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 Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Author Biographies - p. vii 6. Preface - p. ix 7. Acknowledgments - p. xiii 8. Chapter 1: Interval Arithematic - p. xiii 9. Chapter 2: Interval Finite Element Method - p. 6 10. Chapter 3: Preliminaries of MATLAB® - p. 17 11. Chapter 4: One-Dimensional Interval Finite Element - p. 27 12. Chapter 5: MATLAB® Code for One-Dimensional Interval Finite Element - p. 45 13. Chapter 6: Two-Dimensional Interval Finite Element - p. 61 14. Chapter 7: MATLAB® Code for Two-Dimensional Interval Finite Element - p. 78 15. Chapter 8: Three-Dimensional Interval Finite Element - p. 104 16. Chapter 9: MATLAB® Code for Three-Dimensional Interval Finite Element - p. 118 17. Index - p. 151
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 Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Author Biographies - p. vii 6. Preface - p. ix 7. Acknowledgments - p. xiii 8. Chapter 1: Interval Arithematic - p. xiii 9. Chapter 2: Interval Finite Element Method - p. 6 10. Chapter 3: Preliminaries of MATLAB® - p. 17 11. Chapter 4: One-Dimensional Interval Finite Element - p. 27 12. Chapter 5: MATLAB® Code for One-Dimensional Interval Finite Element - p. 45 13. Chapter 6: Two-Dimensional Interval Finite Element - p. 61 14. Chapter 7: MATLAB® Code for Two-Dimensional Interval Finite Element - p. 78 15. Chapter 8: Three-Dimensional Interval Finite Element - p. 104 16. Chapter 9: MATLAB® Code for Three-Dimensional Interval Finite Element - p. 118 17. Index - p. 151
