Interval Finite Element Method with MATLAB - 1st Edition - ISBN: 9780128129739, 9780128129746

Interval Finite Element Method with MATLAB

1st Edition

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Authors: Sukanta Nayak Snehashish Chakraverty
Paperback ISBN: 9780128129739
eBook ISBN: 9780128129746
Imprint: Academic Press
Published Date: 24th January 2018
Page Count: 168
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Description

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.

Key Features

  • 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

Readership

MSc and Researchers in civil, mechanical, aerospace engineering and also in areas such as mathematics, applied and industrial mathematics, physics etc. along with uncertainties

Table of Contents

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

Details

No. of pages:
168
Language:
English
Copyright:
© Academic Press 2018
Published:
24th January 2018
Imprint:
Academic Press
Paperback ISBN:
9780128129739
eBook ISBN:
9780128129746

About the Author

Sukanta Nayak

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).

Affiliations and Expertise

Assistant Professor, Department of Mathematics, Amrita School of Engineering, Coimbatore, India

Snehashish Chakraverty

Prof. S. Chakraverty has 29 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha as a full (HAG) Professor. Prior to this he was with CSIR-Central Building Research Institute, Roorkee, India. He has authored/co-authored 14 books, with others in progress, and published more than 300 research papers and is on several editorial boards. He was the President of the Section of Mathematical sciences (including Statistics) of Indian Science Congress (2015-2016) and was the Vice President of the Orissa Mathematical Society (2011-2013). Prof. Chakraverty is the recipient of numerous awards and has undertaken around 16 research projects as Principle Investigator funded by international and national agencies. His present research area includes Differential Equations, Soft Computing and Machine Intelligence, Numerical Analysis, Mathematical Modeling, Uncertainty Modelling, Vibration and Inverse Vibration Problems.

Affiliations and Expertise

Professor, Department of Mathematics, National Institute of Technology Rourkela, Odisha, India

Awards

"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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