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Introduction to finite element analysis [[electronic resource] ] : formulation, verification and validation / / Barna Szabo, Ivo Babuska
Introduction to finite element analysis [[electronic resource] ] : formulation, verification and validation / / Barna Szabo, Ivo Babuska
Autore Szabo B. A (Barna Aladar), <1935->
Pubbl/distr/stampa Chichester, West Sussex, : Wiley, 2011
Descrizione fisica 1 online resource (384 p.)
Disciplina 620.001/51825
620.00151825
Altri autori (Persone) BabuškaIvo
Collana Wiley series in computational mechanics
Soggetto topico Finite element method
Numerical analysis
ISBN 1-283-40554-7
9786613405548
1-119-99348-2
1-119-99382-2
1-119-99383-0
Classificazione TEC006000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to FiniteElement Analysis; Contents; About the Authors; Series Preface; Preface; 1 Introduction; 1.1 Numerical simulation; 1.1.1 Conceptualization; 1.1.2 Validation; 1.1.3 Discretization; 1.1.4 Verification; 1.1.5 Decision-making; 1.2 Why is numerical accuracy important?; 1.2.1 Application of design rules; 1.2.2 Formulation of design rules; 1.3 Chapter summary; 2 An outline of the finite element method; 2.1 Mathematical models in one dimension; 2.1.1 The elastic bar; 2.1.2 Conceptualization; 2.1.3 Validation; 2.1.4 The scalar elliptic boundary value problem in one dimension
2.2 Approximate solution2.2.1 Basis functions; 2.3 Generalized formulation in one dimension; 2.3.1 Essential boundary conditions; 2.3.2 Neumann boundary conditions; 2.3.3 Robin boundary conditions; 2.4 Finite element approximations; 2.4.1 Error measures and norms; 2.4.2 The error of approximation in the energy norm; 2.5 FEM in one dimension; 2.5.1 The standard element2.5.1 The standard element; 2.5.2 The standard polynomial space; 2.5.3 Finite element spaces; 2.5.4 Computation of the coefficient matrices; 2.5.5 Computation of the right hand side vector; 2.5.6 Assembly
2.5.7 Treatment of the essential boundary conditions2.5.8 Solution; 2.5.9 Post-solution operations; 2.6 Properties of the generalized formulation; 2.6.1 Uniqueness; 2.6.2 Potential energy; 2.6.3 Error in the energy norm; 2.6.4 Continuity; 2.6.5 Convergence in the energy norm; 2.7 Error estimation based on extrapolation; 2.7.1 The root-mean-square measure of stress; 2.8 Extraction methods; 2.9 Laboratory exercises; 2.10 Chapter summary; 3 Formulation of mathematical models; 3.1 Notation; 3.2 Heat conduction; 3.2.1 The differential equation; 3.2.2 Boundary and initial conditions
3.2.3 Symmetry, antisymmetry and periodicity3.2.4 Dimensional reduction; 3.3 The scalar elliptic boundary value problem; 3.4 Linear elasticity; 3.4.1 The Navier equations; 3.4.2 Boundary and initial conditions; 3.4.3 Symmetry, antisymmetry and periodicity; 3.4.4 Dimensional reduction; 3.5 Incompressible elastic materials; 3.6 Stokes' flow; 3.7 The hierarchic view of mathematical models; 3.8 Chapter summary; 4 Generalized formulations; 4.1 The scalar elliptic problem; 4.1.1 Continuity; 4.1.2 Existence; 4.1.3 Approximation by the finite element method; 4.2 The principle of virtual work
4.3 Elastostatic problems4.3.1 Uniqueness; 4.3.2 The principle of minimum potential energy; 4.4 Elastodynamic models; 4.4.1 Undamped free vibration; 4.5 Incompressible materials; 4.5.1 The saddle point problem; 4.5.2 Poisson's ratio locking; 4.5.3 Solvability; 4.6 Chapter summary; 5 Finite element spaces; 5.1 Standard elements in two dimensions; 5.2 Standard polynomial spaces; 5.2.1 Trunk spaces; 5.2.2 Product spaces; 5.3 Shape functions; 5.3.1 Lagrange shape functions; 5.3.2 Hierarchic shape functions; 5.4 Mapping functions in two dimensions; 5.4.1 Isoparametric mapping
5.4.2 Mapping by the blending function method
Record Nr. UNINA-9910821005403321
Szabo B. A (Barna Aladar), <1935->  
Chichester, West Sussex, : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Nonlinear Finite Element Analysis [[electronic resource] /] / by Nam-Ho Kim
Introduction to Nonlinear Finite Element Analysis [[electronic resource] /] / by Nam-Ho Kim
Autore Kim Nam-Ho
Edizione [1st ed. 2015.]
