Ciarlet, Philippe G. (2002) The finite element method for elliptic problemsPhiladelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),MLA Citation
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The finite element method for elliptic problems [electronic resource] /
Philippe G. Ciarlet.
|Main Author:||Ciarlet, Philippe G.|
|Published:||Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2002.|
Classics in applied mathematics ; 40.
|Topics:||Differential equations, Elliptic - Numerical solutions. | Boundary value problems - Numerical solutions. | Finite element method.|
|Physical Description:||1 electronic text (xxiv, 530 p.) : ill., digital file.
|Includes:||Includes bibliographical references (p. 481-511) and index.
|ISBN:||9780898719208 (electronic bk.)
|System Details:||Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
|Abstract:||The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.
|Restrictions:||Restricted to subscribers or individual electronic text purchasers.
Society for Industrial and Applied Mathematics.