Stochastic Finite Element Methods - An Introduction

The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.

List of contents

Stochastic processes.-  Representation of a stochastic process.- Stochastic finite element method.- Reliability analysis.

Summary

The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.

Additional text

“This book stands as an introduction to stochastic finite elements, with applications to the estimation of the responses variability and the reliability of stochastic systems. … Throughout this useful book, the reader (for example, a mathematician or an engineer) will find interesting numerical examples and exercises.” (Dimitra C. Antonopoulou, Mathematical Reviews, October, 2018)

Report

"This book stands as an introduction to stochastic finite elements, with applications to the estimation of the responses variability and the reliability of stochastic systems. ... Throughout this useful book, the reader (for example, a mathematician or an engineer) will find interesting numerical examples and exercises." (Dimitra C. Antonopoulou, Mathematical Reviews, October, 2018)

Product details

• Authors: Dimitris G Giovanis, Dimitris G. Giovanis, Vissario Papadopoulos, Vissarion Papadopoulos
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2018
• EAN: 9783319878119
• ISBN: 978-3-31-987811-9
• No. of pages: 138
• Dimensions: 156 mm x 10 mm x 239 mm
• Weight: 254 g
• Illustrations: XXI, 138 p. 53 illus., 26 illus. in color.
• Series: Mathematical Engineering
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; B, computer science, engineering, Mathematical and Computational Engineering, Probability Theory and Stochastic Processes, Solid Mechanics, Mechanics, Mechanics, Applied, Probability & statistics, Probabilities, Stochastics, Probability Theory, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Maths for engineers, Computer simulation, Computer modelling & simulation, Simulation and Modeling