Pubbl/distr/stampa New York, NY : , : Springer US : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (443 p.)
Disciplina 620.00151825
Soggetto topico Mechanics
Mechanics, Applied
Computer mathematics
Theoretical and Applied Mechanics
Solid Mechanics
Computational Mathematics and Numerical Analysis
ISBN 1-4419-1746-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preliminary concepts -- Nonlinear Finite Element Analysis Procedure -- Finite Element Analysis for Nonlinear Elastic Systems -- Finite Element Analysis for Elastoplastic Problems -- Finite Element Analysis for Contact Problems. .
Record Nr. UNINA-9910299666003321
Kim Nam-Ho  
New York, NY : , : Springer US : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Autore Cottrell J. Austin
Pubbl/distr/stampa Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Descrizione fisica 1 online resource (355 p.)
Disciplina 620.001
620.00151825
Altri autori (Persone) HughesThomas J. R
BazilevsYuri
Soggetto topico Finite element method - Data processing
Spline theory - Data processing
Isogeometric analysis - Data processing
Computer-aided design
ISBN 1-282-25947-4
9786612259470
0-470-74908-3
0-470-74909-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ISOGEOMETRICANALYSIS; Contents; Preface; 1 From CAD and FEA to Isogeometric Analysis: An Historical Perspective; 1.1 Introduction; 1.1.1 The need for isogeometric analysis; 1.1.2 Computational geometry; 1.2 The evolution of FEA basis functions; 1.3 The evolution of CAD representations; 1.4 Things you need to get used to in order to understand NURBS-based isogeometric analysis; Notes; 2 NURBS as a Pre-analysis Tool: Geometric Design and Mesh Generation; 2.1 B-splines; 2.1.1 Knot vectors; 2.1.2 Basis functions; 2.1.3 B-spline geometries; 2.1.4 Refinement; 2.2 Non-Uniform Rational B-Splines
2.2.1 The geometric point of view2.2.2 The algebraic point of view; 2.3 Multiple patches; 2.4 Generating a NURBS mesh: a tutorial; 2.4.1 Preliminary considerations; 2.4.2 Selection of polynomial orders; 2.4.3 Selection of knot vectors; 2.4.4 Selection of control points; 2.5 Notation; Appendix 2.A: Data for the bent pipe; Notes; 3 NURBS as a Basis for Analysis: Linear Problems; 3.1 The isoparametric concept; 3.1.1 Defining functions on the domain; 3.2 Boundary value problems (BVPs); 3.3 Numerical methods; 3.3.1 Galerkin; 3.3.2 Collocation; 3.3.3 Least-squares; 3.3.4 Meshless methods
3.4 Boundary conditions3.4.1 Dirichlet boundary conditions; 3.4.2 Neumann boundary conditions; 3.4.3 Robin boundary conditions; 3.5 Multiple patches revisited; 3.5.1 Local refinement; 3.5.2 Arbitrary topologies; 3.6 Comparing isogeometric analysis with classical finite element analysis; 3.6.1 Code architecture; 3.6.2 Similarities and differences; Appendix 3.A: Shape function routine; Appendix 3.B: Error estimates; Notes; 4 Linear Elasticity; 4.1 Formulating the equations of elastostatics; 4.1.1 Strong form; 4.1.2 Weak form; 4.1.3 Galerkin's method; 4.1.4 Assembly
