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Interval finite element method with MATLAB /

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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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Bibliographic Details
Main Author: Nayak, Sukanta
Corporate Author: ScienceDirect (Online service)
Other Authors: Chakraverty, Snehashish
Format: eBook
Language:English
Published: San Diego : Elsevier Science, 2018.
Subjects:
MATLAB.
MATLAB
Finite element method.
Méthode des éléments finis.
MATHEMATICS > Numerical Analysis.
Finite element method
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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® Functions3.3. 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 Element5.2. 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 Element7.2.1. 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 Element9.2. 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