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Meshfree and Particle Methods : Fundamentals and Applications
| Meshfree and Particle Methods : Fundamentals and Applications |
| Autore | Belytschko Ted |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newark : , : John Wiley & Sons, Incorporated, , 2023 |
| Descrizione fisica | 1 online resource (349 pages) |
| Disciplina | 518.2 |
| Altri autori (Persone) |
ChenJ. S
HillmanMichael |
| Soggetto topico |
Meshfree methods (Numerical analysis)
Particle methods (Numerical analysis) |
| ISBN |
9781119811138
1119811139 9781119811145 1119811147 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Glossary of Notation -- Chapter 1 Introduction to Meshfree and Particle Methods -- 1.1 Definition of Meshfree Method -- 1.2 Key Approximation Characteristics -- 1.3 Meshfree Computational Model -- 1.4 A Demonstration of Meshfree Analysis -- 1.5 Classes of Meshfree Methods -- 1.6 Applications of Meshfree Methods -- References -- Chapter 2 Preliminaries: Strong and Weak Forms of Diffusion, Elasticity, and Solid Continua -- 2.1 Diffusion Equation -- 2.1.1 Strong Form of the Diffusion Equation -- 2.1.2 The Variational Principle for the Diffusion Equation -- 2.1.2.1 The Standard Variational Principle -- 2.1.2.2 The Variational Equation -- 2.1.2.3 Equivalence of the Variational Equation and the Strong Form -- 2.1.3 Constrained Variational Principles for the Diffusion Equation -- 2.1.3.1 The Penalty Method -- 2.1.3.2 The Lagrange Multiplier Method -- 2.1.3.3 Nitsche's Method -- 2.1.4 Weak Form of the Diffusion Equation by the Method of Weighted Residuals -- 2.2 Elasticity -- 2.2.1 Strong Form of Elasticity -- 2.2.2 The Variational Principle for Elasticity -- 2.2.3 Constrained Variational Principles for Elasticity |
| Record Nr. | UNINA-9911019903203321 |
Belytschko Ted
|
||
| Newark : , : John Wiley & Sons, Incorporated, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover
| Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 531 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Mechanics, Analytic
Mechanics, Applied - Mathematical models Particle methods (Numerical analysis) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-92449-0
9786611924492 981-277-288-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion
1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics 2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids 2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods 3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q} 3.9 SPAM Equation of Motion and Energy Equation |
| Record Nr. | UNINA-9910451553503321 |
|
Hoover William G (William Graham), <1936->
|
||
| Singapore, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover
| Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 531 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Mechanics, Analytic
Mechanics, Applied - Mathematical models Particle methods (Numerical analysis) |
| ISBN |
1-281-92449-0
9786611924492 981-277-288-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion
1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics 2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids 2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods 3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q} 3.9 SPAM Equation of Motion and Energy Equation |
| Record Nr. | UNINA-9910784969003321 |
|
Hoover William G (William Graham), <1936->
|
||
| Singapore, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smoothed particle hydrodynamics [[electronic resource] ] : a meshfree particle method / / G.R. Liu and M.B. Liu
| Smoothed particle hydrodynamics [[electronic resource] ] : a meshfree particle method / / G.R. Liu and M.B. Liu |
| Autore | Liu G. R (Gui-Rong) |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (473 p.) |
| Disciplina | 532.5 |
| Altri autori (Persone) | LiuM. B |
| Soggetto topico |
Meshfree methods (Numerical analysis)
Particle methods (Numerical analysis) Hydrodynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87680-1