4.2 Infinite plate with circular hole under constant in-plane tension4.3 Thin-walled structures modeled as solids; 4.3.1 Thin cylindrical shell with fixed ends subjected to constant internal pressure; 4.3.2 The shell obstacle course; 4.3.3 Hyperboloidal shell; 4.3.4 Hemispherical shell with a stiffener; Appendix 4.A: Geometrical data for the hemispherical shell; Appendix 4.B: Geometrical data for a cylindrical pipe; Appendix 4.C: Element assembly routine; Notes; 5 Vibrations andWave Propagation; 5.1 Longitudinal vibrations of an elastic rod; 5.1.1 Formulating the problem
5.1.2 Results: NURBS vs. FEA5.1.3 Analytically computing the discrete spectrum; 5.1.4 Lumped mass approaches; 5.2 Rotation-free analysis of the transverse vibrations of a Bernoulli-Euler beam; 5.3 Transverse vibrations of an elastic membrane; 5.3.1 Linear and nonlinear parameterizations revisited; 5.3.2 Formulation and results; 5.4 Rotation-free analysis of the transverse vibrations of a Poisson-Kirchhoff plate; 5.5 Vibrations of a clamped thin circular plate using three-dimensional solid elements ̄B; 5.5.1 Formulating the problem; 5.5.2 Results; 5.6 The NASA aluminum testbed cylinder
5.7 Wave propagation
Record Nr. UNINA-9910139931603321
Cottrell J. Austin  
Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Autore Cottrell J. Austin
Pubbl/distr/stampa Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Descrizione fisica 1 online resource (355 p.)
Disciplina 620.001
620.00151825
Altri autori (Persone) HughesThomas J. R
BazilevsYuri
Soggetto topico Finite element method - Data processing
Spline theory - Data processing
Isogeometric analysis - Data processing
Computer-aided design
ISBN 1-282-25947-4
9786612259470
0-470-74908-3
0-470-74909-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ISOGEOMETRICANALYSIS; Contents; Preface; 1 From CAD and FEA to Isogeometric Analysis: An Historical Perspective; 1.1 Introduction; 1.1.1 The need for isogeometric analysis; 1.1.2 Computational geometry; 1.2 The evolution of FEA basis functions; 1.3 The evolution of CAD representations; 1.4 Things you need to get used to in order to understand NURBS-based isogeometric analysis; Notes; 2 NURBS as a Pre-analysis Tool: Geometric Design and Mesh Generation; 2.1 B-splines; 2.1.1 Knot vectors; 2.1.2 Basis functions; 2.1.3 B-spline geometries; 2.1.4 Refinement; 2.2 Non-Uniform Rational B-Splines
2.2.1 The geometric point of view2.2.2 The algebraic point of view; 2.3 Multiple patches; 2.4 Generating a NURBS mesh: a tutorial; 2.4.1 Preliminary considerations; 2.4.2 Selection of polynomial orders; 2.4.3 Selection of knot vectors; 2.4.4 Selection of control points; 2.5 Notation; Appendix 2.A: Data for the bent pipe; Notes; 3 NURBS as a Basis for Analysis: Linear Problems; 3.1 The isoparametric concept; 3.1.1 Defining functions on the domain; 3.2 Boundary value problems (BVPs); 3.3 Numerical methods; 3.3.1 Galerkin; 3.3.2 Collocation; 3.3.3 Least-squares; 3.3.4 Meshless methods
3.4 Boundary conditions3.4.1 Dirichlet boundary conditions; 3.4.2 Neumann boundary conditions; 3.4.3 Robin boundary conditions; 3.5 Multiple patches revisited; 3.5.1 Local refinement; 3.5.2 Arbitrary topologies; 3.6 Comparing isogeometric analysis with classical finite element analysis; 3.6.1 Code architecture; 3.6.2 Similarities and differences; Appendix 3.A: Shape function routine; Appendix 3.B: Error estimates; Notes; 4 Linear Elasticity; 4.1 Formulating the equations of elastostatics; 4.1.1 Strong form; 4.1.2 Weak form; 4.1.3 Galerkin's method; 4.1.4 Assembly
