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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 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
MSc and Researchers in civil, mechanical, aerospace engineering and also in areas such as mathematics, applied and industrial mathematics, physics etc. along with uncertainties
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
- No. of pages:
- © Academic Press 2018
- 24th January 2018
- Academic Press
- Paperback ISBN:
- eBook ISBN:
Dr Sukanta Nayak is Assistant Professor in the Department of Mathematics, at the Amrita School of Engineering in Coimbatore, India. He previously held a postdoctoral research fellowship at the University of Johannesburg, South Africa, and received his Ph.D. in mathematics from the National Institute of Technology Rourkela, in India. His research interests include numerical analysis, linear algebra, fuzzy finite element method, fuzzy heat, neutron diffusion equations, fuzzy stochastic differential equations and wavelet analysis. He has published widely in the field, including as co-author of a book entitled Interval Finite Element Method with MATLAB, for Elsevier’s Academic Press (2018).
Assistant Professor, Department of Mathematics, Amrita School of Engineering, Coimbatore, India
Dr. Snehashish Chakraverty has 29 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), at the National Institute of Technology Rourkela, Odisha, India as a Full Professor. Prior to this he was with CSIR-Central Building Research Institute, Roorkee, India. He has a Ph.D. from IIT Roorkee in Computer Science. Thereafter he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, and visiting professor at the University of Johannesburg, South Africa. He has authored/co-authored 14 books, published 315 research papers in journals and conferences, and has four more books in development. Dr. Chakraverty is on the Editorial Boards of various International Journals, Book Series and Conferences. Prof. Chakraverty is the Chief Editor of the International Journal of Fuzzy Computation and Modelling (IJFCM), Associate Editor of Computational Methods in Structural Engineering, Frontiers in Built Environment, and is the Guest Editor for several other journals. He was the President of the Section of Mathematical sciences (including Statistics) of the Indian Science Congress. Prof. Chakraverty has undertaken around 16 research projects as Principle Investigator funded by international and national agencies. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy and Interval Computations), Numerical Analysis, Mathematical Modeling, Uncertainty Modelling, Vibration and Inverse Vibration Problems.
Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India
"This book explains how this uncertainty method can be incorporated into a MATLAB program using the finite element method. It provides simple examples to illustrate the IFEM method. ...Readers who use FEMs to generate models might be very interested int hsi emthod to handle uncertainty in model input parameters." -IEEE Electrical Insulation Magazine
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