Overview
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.
Full Product Details
Author: Eric Chung ,
Yalchin Efendiev ,
Thomas Y. Hou
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: 2023 ed.
Volume: 212
ISBN: 9783031204111
ISBN 10: 3031204115
Pages: 491
Publication Date: 08 June 2024
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
“This is a self-contained presentation of the multiscale finite element methods. Each chapter starts with motivating examples and a description of the methods. This book provides a good starting point for those interested in multiscale finite element methods. I recommend this book to any graduate students and scholars seeking to solve multiscale problems with finite element methods.” (Huadong Gao, Mathematical Reviews, January, 2025) “The book is a nice survey of multiscale model reduction and is suitable for researchers in other areas who wish to approach this domain and also for specialists in the field as a general reference.” (Nicolae Cîndea, zbMATH 1543.65001, 2024)
Author Information
Eric Chung is a Professor in the Department of Mathematics and an Outstanding Fellow of the Faculty of Science at the Chinese University of Hong Kong. His research focuses on numerical discretizations of partial differential equations and the development of computational multiscale methods for challenging applications. 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.
