Surveys and Tutorials in the Applied Mathematical Sciences

Multiscale Finite Element Methods

Theory and Applications

Authors: Efendiev, Yalchin, Hou, Thomas Y.

  • Simple introductions and descriptions at the beginning of each chapter
  • Short, user-friendly narrative approach suitable for engineers
  • Combines practical introduction, numerical results and analysis of multiscale finite element methods
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eBook $39.99
price for USA (gross)
  • ISBN 978-0-387-09496-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-0-387-09495-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations. The book is self-contained, starts from the basic concepts and proceeds to the latest developments in the field.

Each chapter of the book starts with a simple introduction and the description of the proposed methods as well as with motivating examples. Numerical examples demonstrating the significance of the proposed methods are presented in each chapter. The book addresses mathematical and numerical issues in multiscale finite element methods and connects them to real-world applications. Narrative introduction provides a key to the
book's organization and its scope. To make the presentation accessible to a broader audience, the analyses of the methods are given in the last chapter.

Yalchin Efendiev is a Professor at Texas A&M University in College Station, Texas and Thomas Hou is the Charles Lee Powell Professor at California Institute of Technology in Pasadena, California.

Reviews

From the reviews:

“This book describes the main concepts and various applications of the multiscale finite element method (MsFEM). … This monograph is intended for engineers, graduate students, and applied scientists who are interested in multiscale simulations. … In this book, the authors chose to focus on the extensions of MsFEM and its applications. … Overall, the book is an interesting read presenting an overview of MsFEM and the wide range of applications handled by MsFEM.” (Ulrich Hetmaniuk, SIAM Review, Vol. 53 (2), 2011)

Table of contents (6 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-0-387-09496-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-0-387-09495-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multiscale Finite Element Methods
Book Subtitle
Theory and Applications
Authors
Series Title
Surveys and Tutorials in the Applied Mathematical Sciences
Series Volume
4
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-09496-0
DOI
10.1007/978-0-387-09496-0
Softcover ISBN
978-0-387-09495-3
Series ISSN
2199-4765
Edition Number
1
Number of Pages
XII, 234
Topics