Interval finite element method with MATLAB

Interval finite element method with MATLAB

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the...

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Detalles Bibliográficos
Otros Autores: Sukanta, Nayak, author (author), Chakraverty, Snehashish, author
Formato: Libro electrónico
Idioma:Inglés
Publicado: London, England : Academic Press 2018.
Edición:First edition
Materias:
MATLAB.
Finite element method > Computer programs.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009630694706719
Tabla de Contenidos:
  • Front Cover
  • Interval Finite Element Method With MATLAB®
  • Copyright
  • Contents
  • Author Biographies
  • Preface
  • Acknowledgments
  • Chapter 1: Interval Arithematic
  • 1.1. Truncation Error
  • 1.2. Round-Off Error
  • 1.3. Degenerate Intervals
  • 1.4. Intersection, Union, and Interval Hull
  • 1.5. Width, Absolute Value, Midpoint
  • 1.6. Interval Arithmetic
  • References
  • Chapter 2: Interval Finite Element Method
  • 2.1. A Brief Overview
  • 2.2. Finite Element Method (FEM)
  • 2.3. Hybridization of Interval and Finite Element Method
  • References
  • Chapter 3: Preliminaries of MATLAB®
  • 3.1. Beginning With MATLAB®
  • 3.2. Matrices, Operations, and Basic MATLAB® Functions
  • 3.3. M-Files, Logical-Relational Operators, and IF Statements
  • 3.4. Functions in MATLAB®
  • 3.5. FOR and WHILE Loops in MATLAB®
  • 3.5.1. FOR Loops
  • 3.5.2. WHILE Loops
  • 3.6. Graphics in MATLAB®
  • 3.7. Efficiency of Algorithms in MATLAB®
  • 3.8. Useful Functions and Commands in MATLAB®
  • References
  • Chapter 4: One-Dimensional Interval Finite Element
  • 4.1. Spring Element
  • 4.2. Linear Bar Element
  • 4.3. Quadratic Bar Element
  • References
  • Chapter 5: MATLAB® Code for One-Dimensional Interval Finite Element
  • 5.1. MATLAB® Code for Spring Element
  • 5.1.1. MATLAB® Functions for Spring Element
  • 5.2. MATLAB® Code for Linear Bar Element
  • 5.2.1. MATLAB® Functions for Linear Bar Element
  • 5.3. MATLAB® Code for Quadratic Bar Element
  • 5.3.1. MATLAB® Functions for Quadratic Bar Element
  • References
  • Chapter 6: Two-Dimensional Interval Finite Element
  • 6.1. Plane Truss Element
  • 6.2. Beam Element
  • 6.3. Plane Frame Element
  • 6.4. Linear Triangular Element
  • References
  • Chapter 7: MATLAB® Code for Two-Dimensional Interval Finite Element
  • 7.1. MATLAB® Code for Plane Truss Element
  • 7.1.1. MATLAB® Functions for Plane Truss Element.
  • 7.2. MATLAB® Code for Beam Element
  • 7.2.1. MATLAB® Functions for Beam Element
  • 7.3. MATLAB® Code for Plane Frame Element
  • 7.3.1. MATLAB® Functions for Plane Frame Element
  • 7.4. MATLAB® Code for Linear Triangular Element
  • 7.4.1. MATLAB® Functions for Linear Triangular Element
  • References
  • Chapter 8: Three-Dimensional Interval Finite Element
  • 8.1. Space Truss Element
  • 8.2. Space Frame Element
  • 8.3. Linear Tetrahedral Element
  • References
  • Chapter 9: MATLAB® Code for Three-Dimensional Interval Finite Element
  • 9.1. MATLAB® Code for Space Truss Element
  • 9.1.1. MATLAB® Functions for Space Truss Element
  • 9.2. MATLAB® Code for Space Frame Element
  • 9.2.1. MATLAB® Functions for Space Frame Element
  • 9.3. MATLAB® Code for Linear Tetrahedral Element
  • 9.3.1. MATLAB® Functions for Linear Tetrahedral Element
  • References
  • Index
  • Back Cover.

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