Finite Element Method and Its Reliability

Informationen zum Autor 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 Klappentext 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 are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions 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. Zusammenfassung This volume presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. Many computational examples illustrate the importance of the theoretical conclusions for practical computations.

Summary

This volume presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. Many computational examples illustrate the importance of the theoretical conclusions for practical computations.

Product details

• Authors: Ivo Babuska, Ivo (University of Texas at Austin) Babuska, Ivo (University of Texas At Austin) Strou Babuska, Ivo Strouboulis Babuska, Babuska Ivo, Ivo Babuuska, Theofanis Strouboulis, Theofanis (Texas A&M University Strouboulis, Strouboulis Theofanis
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 01.11.2001
• EAN: 9780198502760
• ISBN: 978-0-19-850276-0
• No. of pages: 814
• Series: Numerical Mathematics and Scientific Computation; Numerical Mathematics and Scie; Numerical Mathematics and Scientific Computation; Numerical Mathematics and Scie
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Applied, TECHNOLOGY & ENGINEERING / Quality Control, TECHNOLOGY & ENGINEERING / Industrial Engineering, MATHEMATICS / Differential Equations / General, MATHEMATICS / Numerical Analysis, Numerical analysis, Differential calculus & equations, Maths for engineers, Reliability engineering, Differential calculus and equations