Multiscale Model Reduction : Multiscale Finite Element Methods and Their Generalizations /

This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on l...

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Bibliographic Details
Main Authors: Chung, Eric (Author), Efendiev, Yalchin (Author), Hou, Thomas Y. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2023.
Edition:1st ed. 2023.
Series:Applied Mathematical Sciences, 212
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.
Physical Description:1 online resource (XIV, 491 pages 177 illustrations, 162 illustrations in color.)
ISBN:9783031204098
ISSN:2196-968X ;
DOI:10.1007/978-3-031-20409-8