Multiscale Model Reduction: Multiscale Finite Element Methods and Their Generalizations: 212 (Applied Mathematical Sciences) - Tapa dura

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

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

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

​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.

 

 

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  3031204107 ISBN 13:  9783031204104
Editorial: Springer, 2023
Tapa blanda