9786611876807 981-256-440-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; The Authors; Contents; Chapter 1 Introduction; Chapter 2 SPH Concept and Essential Formulation; Chapter 3 Construction of Smoothing Functions; Chapter 4 SPH for General Dynamic Fluid Flows; Chapter 5 Discontinuous SPH (DSPH); Chapter 6 SPH for Simulating Explosions; Chapter 7 SPH for Underwater Explosion Shock Simulation; Chapter 8 SPH for Hydrodynamics with Material Strength; Chapter 9 Coupling SPH with Molecular Dynamics for Multiple Scale Simulations; Chapter 10 Computer Implementation of SPH and a 3D SPH Code; Bibliography; Index |
| Record Nr. | UNINA-9910449885603321 |
|
Liu G. R (Gui-Rong)
|
||
| Singapore ; ; London, : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smoothed particle hydrodynamics [[electronic resource] ] : a meshfree particle method / / G.R. Liu and M.B. Liu
| Smoothed particle hydrodynamics [[electronic resource] ] : a meshfree particle method / / G.R. Liu and M.B. Liu |
| Autore | Liu G. R (Gui-Rong) |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (473 p.) |
| Disciplina | 532.5 |
| Altri autori (Persone) | LiuM. B |
| Soggetto topico |
Meshfree methods (Numerical analysis)
Particle methods (Numerical analysis) Hydrodynamics |
| ISBN |
1-281-87680-1
9786611876807 981-256-440-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; The Authors; Contents; Chapter 1 Introduction; Chapter 2 SPH Concept and Essential Formulation; Chapter 3 Construction of Smoothing Functions; Chapter 4 SPH for General Dynamic Fluid Flows; Chapter 5 Discontinuous SPH (DSPH); Chapter 6 SPH for Simulating Explosions; Chapter 7 SPH for Underwater Explosion Shock Simulation; Chapter 8 SPH for Hydrodynamics with Material Strength; Chapter 9 Coupling SPH with Molecular Dynamics for Multiple Scale Simulations; Chapter 10 Computer Implementation of SPH and a 3D SPH Code; Bibliography; Index |
| Record Nr. | UNINA-9910783225103321 |
|
Liu G. R (Gui-Rong)
|
||
| Singapore ; ; London, : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tracking with particle filter for high-dimensional observation and state spaces / / Séverine Dubuisson
| Tracking with particle filter for high-dimensional observation and state spaces / / Séverine Dubuisson |
| Autore | Dubuisson Séverine |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (223 p.) |
| Disciplina | 006.37 |
| Collana | Digital Signal and Image Processing Series |
| Soggetto topico |
Computer vision - Mathematical models
Pattern recognition systems Particle methods (Numerical analysis) |
| ISBN |
1-119-05405-2
1-119-00486-1 1-119-05391-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Notations; Introduction; 1: Visual Tracking by Particle Filtering; 1.1. Introduction; 1.2. Theoretical models; 1.2.1. Recursive Bayesian filtering; 1.2.2. Sequential Monte-Carlo methods; 1.2.2.1. Importance sampling; 1.2.2.2. Particle filter; 1.2.3. Application to visual tracking; 1.2.3.1. State model; 1.2.3.2. Observation model; 1.2.3.3. Importance function; 1.2.3.4. Likelihood function; 1.2.3.5. Resampling methods; 1.3. Limits and challenges; 1.4. Scientific position; 1.5. Managing large sizes in particle filtering; 1.6. Conclusion
2: Data Representation Models2.1. Introduction; 2.2. Computation of the likelihood function; 2.2.1. Exploitation of the spatial redundancy; 2.2.1.1. Optimal order for histogram computation; 2.2.1.2. Optimization of the integral histogram; 2.2.2. Exploitation of the temporal redundancy; 2.2.2.1. Temporal histogram; 2.2.2.2. Incremental distance between histograms; 2.3. Representation of complex information; 2.3.1. Representation of observations for movement detection, appearances and disappearances; 2.3.2. Representation of deformations; 2.3.3. Multifeature representation 2.3.3.1. Multimodal tracking2.3.3.2. Multifragment tracking; 2.3.3.3. Multiappearance tracking; 2.4. Conclusion; 3: Tracking Models That Focus on the State Space; 3.1. Introduction; 3.2. Data association methods for multi-object tracking; 3.2.1. Particle filter with adaptive classification; 3.2.2. Energetic filter for data association; 3.3. Introducing fuzzy information into the particle filter; 3.3.1. Fuzzy representation; 3.3.2. Fuzzy spatial relations; 3.3.3. Integration of fuzzy spatial relations into the particle filter; 3.3.3.1. Application