The Finite Element Method for Elliptic Problems is the only book available that fully analyzes 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, and also a working textbook for graduate courses in numerical analysis. It includes many useful figures, as well as 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. As such the author has provided a bibliography of recent texts that complement the classic material in these chapters.
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Book Description
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.
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.
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2 of 2 people found the following review helpful:
5.0 out of 5 stars
Justly called "classic",
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This review is from: The Finite Element Method for Elliptic Problems (Classics in Applied Mathematics) (Paperback)
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.
2 of 5 people found the following review helpful:
5.0 out of 5 stars
Bible of Finite Element Method,
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This review is from: Finite Element Method for Elliptic Probl (Studies in mathematics and its applications) (Paperback)
The most exact ideas in FEM are stated here mathematically.
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regular isoparametric family, associated approximate bilinear forms, over curved domains, abstract error estimate, straight finite elements, elements and finite element spaces, two adjacent finite elements, sup lah, finite element methods for shells, nonconforming method, conforming finite element methods, generic finite element, polynomial invariance, consistency error estimates, bilinear lemma, reference finite element, clamped plate problem, isoparametric triangle, conforming methods, affine family, biharmonic problem, invertible affine mapping, minimal surface problem, abstract variational problem, isoparametric finite elements Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fraeijs de Veubeke, Applying Theorem, Using Green, Prove Theorem, Using Theorem, Differential Calculus Browse Sample Pages:
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regular isoparametric family, associated approximate bilinear forms, over curved domains, abstract error estimate, straight finite elements, elements and finite element spaces, two adjacent finite elements, sup lah, finite element methods for shells, nonconforming method, conforming finite element methods, generic finite element, polynomial invariance, consistency error estimates, bilinear lemma, reference finite element, clamped plate problem, isoparametric triangle, conforming methods, affine family, biharmonic problem, invertible affine mapping, minimal surface problem, abstract variational problem, isoparametric finite elements Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fraeijs de Veubeke, Applying Theorem, Using Green, Prove Theorem, Using Theorem, Differential Calculus Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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