4.2 Infinite plate with circular hole under constant in-plane tension4.3 Thin-walled structures modeled as solids; 4.3.1 Thin cylindrical shell with fixed ends subjected to constant internal pressure; 4.3.2 The shell obstacle course; 4.3.3 Hyperboloidal shell; 4.3.4 Hemispherical shell with a stiffener; Appendix 4.A: Geometrical data for the hemispherical shell; Appendix 4.B: Geometrical data for a cylindrical pipe; Appendix 4.C: Element assembly routine; Notes; 5 Vibrations andWave Propagation; 5.1 Longitudinal vibrations of an elastic rod; 5.1.1 Formulating the problem
5.1.2 Results: NURBS vs. FEA5.1.3 Analytically computing the discrete spectrum; 5.1.4 Lumped mass approaches; 5.2 Rotation-free analysis of the transverse vibrations of a Bernoulli-Euler beam; 5.3 Transverse vibrations of an elastic membrane; 5.3.1 Linear and nonlinear parameterizations revisited; 5.3.2 Formulation and results; 5.4 Rotation-free analysis of the transverse vibrations of a Poisson-Kirchhoff plate; 5.5 Vibrations of a clamped thin circular plate using three-dimensional solid elements ̄B; 5.5.1 Formulating the problem; 5.5.2 Results; 5.6 The NASA aluminum testbed cylinder
5.7 Wave propagation
Record Nr. UNINA-9910830838703321
Cottrell J. Austin  
Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Isogeometric analysis [[electronic resource] ] : toward integration of CAD and FEA / / J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs
Autore Cottrell J. Austin
Pubbl/distr/stampa Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Descrizione fisica 1 online resource (355 p.)
Disciplina 620.001
620.00151825
Altri autori (Persone) HughesThomas J. R
BazilevsYuri
Soggetto topico Finite element method - Data processing
Spline theory - Data processing
Isogeometric analysis - Data processing
Computer-aided design
ISBN 1-282-25947-4
9786612259470
0-470-74908-3
0-470-74909-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ISOGEOMETRICANALYSIS; Contents; Preface; 1 From CAD and FEA to Isogeometric Analysis: An Historical Perspective; 1.1 Introduction; 1.1.1 The need for isogeometric analysis; 1.1.2 Computational geometry; 1.2 The evolution of FEA basis functions; 1.3 The evolution of CAD representations; 1.4 Things you need to get used to in order to understand NURBS-based isogeometric analysis; Notes; 2 NURBS as a Pre-analysis Tool: Geometric Design and Mesh Generation; 2.1 B-splines; 2.1.1 Knot vectors; 2.1.2 Basis functions; 2.1.3 B-spline geometries; 2.1.4 Refinement; 2.2 Non-Uniform Rational B-Splines
2.2.1 The geometric point of view2.2.2 The algebraic point of view; 2.3 Multiple patches; 2.4 Generating a NURBS mesh: a tutorial; 2.4.1 Preliminary considerations; 2.4.2 Selection of polynomial orders; 2.4.3 Selection of knot vectors; 2.4.4 Selection of control points; 2.5 Notation; Appendix 2.A: Data for the bent pipe; Notes; 3 NURBS as a Basis for Analysis: Linear Problems; 3.1 The isoparametric concept; 3.1.1 Defining functions on the domain; 3.2 Boundary value problems (BVPs); 3.3 Numerical methods; 3.3.1 Galerkin; 3.3.2 Collocation; 3.3.3 Least-squares; 3.3.4 Meshless methods
