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

多尺度模型缩减:多尺度有限元方法及其推广

数理逻辑与数学基础

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出  版 社
出版时间
2023年04月11日
装      帧
精装
ISBN
9783031204081
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页      码
498
语      种
英文
版      次
2023
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图书简介
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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