The Finite Element Method for Elliptic Problems

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Elsevier, 01.01.1978 - 529 Seiten

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.

 

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Inhalt

Chapter 1 Elliptic boundary value problems
1
Chapter 2 Introduction to the finite element method
36
Chapter 3 Conforming finite element methods for second order problems
110
Chapter 4 Other finite element methods for secondorder problems
174
Chapter 5 Application of the finite element method to some nonlinear problems
287
Chapter 6 Finite element methods for the plate problem
333
Chapter 7 A mixed finite element method
381
Chapter 8 Finite element methods for shells
425
Some reallife finite element model examples
469
Bibliography
481
Glossary of symbols
512
Index
521
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