The Finite Element Method and its Reliability

Erscheinungsjahr 2001
ISBN: 978-0-19-850276-0
Verlag: Oxford University Press

Buch, Englisch, 814 Seiten, Print PDF, Format (B × H): 177 mm x 247 mm, Gewicht: 1495 g

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand more and more at the forefront of engineering and theoretical interests. The present book presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

Autoren/Hrsg.

Babuska, Ivo

Strouboulis, Theofanis

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Zuverlässigkeitstechnik

Inhaltsverzeichnis

- Preface

- 1: Introduction

- 2: Mathematical formulation of the model problem

- 3: The finite element method

- 4: Local behaviour in the finite element method

- 5: A-posteriori estimation of the error

- 6: Guaranteed a-posteriori error estimation, and a-posteriori estimation of the pollution error

- Appendix

- Index

Über Autor(innen)

Ivo Babuska, Professor of Aerospace Engineering and Engineering Science, and Professor of Mathematics, University of Texas at Austin. Theofanis Strouboulis, Associate Professor, Department of Aerospace Engineering, University of Texas at College Station