# Interval Finite Element Method with MATLAB

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

Produk Detail:

• Author : Sukanta Nayak
• Pages : 168 pages
• ISBN : 0128129743
• Rating : 5/5 from 7 reviews

## Interval Finite Element Method with MATLAB • Author : Sukanta Nayak,Snehashish Chakraverty
• Release : 05 February 2018

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

## Interval Finite Element Method with MATLAB • Author : Sukanta Nayak,Snehashish Chakraverty
• Release : 24 January 2018

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

## Advanced Numerical and Semi-Analytical Methods for Differential Equations • Author : Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao
• Publisher : John Wiley & Sons
• Release : 20 March 2019

Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods

## Fundamentals of Optimization Techniques with Algorithms • Author : Sukanta Nayak
• Release : 25 August 2020

Optimization is a key concept in mathematics, computer science, and operations research, and is essential to the modeling of any system, playing an integral role in computer-aided design. Fundamentals of Optimization Techniques with Algorithms presents a complete package of various traditional and advanced optimization techniques along with a variety of example problems, algorithms and MATLAB© code optimization techniques, for linear and nonlinear single variable and multivariable models, as well as multi-objective and advanced optimization techniques. It presents both theoretical and

## Mathematical Methods in Interdisciplinary Sciences • Author : Snehashish Chakraverty
• Publisher : John Wiley & Sons
• Release : 15 June 2020

Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit

## Technological Transformation: A New Role For Human, Machines And Management • Author : Hanno Schaumburg,Vadim Korablev,Laszlo Ungvari
• Publisher : Springer Nature
• Release : 10 December 2020

This proceedings book contains 21 articles that arouse the greatest interest among experts from academia, industry and scientific experts in the area of the structural transformation of industrial and economic systems on a new technological base. V Scientific International Conference «Technological Transformation: A New Role for Human, Machines and Management (TT-2020)» was held on 16–18 September 2020 in St. Petersburg at the Peter the Great St. Petersburg Polytechnic University. The conference aimed to discuss the results of system studies on the key drivers

## Introduction to the Finite Element Method and Implementation with MATLAB • Author : Gang Li
• Publisher : Cambridge University Press
• Release : 30 July 2020

An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.

## Practical Numerical Mathematics With Matlab: A Workbook And Solutions • Author : Myron Mike Sussman
• Publisher : World Scientific
• Release : 28 July 2021

This workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise

## Introduction to Finite Element Analysis Using MATLAB® and Abaqus • Author : Amar Khennane
• Publisher : CRC Press
• Release : 10 June 2013

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are

## Pragmatic Introduction To The Finite Element Method For Thermal And Stress Analysis, A: With The Matlab Toolkit Sofea • Author : Petr Krysl
• Publisher : World Scientific Publishing Company
• Release : 23 October 2006

This textbook provides an accessible and self-contained description of the Galerkin finite element method for the two important models of continuum mechanics, transient heat conduction and elastodynamics, from formulation of the governing equations to implementation in Matlab.The coverage follows an intuitive approach: the salient features of each initial boundary value problem are reviewed, including a thorough description of the boundary conditions; the method of weighted residuals is applied to derive the discrete equations; and clear examples are introduced to

## Introduction to Finite and Spectral Element Methods Using MATLAB, Second Edition • Author : Constantine Pozrikidis
• Publisher : CRC Press
• Release : 20 June 2014

Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB®, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using the free online FSELIB library of MATLAB® functions and codes. With the book as a user guide, readers can immediately run the codes and graphically display solutions to a variety of elementary and advanced

## The Finite Element Method • Author : Darrell W. Pepper,Juan C. Heinrich
• Publisher : CRC Press
• Release : 11 April 2017

This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed

## Special Topics in Structural Dynamics, Volume 6 • Author : Nikolaos Dervilis
• Publisher : Springer
• Release : 28 March 2017

Special Topics in Structural Dynamics, Volume 6: Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics, 2017, the sixth volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Experimental Methods Analytical Methods General Dynamics & Modal Analysis General Dynamics & System Identification Damage Detection

## Uncertainty Quantification and Stochastic Modeling with Matlab • Author : Eduardo Souza de Cursi,Rubens Sampaio
• Publisher : Elsevier
• Release : 09 April 2015

Uncertainty Quantification (UQ) is a relatively new research area which describes the methods and approaches used to supply quantitative descriptions of the effects of uncertainty, variability and errors in simulation problems and models. It is rapidly becoming a field of increasing importance, with many real-world applications within statistics, mathematics, probability and engineering, but also within the natural sciences. Literature on the topic has up until now been largely based on polynomial chaos, which raises difficulties when considering different types of

## Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures • Author : George Deodatis,Bruce R. Ellingwood,Dan M. Frangopol
• Publisher : CRC Press
• Release : 10 February 2014

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str