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Synopsis
This book presents a mathematical theory of finite elements. Recent developments are covered in detail. Several reading paths are proposed, allowing for a readership with diverse interests. Engineers and applications-oriented researchers will find it useful. It can also be used as a graduate-level textbook.
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From the Back Cover
This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as and Discontinuous Galerkin, subgrid viscosity stabilization, and a posteriori error estimation.
The body of the text is organized into three parts plus two appendices collecting the functional analysis results used in the book. The first part develops the theoretical basis for the finite element method and emphasizes the fundamental role of inf-sup conditions. The second party addresses various applications encompassing elliptic PDE's, mixed formulations, first-order PDEs, and the time-dependent versions of these problems. The third part covers implementation issues and should provide readers with most of the practical details needed to write or understand a finite element code.
Written at the graduate level, the text contains numerous examples and exercises and is intended to serve as a graduate textbook. Depending on one's interests, several reading paths can be followed, emphasizing either theoretical results, numerical algorithms, code efficiency, or applications in the engineering sciences.
The book will be useful to researchers and graduate students in mathematics, computer science and engineering.
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Theory and Practice of Finite Elements
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises. 544 pp. Englisch. Seller Inventory # 9781441919182
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique in that it manages to cover three different aspects of the finite element method in a single volume: the rigorous mathematical theory, applications, and practical implementations of the methodThis text presenting the mathematical theory. Seller Inventory # 4172484
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Theory and Practice of Finite Elements
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