Computational Structural Analysis and Finite Element Methods

  • A.┬áKaveh

About this book

Introduction

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

Keywords

Application of Graph Theory for Efficient Analysis Finite Element Analysis Meta-heuristic Algorithms

Authors and affiliations

  • A.┬áKaveh
    • 1
  1. 1.Centre of Excellence for Fundamental Studies in Structural Engineering, School of Civil EngineeringIran University of Science and TechnologyTehranIran

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-02964-1
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-02963-4
  • Online ISBN 978-3-319-02964-1
  • About this book