The Finite Element Method for Elliptic Problems

Author: Philippe G. Ciarlet Series: Classics in Applied Mathematics

This is the only book available that fully analyzes the mathematical foundations of the finite element method. Not only is it valuable reference and introduction to current research, it is also a working textbook for graduate courses in numerical analysis, including useful figures and exercises of varying difficulty.

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Summary

Description

This text provides an in-depth analysis of the mathematical foundations of the finite element method. It is a comprehensive 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 exercises of varying difficulty. The book should prove 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 vectors. Other than these basics, the book is mathematically self-contained.

About the Author

Philippe G. Ciarlet is a Professor at the Laboratoire d'Analyse Numerique at the Universite Pierre et Marie Curie in Paris. He is also a member of the French Academy of Sciences. He is the author of more than a dozen books on a variety of topics and is a frequent invited lecturer at meetings and universities throughout the world. Professor Ciarlet has served approximately 75 visiting professorships since 1973, and he is a member of the editorial boards of more than 20 journals.