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Multiscale Finite Element Methods: Theory and Applications (Surveys and Tutorials in the Applied Mathematical Sciences, Vol. 4) - Tapa blanda
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“This book describes the main concepts and various applications of the multiscale finite element method (MsFEM). ... This monograph is intended for engineers, graduate students, and applied scientists who are interested in multiscale simulations. ... In this book, the authors chose to focus on the extensions of MsFEM and its applications. ... Overall, the book is an interesting read presenting an overview of MsFEM and the wide range of applications handled by MsFEM.” (Ulrich Hetmaniuk, SIAM Review, Vol. 53 (2), 2011)Reseña del editor
The aim of this monograph is to describe the main concepts and recent - vances in multiscale ?nite element methods. This monograph is intended for thebroaderaudienceincludingengineers,appliedscientists,andforthosewho are interested in multiscale simulations. The book is intended for graduate students in applied mathematics and those interested in multiscale compu- tions. It combines a practical introduction, numerical results, and analysis of multiscale ?nite element methods. Due to the page limitation, the material has been condensed. Each chapter of the book starts with an introduction and description of the proposed methods and motivating examples. Some new techniques are introduced using formal arguments that are justi?ed later in the last chapter. Numerical examples demonstrating the signi?cance of the proposed methods are presented in each chapter following the description of the methods. In the last chapter, we analyze a few representative cases with the objective of demonstrating the main error sources and the convergence of the proposed methods. A brief outline of the book is as follows. The ?rst chapter gives a general introductiontomultiscalemethodsandanoutlineofeachchapter.Thesecond chapter discusses the main idea of the multiscale ?nite element method and its extensions. This chapter also gives an overview of multiscale ?nite element methods and other related methods. The third chapter discusses the ext- sion of multiscale ?nite element methods to nonlinear problems. The fourth chapter focuses on multiscale methods that use limited global information.
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- EditorialSpringer
- Año de publicación2009
- ISBN 10 0387094954
- ISBN 13 9780387094953
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas248
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Multiscale Finite Element Methods
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ISBN 10: 0387094954
ISBN 13: 9780387094953
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this monograph is to describe the main concepts and recent - vances in multiscale nite element methods. This monograph is intended for thebroaderaudienceincludingengineers,appliedscientists,andforthosewho are interested in multiscale simulations. The book is intended for graduate students in applied mathematics and those interested in multiscale compu- tions. It combines a practical introduction, numerical results, and analysis of multiscale nite element methods. Due to the page limitation, the material has been condensed. Each chapter of the book starts with an introduction and description of the proposed methods and motivating examples. Some new techniques are introduced using formal arguments that are justi ed later in the last chapter. Numerical examples demonstrating the signi cance of the proposed methods are presented in each chapter following the description of the methods. In the last chapter, we analyze a few representative cases with the objective of demonstrating the main error sources and the convergence of the proposed methods. A brief outline of the book is as follows. The rst chapter gives a general introductiontomultiscalemethodsandanoutlineofeachchapter.Thesecond chapter discusses the main idea of the multiscale nite element method and its extensions. This chapter also gives an overview of multiscale nite element methods and other related methods. The third chapter discusses the ext- sion of multiscale nite element methods to nonlinear problems. The fourth chapter focuses on multiscale methods that use limited global information. 248 pp. Englisch. Nº de ref. del artículo: 9780387094953
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Multiscale Finite Element Methods : Theory and Applications
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ISBN 10: 0387094954
ISBN 13: 9780387094953
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this monograph is to describe the main concepts and recent - vances in multiscale nite element methods. This monograph is intended for thebroaderaudienceincludingengineers,appliedscientists,andforthosewho are interested in multiscale simulations. The book is intended for graduate students in applied mathematics and those interested in multiscale compu- tions. It combines a practical introduction, numerical results, and analysis of multiscale nite element methods. Due to the page limitation, the material has been condensed. Each chapter of the book starts with an introduction and description of the proposed methods and motivating examples. Some new techniques are introduced using formal arguments that are justi ed later in the last chapter. Numerical examples demonstrating the signi cance of the proposed methods are presented in each chapter following the description of the methods. In the last chapter, we analyze a few representative cases with the objective of demonstrating the main error sources and the convergence of the proposed methods. A brief outline of the book is as follows. The rst chapter gives a general introductiontomultiscalemethodsandanoutlineofeachchapter.Thesec ond chapter discusses the main idea of the multiscale nite element method and its extensions. This chapter also gives an overview of multiscale nite element methods and other related methods. The third chapter discusses the ext- sion of multiscale nite element methods to nonlinear problems. The fourth chapter focuses on multiscale methods that use limited global information. Nº de ref. del artículo: 9780387094953
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