3.4 Boundary conditions3.4.1 Dirichlet boundary conditions; 3.4.2 Neumann boundary conditions; 3.4.3 Robin boundary conditions; 3.5 Multiple patches revisited; 3.5.1 Local refinement; 3.5.2 Arbitrary topologies; 3.6 Comparing isogeometric analysis with classical finite element analysis; 3.6.1 Code architecture; 3.6.2 Similarities and differences; Appendix 3.A: Shape function routine; Appendix 3.B: Error estimates; Notes; 4 Linear Elasticity; 4.1 Formulating the equations of elastostatics; 4.1.1 Strong form; 4.1.2 Weak form; 4.1.3 Galerkin's method; 4.1.4 Assembly
4.2 Infinite plate with circular hole under constant in-plane tension4.3 Thin-walled structures modeled as solids; 4.3.1 Thin cylindrical shell with fixed ends subjected to constant internal pressure; 4.3.2 The shell obstacle course; 4.3.3 Hyperboloidal shell; 4.3.4 Hemispherical shell with a stiffener; Appendix 4.A: Geometrical data for the hemispherical shell; Appendix 4.B: Geometrical data for a cylindrical pipe; Appendix 4.C: Element assembly routine; Notes; 5 Vibrations andWave Propagation; 5.1 Longitudinal vibrations of an elastic rod; 5.1.1 Formulating the problem
5.1.2 Results: NURBS vs. FEA5.1.3 Analytically computing the discrete spectrum; 5.1.4 Lumped mass approaches; 5.2 Rotation-free analysis of the transverse vibrations of a Bernoulli-Euler beam; 5.3 Transverse vibrations of an elastic membrane; 5.3.1 Linear and nonlinear parameterizations revisited; 5.3.2 Formulation and results; 5.4 Rotation-free analysis of the transverse vibrations of a Poisson-Kirchhoff plate; 5.5 Vibrations of a clamped thin circular plate using three-dimensional solid elements ̄B; 5.5.1 Formulating the problem; 5.5.2 Results; 5.6 The NASA aluminum testbed cylinder
5.7 Wave propagation
Record Nr. UNINA-9910841119903321
Cottrell J. Austin  
Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : J. Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Isogeometric analysis : toward integration of CAD and FEA / J. Austin Cottrell, Thomas J. R. Hughes, Yuri Bazilevs
Isogeometric analysis : toward integration of CAD and FEA / J. Austin Cottrell, Thomas J. R. Hughes, Yuri Bazilevs
Autore Cottrell, J. Austen
Pubbl/distr/stampa Chichester, : Wiley, 2009
Descrizione fisica XVI, 335 p. : ill. ; 25 cm.
Disciplina 620.001
620.00151825
Altri autori (Persone) Hughes, Thomas J. R.
Bazilevs, Yuri
Soggetto topico Metodo degli elementi finiti - Applicazioni all'ingegneria
Elaboratori elettronici - Impiego nella progettazione
ISBN 9780470748732
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISANNIO-PUV1182828
Cottrell, J. Austen  
Chichester, : Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. del Sannio
Opac: Controlla la disponibilità qui
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Autore Frey Pascal Jean
Edizione [2nd ed.]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (850 p.)
Disciplina 620.001/51825
620.00151825
Altri autori (Persone) GeorgePaul L
Collana ISTE
Soggetto topico Finite element method
Numerical grid generation (Numerical analysis)
Triangulation
Soggetto genere / forma Electronic books.
