Overview
- Introduces a systemic approach to theory, computation, and applications in multi-scale finite element methods
- Presents an accessible summary to a wide array of researchers in mathematics, science, and engineering
- Combines an exposition of key concepts and constructions with practical examples
Part of the book series: Applied Mathematical Sciences (AMS, volume 212)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Yalchin Efendiev is a Professor in the Department of Mathematics at the Texas A&M University.
Thomas Y. Hou is the Charles Lee Powell Professor of Applied and Computational Mathematics at the California Institute of Technology. His research focuses on multiscale analysis and computation, fluid interface problems, and singularity formation of 3D Euler and Navier-Stokes equations.
Bibliographic Information
Book Title: Multiscale Model Reduction
Book Subtitle: Multiscale Finite Element Methods and Their Generalizations
Authors: Eric Chung, Yalchin Efendiev, Thomas Y. Hou
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-20409-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-20408-1Published: 08 June 2023
Softcover ISBN: 978-3-031-20411-1Due: 09 July 2023
eBook ISBN: 978-3-031-20409-8Published: 07 June 2023
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XIV, 491
Number of Illustrations: 15 b/w illustrations, 162 illustrations in colour
Topics: Numerical Analysis, Computational Science and Engineering, Theoretical, Mathematical and Computational Physics