The Finite Element Method for Elliptic Problems (ISSN) by P. G. Ciarlet (PDF)

Description

The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject.On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments” should provide many suggestions for conducting seminars.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Indeed surpassed my expectations.

⭐Ciarlet’s text is not the only book to analyze in depth the mathematical theory of finite element methods, but it is still one of the best. The mathematics in the book is mostly self-contained beyond some facts of functional analysis, but readers without an appropriate level of mathematical maturity will find it difficult. The main focus of the book is on elliptic problems, and particularly linear problems. Those readers who want to deal with eigenvalue problems, constrained problems in which ellipticity fails, problems in dynamics, or problems with strong nonlinearities will probably not find all they want in Ciarlet; however, the book has an excellent bibliography with many pointers to additional literature.

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