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Multiscale Finite Element Methods : Theory and Applications / by Yalchin Efendiev, Thomas Y. Hou
(Surveys and Tutorials in the Applied Mathematical Sciences. ISSN:21994773 ; 4)

Edition 1st ed. 2009.
Publisher (New York, NY : Springer New York : Imprint: Springer)
Year 2009
Language English
Size XII, 234 p : online resource
Authors *Efendiev, Yalchin author
Hou, Thomas Y author
SpringerLink (Online service)
Subjects LCSH:Engineering
LCSH:Numerical analysis
LCSH:Mechanics, Applied
LCSH:Fluid mechanics
LCSH:Earth sciences
LCSH:Functional analysis
FREE:Technology and Engineering
FREE:Numerical Analysis
FREE:Engineering Mechanics
FREE:Engineering Fluid Dynamics
FREE:Earth Sciences
FREE:Functional Analysis
Notes Multiscale finite element methods for linear problems and overview -- Multiscale finite element methods for nonlinear equations -- Multiscale ¯nite element methods using limited global information -- Applications of multiscale ¯nite element methods -- Analysis
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
HTTP:URL=https://doi.org/10.1007/978-0-387-09496-0
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Springer eBooks 9780387094960
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EB00230679

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Material Type E-Book
Classification LCC:T1-995
DC23:620
ID 4000116120
ISBN 9780387094960

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