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Multiscale Finite Element Methods: Theory and Applications

Hou, Thomas and Efendiev, Yalchin (2009) Multiscale Finite Element Methods: Theory and Applications. Surveys and Tutorials in the Applied Mathematical Sciences. Vol.4. Springer , New York, NY. ISBN 978-0-387-09495-3. http://resolver.caltech.edu/CaltechAUTHORS:20180810-134356708

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Abstract

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.


Item Type:Book
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-0-387-09496-0DOIBook
Additional Information:© 2009 Springer Science+Business Media, LLC.
Subject Keywords:Methods; Multiscale; Theory; element; finite; finite element method; porous media
Record Number:CaltechAUTHORS:20180810-134356708
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180810-134356708
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88755
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Aug 2018 16:00
Last Modified:13 Aug 2018 16:00

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