSh Implementation 7.9 Linear Basis GWSh Template Unification |
| Record Nr. | UNINA-9911020465303321 |
|
Baker A. J. <1936->
|
||
| Hoboken, N.J., : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal modified continuous Galerkin CFD / / A. J. Baker
| Optimal modified continuous Galerkin CFD / / A. J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (576 p.) |
| Disciplina | 518/.63 |
| Soggetto topico |
Fluid mechanics
Finite element method Galerkin methods |
| ISBN |
1-118-40271-5
1-118-40307-X 1-118-40308-8 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Optimal Modified Continuous Galerkin CFD; Contents; Preface; About the Author; Notations; 1 Introduction; 1.1 About This Book; 1.2 The Navier-Stokes Conservation Principles System; 1.3 Navier-Stokes PDE System Manipulations; 1.4 Weak Form Overview; 1.5 A Brief History of Finite Element CFD; 1.6 A Brief Summary; References; 2 Concepts, terminology, methodology; 2.1 Overview; 2.2 Steady DE Weak Form Completion; 2.3 Steady DE GWSN Discrete FE Implementation; 2.4 PDE Solutions, Classical Concepts; 2.5 The Sturm-Liouville Equation, Orthogonality, Completeness; 2.6 Classical Variational Calculus
2.7 Variational Calculus, Weak Form Duality 2.8 Quadratic Forms, Norms, Error Estimation; 2.9 Theory Illustrations for Non-Smooth, Nonlinear Data; 2.10 Matrix Algebra, Notation; 2.11 Equation Solving, Linear Algebra; 2.12 Krylov Sparse Matrix Solver Methodology; 2.13 Summary; Exercises; References; 3 Aerodynamics I: Potential flow, GWSh theory exposition, transonic flow mPDE shock capturing; 3.1 Aerodynamics, Weak Interaction; 3.2 Navier-Stokes Manipulations for Aerodynamics; 3.3 Steady Potential Flow GWS; 3.4 Accuracy, Convergence, Mathematical Preliminaries 3.5 Accuracy, Galerkin Weak Form Optimality 3.6 Accuracy, GWSh Error Bound; 3.7 Accuracy, GWSh Asymptotic Convergence; 3.8 GWSh Natural Coordinate FE Basis Matrices; 3.9 GWSh Tensor Product FE Basis Matrices; 3.10 GWSh Comparison with Laplacian FD and FV Stencils; 3.11 Post-Processing Pressure Distributions; 3.12 Transonic Potential Flow, Shock Capturing; 3.13 Summary; Exercises; References; 4 Aerodynamics II: boundary layers, turbulence closure modeling, parabolic Navier-Stokes; 4.1 Aerodynamics, Weak Interaction Reprise; 4.2 Navier-Stokes PDE System Reynolds Ordered 4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 4.4 GWSh + θTS BL Matrix Iteration Algorithm; 4.5 Accuracy, Convergence, Optimal Mesh Solutions; 4.6 GWSh + θTS Solution Optimality, Data Influence; 4.7 Time Averaged NS, Turbulent BL Formulation; 4.8 Turbulent BL GWSh + θTS, Accuracy, Convergence; 4.9 GWSh + θTS BL Algorithm, TKE Closure Models; 4.10 The Parabolic Navier-Stokes PDE System; 4.11 GWSh + θTS Algorithm for PNS PDE System; 4.12 GWSh + θTS k =1 NC Basis PNS Algorithm; 4.13 Weak Interaction PNS Algorithm Validation; 4.14 Square Duct PNS Algorithm Validation; 4.15 Summary; Exercises References 5 The Navier-Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms; 5.1 The Incompressible Navier-Stokes PDE System; 5.2 Continuity Constraint, Exact Enforcement; 5.3 Continuity Constraint, Inexact Enforcement; 5.4 The CCM Pressure Projection Algorithm; 5.5 Convective Transport, Phase Velocity; 5.6 Convection-Diffusion, Phase Speed Characterization; 5.7 Theory for Optimal mGWSh + θTS Phase Accuracy; 5.8 Optimally Phase Accurate mGWSh + θTS in n Dimensions; 5.9 Theory for Optimal mGWSh Asymptotic Convergence 5.10 The Optimal mGWSh + θTS k = 1 Basis NS Algorithm |
