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The Finite Element Method for Elliptic Problems - Philippe G. Ciarlet

The Finite Element Method for Elliptic Problems

Buch | Softcover
554 Seiten
2002
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-514-9 (ISBN)
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This is the only book available that analyses 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.
This 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.

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.

Preface to the Classics Edition
Preface
General Plan and Interdependence Table
Chapter 1: Elliptic Boundary Value Problems
Chapter 2: Introduction to the Finite Element Method
Chapter 3: Conforming Finite Element Methods for Second Order Problems
Chapter 4: Other Finite Element Methods for Second-Order Problems
Chapter 5: Application of the Finite Element Method to Some Nonlinear Problems
Chapter 6: Finite Element Methods for the Plate Problem
Chapter 7: A Mixed Finite Element Method
Chapter 8: Finite Element Methods for Shells
Epilogue: Some “real-life” finite element model examples
Bibliography
Glossary of Symbols
Index.

Reihe/Serie Classics in Applied Mathematics
Verlagsort New York
Sprache englisch
Maße 152 x 229 mm
Gewicht 735 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-89871-514-8 / 0898715148
ISBN-13 978-0-89871-514-9 / 9780898715149
Zustand Neuware
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