ISBN 1-282-68783-2
9786612687839
0-470-61116-2
0-470-39379-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Mesh Generation; Contents; Introduction; Symbols and Notations; 1 General Definitions; 1.1 Covering-up and triangulation; 1.2 Mesh. mesh element. finite element mesh; 1.3 Mesh data structures; 1.4 Control space and neighborhood space; 1.5 Mesh quality and mesh optimality; 2 Basic Structures and Algorithms; 2.1 Why use data structures?; 2.2 Elementary structures; 2.3 Basic notions about complexity; 2.4 Sorting and searching; 2.5 One-dimensional data structures; 2.6 Two and three-dimensional data structures; 2.7 Topological data structures; 2.8 Robustness; 2.9 Optimality of an implementation
2.10 Examples of generic algorithms3 A Comprehensive Survey of Mesh Generation Methods; 3.1 Classes of methods; 3.2 Structured mesh generators; 3.2.1 Algebraic interpolation methods; 3.2.2 PDE-based methods; 3.2.3 Multiblock method; 3.2.4 Product method (topology-based method); 3.3 Unstructured mesh generators; 3.3.1 Spatial decomposition methods; 3.3.2 Advancing-front method; 3.3.3 Delaunay technique; 3.3.4 Tentative comparison of the three classical methods; 3.3.5 Other methods; 3.4 Surface meshing; 3.4.1 Mesh generation via a parametric space; 3.4.2 Implicit surface triangulation
3.4.3 Direct surface meshing3.4.4 Surface remeshing; 3.5 Mesh adaptation; 3.6 Parallel unstructured meshing; 4 Algebraic, PDE and Multiblock Methods; 4.1 Algebraic methods; 4.1.1 Trivial mapping functions; 4.1.2 Quadrilateral or triangular analogy; 4.1.3 Surface meshing; 4.1.4 Hexahedral, pentahedral or tetrahedral analogy; 4.1.5 Other algebraic methods and alternative methods; 4.2 PDE-based methods; 4.2.1 Basic ideas; 4.2.2 Surface meshing and complex shapes; 4.3 Multiblock method; 4.3.1 Basic ideas; 4.3.2 Partitioning the domain; 4.3.3 Computational issues and application examples
5 Quadtree-octree Based Methods5.1 Overview of spatial decomposition methods; 5.2 Classical tree-based mesh generation; 5.3 Governed tree-based method; 5.4 Other approaches; 5.5 Extensions; 6 Advancing-front Technique for Mesh Generation; 6.1 A classical advancing-front technique; 6.2 Governed advancing-front method; 6.3 Application examples; 6.4 Combined approaches; 6.5 Extensions; 7 Delaunay-based Mesh Generation Methods; 7.1 VoronoЈі diagram and Delaunay triangulation; 7.2 Constrained triangulation; 7.2.1 Maintaining a constrained entity; 7.2.2 Enforcing a constraint
7.3 Classical Delaunay meshing7.3.1 Simplified Delaunay type triangulation method; 7.3.2 Boundary integrity and domain identification; 7.3.3 Field point creation; 7.3.4 Optimization; 7.3.5 Practical issues; 7.3.6 Application examples; 7.4 Other methods; 7.4.1 Point insertion methods; 7.4.2 Field point creation; 7.4.3 Boundary enforcement; 7.5 Isotropic governed Delaunay meshing; 7.6 Extensions; 7.6.1 Weighted Delaunay triangulation; 7.6.2 Anisotropic Delaunay meshing; 7.6.3 Surface meshing; 8 Other Types of Mesh Generation Methods; 8.1 Product method; 8.2 Grid or pattern-based methods
8.3 Optimization-based method
Record Nr. UNINA-9910139624903321
Frey Pascal Jean  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Autore Frey Pascal Jean
Edizione [2nd ed.]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (850 p.)
