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Stochastic Finite Element Methods

An Introduction

  • Book
  • © 2018

Overview

Authors:
  1. Vissarion Papadopoulos

    1. School of Civil Engineering, National Technical University of Athens, Athens, Greece

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    You can also search for this author in PubMed   Google Scholar

  2. Dimitris G. Giovanis

    1. School of Civil Engineering, National Technical University of Athens, Athens, Greece

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides a self-contained treatment of stochastic finite element methods
  • Enables practicing engineers to better understand stochastic and reliability analysis of structural systems
  • Includes exercises and open source programing code
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematical Engineering (MATHENGIN)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Stochastic Processes

    • Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 1-26

  3. Representation of a Stochastic Process

    • Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 27-45

  4. Stochastic Finite Element Method

    • Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 47-70

  5. Reliability Analysis

    • Vissarion Papadopoulos, Dimitris G. Giovanis
    Pages 71-98

  6. Back Matter

    Pages 99-138
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Keywords

About this book

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.

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)

Authors and Affiliations

  • School of Civil Engineering, National Technical University of Athens, Athens, Greece

    Vissarion Papadopoulos, Dimitris G. Giovanis

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