to tracking an object with erratic movements 3.3.3.2. Application to multi-object tracking3.3.3.3. Application to tracking shapes; 3.4. Conjoint estimation of dynamic and static parameters; 3.5. Conclusion; 4: Models of Tracking by Decomposition of the State Space; 4.1. Introduction; 4.2. Ranked partitioned sampling; 4.3. Weighted partitioning with permutation of sub-particles; 4.3.1. Permutation of sub-samples; 4.3.2. Decrease the number of resamplings; 4.3.3. General algorithm and results; 4.4. Combinatorial resampling; 4.5. Conclusion; 5: Research Perspectives in Tracking and Managing Large Spaces 5.1. Tracking for behavioral analysis: toward finer tracking of the "future" and the "now"5.2. Tracking for event detection: toward a top-down model; 5.3. Tracking to measure social interactions; Bibliography; Index |
| Record Nr. | UNINA-9910132298103321 |
|
Dubuisson Séverine
|
||
| London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tracking with particle filter for high-dimensional observation and state spaces / / Séverine Dubuisson
| Tracking with particle filter for high-dimensional observation and state spaces / / Séverine Dubuisson |
| Autore | Dubuisson Séverine |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (223 p.) |
| Disciplina | 006.37 |
| Collana | Digital Signal and Image Processing Series |
| Soggetto topico |
Computer vision - Mathematical models
Pattern recognition systems Particle methods (Numerical analysis) |
| ISBN |
1-119-05405-2
1-119-00486-1 1-119-05391-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Notations; Introduction; 1: Visual Tracking by Particle Filtering; 1.1. Introduction; 1.2. Theoretical models; 1.2.1. Recursive Bayesian filtering; 1.2.2. Sequential Monte-Carlo methods; 1.2.2.1. Importance sampling; 1.2.2.2. Particle filter; 1.2.3. Application to visual tracking; 1.2.3.1. State model; 1.2.3.2. Observation model; 1.2.3.3. Importance function; 1.2.3.4. Likelihood function; 1.2.3.5. Resampling methods; 1.3. Limits and challenges; 1.4. Scientific position; 1.5. Managing large sizes in particle filtering; 1.6. Conclusion
2: Data Representation Models2.1. Introduction; 2.2. Computation of the likelihood function; 2.2.1. Exploitation of the spatial redundancy; 2.2.1.1. Optimal order for histogram computation; 2.2.1.2. Optimization of the integral histogram; 2.2.2. Exploitation of the temporal redundancy; 2.2.2.1. Temporal histogram; 2.2.2.2. Incremental distance between histograms; 2.3. Representation of complex information; 2.3.1. Representation of observations for movement detection, appearances and disappearances; 2.3.2. Representation of deformations; 2.3.3. Multifeature representation 2.3.3.1. Multimodal tracking2.3.3.2. Multifragment tracking; 2.3.3.3. Multiappearance tracking; 2.4. Conclusion; 3: Tracking Models That Focus on the State Space; 3.1. Introduction; 3.2. Data association methods for multi-object tracking; 3.2.1. Particle filter with adaptive classification; 3.2.2. Energetic filter for data association; 3.3. Introducing fuzzy information into the particle filter; 3.3.1. Fuzzy representation; 3.3.2. Fuzzy spatial relations; 3.3.3. Integration of fuzzy spatial relations into the particle filter; 3.3.3.1. Application to tracking an object with erratic movements 3.3.3.2. Application to multi-object tracking3.3.3.3. Application to tracking shapes; 3.4. Conjoint estimation of dynamic and static parameters; 3.5. Conclusion; 4: Models of Tracking by Decomposition of the State Space; 4.1. Introduction; 4.2. Ranked partitioned sampling; 4.3. Weighted partitioning with permutation of sub-particles; 4.3.1. Permutation of sub-samples; 4.3.2. Decrease the number of resamplings; 4.3.3. General algorithm and results; 4.4. Combinatorial resampling; 4.5. Conclusion; 5: Research Perspectives in Tracking and Managing Large Spaces 5.1. Tracking for behavioral analysis: toward finer tracking of the "future" and the "now"5.2. Tracking for event detection: toward a top-down model; 5.3. Tracking to measure social interactions; Bibliography; Index |
| Record Nr. | UNINA-9910828345603321 |
|
Dubuisson Séverine
|
||
| London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