Disciplina 620.001/51825
620.00151825
Altri autori (Persone) GeorgePaul L
Collana ISTE
Soggetto topico Finite element method
Numerical grid generation (Numerical analysis)
Triangulation
ISBN 1-282-68783-2
9786612687839
0-470-61116-2
0-470-39379-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Mesh Generation; Contents; Introduction; Symbols and Notations; 1 General Definitions; 1.1 Covering-up and triangulation; 1.2 Mesh. mesh element. finite element mesh; 1.3 Mesh data structures; 1.4 Control space and neighborhood space; 1.5 Mesh quality and mesh optimality; 2 Basic Structures and Algorithms; 2.1 Why use data structures?; 2.2 Elementary structures; 2.3 Basic notions about complexity; 2.4 Sorting and searching; 2.5 One-dimensional data structures; 2.6 Two and three-dimensional data structures; 2.7 Topological data structures; 2.8 Robustness; 2.9 Optimality of an implementation
2.10 Examples of generic algorithms3 A Comprehensive Survey of Mesh Generation Methods; 3.1 Classes of methods; 3.2 Structured mesh generators; 3.2.1 Algebraic interpolation methods; 3.2.2 PDE-based methods; 3.2.3 Multiblock method; 3.2.4 Product method (topology-based method); 3.3 Unstructured mesh generators; 3.3.1 Spatial decomposition methods; 3.3.2 Advancing-front method; 3.3.3 Delaunay technique; 3.3.4 Tentative comparison of the three classical methods; 3.3.5 Other methods; 3.4 Surface meshing; 3.4.1 Mesh generation via a parametric space; 3.4.2 Implicit surface triangulation
3.4.3 Direct surface meshing3.4.4 Surface remeshing; 3.5 Mesh adaptation; 3.6 Parallel unstructured meshing; 4 Algebraic, PDE and Multiblock Methods; 4.1 Algebraic methods; 4.1.1 Trivial mapping functions; 4.1.2 Quadrilateral or triangular analogy; 4.1.3 Surface meshing; 4.1.4 Hexahedral, pentahedral or tetrahedral analogy; 4.1.5 Other algebraic methods and alternative methods; 4.2 PDE-based methods; 4.2.1 Basic ideas; 4.2.2 Surface meshing and complex shapes; 4.3 Multiblock method; 4.3.1 Basic ideas; 4.3.2 Partitioning the domain; 4.3.3 Computational issues and application examples
5 Quadtree-octree Based Methods5.1 Overview of spatial decomposition methods; 5.2 Classical tree-based mesh generation; 5.3 Governed tree-based method; 5.4 Other approaches; 5.5 Extensions; 6 Advancing-front Technique for Mesh Generation; 6.1 A classical advancing-front technique; 6.2 Governed advancing-front method; 6.3 Application examples; 6.4 Combined approaches; 6.5 Extensions; 7 Delaunay-based Mesh Generation Methods; 7.1 VoronoЈі diagram and Delaunay triangulation; 7.2 Constrained triangulation; 7.2.1 Maintaining a constrained entity; 7.2.2 Enforcing a constraint
7.3 Classical Delaunay meshing7.3.1 Simplified Delaunay type triangulation method; 7.3.2 Boundary integrity and domain identification; 7.3.3 Field point creation; 7.3.4 Optimization; 7.3.5 Practical issues; 7.3.6 Application examples; 7.4 Other methods; 7.4.1 Point insertion methods; 7.4.2 Field point creation; 7.4.3 Boundary enforcement; 7.5 Isotropic governed Delaunay meshing; 7.6 Extensions; 7.6.1 Weighted Delaunay triangulation; 7.6.2 Anisotropic Delaunay meshing; 7.6.3 Surface meshing; 8 Other Types of Mesh Generation Methods; 8.1 Product method; 8.2 Grid or pattern-based methods
8.3 Optimization-based method
Record Nr. UNINA-9910830928503321
Frey Pascal Jean  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Mesh generation [[electronic resource] ] : application to finite elements / / Pascal Jean Frey, Paul-Louis George
Autore Frey Pascal Jean
Edizione [2nd ed.]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (850 p.)
