Multiscale Finite Element Methods

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This text on the main concepts and recent advances in multiscale finite element methods is written for a broad audience. Each chapter contains a simple introduction, a description of proposed methods, and numerical examples of those methods. Series: Surveys and Tutorials in the Applied Mathematical Sciences. Num Pages: 246 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 157 x 234 x 18. Weight in Grams: 388. . 2008. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780387094953

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This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations. The book is self-contained, starts from the basic concepts and proceeds to the latest developments in the field.

Each chapter of the book starts with a simple introduction and the description of the proposed methods as well as with motivating examples. Numerical examples demonstrating the significance of the proposed methods are presented in each chapter. The book addresses mathematical and numerical issues in multiscale finite element methods and connects them to real-world applications. Narrative introduction provides a key to the
book's organization and its scope. To make the presentation accessible to a broader audience, the analyses of the methods are given in the last chapter.

Yalchin Efendiev is a Professor at Texas A&M University in College Station, Texas and Thomas Hou is the Charles Lee Powell Professor at California Institute of Technology in Pasadena, California.