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.
- Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data
- Describes the interval finite element method in detail
- Gives step-by-step instructions for how to use MATLAB code for IFEM
- Provides a range of examples of IFEM in use, with accompanying MATLAB codes
1. Interval Arithmetic 2. Interval Finite Element Method 3. Preliminaries of MATLAB 4. One Dimensional 5. MATLAB code for One Dimensional Interval Finite Element 6. Two Dimensional Interval Finite Element 7. MATLAB Code for Two Dimensional Interval Finite Element 8. Three Dimensional 9. MATLAB Code for Three Dimensional Interval Finite Element
Dr. S Nayak's research interests include Numerical Analysis, Linear Algebra, Fuzzy Finite Element Method, Fuzzy Heat and Neutron Diffusion Equations, Fuzzy Stochastic Differential Equations and Wavelet Analysis. He has co-authored one book to date, several book chapters and numerous articles in academic journals.
S Chakraverty is a recipient of the Indian Science Congress Association's Platinum Jubilee Lecture Award, and the Editor in Chief of the International Journal of Fuzzy Computation and Modelling. His research is concerned with the application of numerical modelling to a broad range of problems, and he has been widely published both books and journal articles.