Disciplina 620.001/51825
620.00151825
Altri autori (Persone) GeorgePaul L
Collana ISTE
Soggetto topico Finite element method
Numerical grid generation (Numerical analysis)
Triangulation
ISBN 1-282-68783-2
9786612687839
0-470-61116-2
0-470-39379-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Mesh Generation; Contents; Introduction; Symbols and Notations; 1 General Definitions; 1.1 Covering-up and triangulation; 1.2 Mesh. mesh element. finite element mesh; 1.3 Mesh data structures; 1.4 Control space and neighborhood space; 1.5 Mesh quality and mesh optimality; 2 Basic Structures and Algorithms; 2.1 Why use data structures?; 2.2 Elementary structures; 2.3 Basic notions about complexity; 2.4 Sorting and searching; 2.5 One-dimensional data structures; 2.6 Two and three-dimensional data structures; 2.7 Topological data structures; 2.8 Robustness; 2.9 Optimality of an implementation
2.10 Examples of generic algorithms3 A Comprehensive Survey of Mesh Generation Methods; 3.1 Classes of methods; 3.2 Structured mesh generators; 3.2.1 Algebraic interpolation methods; 3.2.2 PDE-based methods; 3.2.3 Multiblock method; 3.2.4 Product method (topology-based method); 3.3 Unstructured mesh generators; 3.3.1 Spatial decomposition methods; 3.3.2 Advancing-front method; 3.3.3 Delaunay technique; 3.3.4 Tentative comparison of the three classical methods; 3.3.5 Other methods; 3.4 Surface meshing; 3.4.1 Mesh generation via a parametric space; 3.4.2 Implicit surface triangulation
3.4.3 Direct surface meshing3.4.4 Surface remeshing; 3.5 Mesh adaptation; 3.6 Parallel unstructured meshing; 4 Algebraic, PDE and Multiblock Methods; 4.1 Algebraic methods; 4.1.1 Trivial mapping functions; 4.1.2 Quadrilateral or triangular analogy; 4.1.3 Surface meshing; 4.1.4 Hexahedral, pentahedral or tetrahedral analogy; 4.1.5 Other algebraic methods and alternative methods; 4.2 PDE-based methods; 4.2.1 Basic ideas; 4.2.2 Surface meshing and complex shapes; 4.3 Multiblock method; 4.3.1 Basic ideas; 4.3.2 Partitioning the domain; 4.3.3 Computational issues and application examples
5 Quadtree-octree Based Methods5.1 Overview of spatial decomposition methods; 5.2 Classical tree-based mesh generation; 5.3 Governed tree-based method; 5.4 Other approaches; 5.5 Extensions; 6 Advancing-front Technique for Mesh Generation; 6.1 A classical advancing-front technique; 6.2 Governed advancing-front method; 6.3 Application examples; 6.4 Combined approaches; 6.5 Extensions; 7 Delaunay-based Mesh Generation Methods; 7.1 VoronoЈі diagram and Delaunay triangulation; 7.2 Constrained triangulation; 7.2.1 Maintaining a constrained entity; 7.2.2 Enforcing a constraint
7.3 Classical Delaunay meshing7.3.1 Simplified Delaunay type triangulation method; 7.3.2 Boundary integrity and domain identification; 7.3.3 Field point creation; 7.3.4 Optimization; 7.3.5 Practical issues; 7.3.6 Application examples; 7.4 Other methods; 7.4.1 Point insertion methods; 7.4.2 Field point creation; 7.4.3 Boundary enforcement; 7.5 Isotropic governed Delaunay meshing; 7.6 Extensions; 7.6.1 Weighted Delaunay triangulation; 7.6.2 Anisotropic Delaunay meshing; 7.6.3 Surface meshing; 8 Other Types of Mesh Generation Methods; 8.1 Product method; 8.2 Grid or pattern-based methods
8.3 Optimization-based method
Record Nr. UNINA-9910841177703321
Frey Pascal Jean  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
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One-Dimensional Finite Elements [[electronic resource] ] : An Introduction to the FE Method / / by Andreas Öchsner, Markus Merkel
One-Dimensional Finite Elements [[electronic resource] ] : An Introduction to the FE Method / / by Andreas Öchsner, Markus Merkel
Autore Öchsner Andreas
Edizione [2nd ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (XXIII, 418 p.)
Disciplina 620.00151825
Soggetto topico Mechanics
Mechanics, Applied
Computer mathematics
Mechanical engineering
Solid Mechanics
Computational Mathematics and Numerical Analysis
Mechanical Engineering
ISBN 3-319-75145-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Motivation for the Finite Element Method -- Bar Element -- Torsion bar -- Bending Element -- General 1D Element -- Plane and Spatial Frame Structures -- Beam with Shear Contribution -- Beams of Composite Materials -- Nonlinear Elasticity -- Plasticity -- Stability (Buckling) -- Dynamics -- Special Elements.
Record Nr. UNINA-9910299954503321
Öchsner Andreas  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui