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© 2018

Stochastic Finite Element Methods

An Introduction

Book

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 1-26
  3. Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 27-45
  4. Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 47-70
  5. Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 71-98
  6. Back Matter
    Pages 99-138

About this book

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.​

Keywords

Probability Theory Stochastic Processes Finite element method stochastic fem Computational mechanics Civil engineering Stochastic mechanics

Authors and affiliations

  1. 1.School of Civil EngineeringNational Technical University of AthensAthensGreece
  2. 2.School of Civil EngineeringNational Technical University of AthensAthensGreece

Bibliographic information

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Reviews

“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)