| Record Nr. | UNINA-9910132234503321 |
|
Baker A. J. <1936->
|
||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal modified continuous Galerkin CFD / / A. J. Baker
| Optimal modified continuous Galerkin CFD / / A. J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (576 p.) |
| Disciplina | 518/.63 |
| Soggetto topico |
Fluid mechanics
Finite element method Galerkin methods |
| ISBN |
1-118-40271-5
1-118-40307-X 1-118-40308-8 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Optimal Modified Continuous Galerkin CFD; Contents; Preface; About the Author; Notations; 1 Introduction; 1.1 About This Book; 1.2 The Navier-Stokes Conservation Principles System; 1.3 Navier-Stokes PDE System Manipulations; 1.4 Weak Form Overview; 1.5 A Brief History of Finite Element CFD; 1.6 A Brief Summary; References; 2 Concepts, terminology, methodology; 2.1 Overview; 2.2 Steady DE Weak Form Completion; 2.3 Steady DE GWSN Discrete FE Implementation; 2.4 PDE Solutions, Classical Concepts; 2.5 The Sturm-Liouville Equation, Orthogonality, Completeness; 2.6 Classical Variational Calculus
2.7 Variational Calculus, Weak Form Duality 2.8 Quadratic Forms, Norms, Error Estimation; 2.9 Theory Illustrations for Non-Smooth, Nonlinear Data; 2.10 Matrix Algebra, Notation; 2.11 Equation Solving, Linear Algebra; 2.12 Krylov Sparse Matrix Solver Methodology; 2.13 Summary; Exercises; References; 3 Aerodynamics I: Potential flow, GWSh theory exposition, transonic flow mPDE shock capturing; 3.1 Aerodynamics, Weak Interaction; 3.2 Navier-Stokes Manipulations for Aerodynamics; 3.3 Steady Potential Flow GWS; 3.4 Accuracy, Convergence, Mathematical Preliminaries 3.5 Accuracy, Galerkin Weak Form Optimality 3.6 Accuracy, GWSh Error Bound; 3.7 Accuracy, GWSh Asymptotic Convergence; 3.8 GWSh Natural Coordinate FE Basis Matrices; 3.9 GWSh Tensor Product FE Basis Matrices; 3.10 GWSh Comparison with Laplacian FD and FV Stencils; 3.11 Post-Processing Pressure Distributions; 3.12 Transonic Potential Flow, Shock Capturing; 3.13 Summary; Exercises; References; 4 Aerodynamics II: boundary layers, turbulence closure modeling, parabolic Navier-Stokes; 4.1 Aerodynamics, Weak Interaction Reprise; 4.2 Navier-Stokes PDE System Reynolds Ordered 4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 4.4 GWSh + θTS BL Matrix Iteration Algorithm; 4.5 Accuracy, Convergence, Optimal Mesh Solutions; 4.6 GWSh + θTS Solution Optimality, Data Influence; 4.7 Time Averaged NS, Turbulent BL Formulation; 4.8 Turbulent BL GWSh + θTS, Accuracy, Convergence; 4.9 GWSh + θTS BL Algorithm, TKE Closure Models; 4.10 The Parabolic Navier-Stokes PDE System; 4.11 GWSh + θTS Algorithm for PNS PDE System; 4.12 GWSh + θTS k =1 NC Basis PNS Algorithm; 4.13 Weak Interaction PNS Algorithm Validation; 4.14 Square Duct PNS Algorithm Validation; 4.15 Summary; Exercises References 5 The Navier-Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms; 5.1 The Incompressible Navier-Stokes PDE System; 5.2 Continuity Constraint, Exact Enforcement; 5.3 Continuity Constraint, Inexact Enforcement; 5.4 The CCM Pressure Projection Algorithm; 5.5 Convective Transport, Phase Velocity; 5.6 Convection-Diffusion, Phase Speed Characterization; 5.7 Theory for Optimal mGWSh + θTS Phase Accuracy; 5.8 Optimally Phase Accurate mGWSh + θTS in n Dimensions; 5.9 Theory for Optimal mGWSh Asymptotic Convergence 5.10 The Optimal mGWSh + θTS k = 1 Basis NS Algorithm |
| Record Nr. | UNINA-9910807349903321 |
|
Baker A. J. <1936->
|
||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||