Multiscale Model Reduction: Multiscale Finite Element Methods and Their Generalizations - Softcover

Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y.

 
9783031204104: Multiscale Model Reduction: Multiscale Finite Element Methods and Their Generalizations

Synopsis

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.

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Other Popular Editions of the Same Title

9783031204081: Multiscale Model Reduction: Multiscale Finite Element Methods and Their Generalizations: 212 (Applied Mathematical Sciences, 212)

Featured Edition

ISBN 10:  3031204085 ISBN 13:  9783031204081
Publisher: Springer, 2023
Hardcover