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Theory and practice of finite elements

Author: Alexandre Ern; Jean-Luc Guermond
Publisher: New York : Springer, ©2004.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 159.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 Discontinuous Galerkin, subgrid viscosity stabilization, and a posteriori error estimation." "The book will be useful to researchers and graduate students in mathematics, computer science, and engineering."--Jacket.
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Genre/Form: Electronic books
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alexandre Ern; Jean-Luc Guermond
ISBN: 0387205748 9780387205748 144191918X 9781441919182
OCLC Number: 53814114
Description: xiii, 524 pages : illustrations ; 24 cm.
Contents: Part I. Theoretical foundations --
1. Finite element interpolation --
2. Approximation in Banach spaces by Galerkin methods --
Part II. Approximation of PDEs --
3. Coercive problems --
4. Mixed problems --
5. First-order PDEs --
6. Time-dependent problems --
Part III. Implementation --
7. Data structuring and mesh generation --
8. Quadratures, assembling, and storage --
9. Linear algebra --
10. A Posteriori error estimates and adaptive meshes --
Part IV. Appendices --
A. Banach and Hilbert spaces --
B. Functional analysis.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 159.
Responsibility: Alexandre Ern, Jean-Luc Guermond.
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Abstract:

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  Read more...

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From the reviews:"This book represents an excellent compendium of information about the mathematics and numerical analysis of the finite ... . Its user-ability, for the writing ... is guaranteed Read more...

 
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