Overview
- Empahises boundary-element methods for which there are few books
- Suitable for self study
- Exercises included
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (15 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods.
Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered.
This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods.
Reviews
From the reviews:
“Steinbach introduces known fundamental solutions … for the potential equation, linear elasticity, the Stokes system, and the Helmholtz equation. … For a reader who has a basic knowledge of functional analysis, Steinbach’s book is a nice and relatively compact introduction to the error analysis of Galerkin boundary element methods and its fast realization.” (Hans-Görg Roos, SIAM Review, Vol. 52 (4), 2010)Authors and Affiliations
Bibliographic Information
Book Title: Numerical Approximation Methods for Elliptic Boundary Value Problems
Book Subtitle: Finite and Boundary Elements
Authors: Olaf Steinbach
DOI: https://doi.org/10.1007/978-0-387-68805-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-31312-2Published: 26 November 2007
Softcover ISBN: 978-1-4419-2173-4Published: 15 October 2010
eBook ISBN: 978-0-387-68805-3Published: 22 December 2007
Edition Number: 1
Number of Pages: XII, 386
Additional Information: Original German edition published by Teubner, Wiesbaden, Germany, 2003
Topics: Numerical Analysis, Applications of Mathematics, Mathematical and Computational Engineering