Overview
- Features fundamental chapters on boundary integral equations and their approximations by boundary elements to enable novice readers to become acquainted with a modern field of numerical analysis
- Discusses advanced key topics in BEM and presents the necessary tools of mathematical analysis, guiding readers to the forefront of reseach
- Describes numerous numerical experiments to help BEM practitioners in engineering and science understand modern, efficient and reliable versions of BEM
Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 52)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications.
Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research.
The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Reviews
“The book can be recommended as a comprehensive set of results for the state of the art in BEM, and in the applications considered by the authors.” (Michael J. Carley, Mathematical Reviews, August, 2019)
Authors and Affiliations
About the authors
Ernst Peter Stephan is retired professor of mathematics at Leibniz University Hannover. His research covers numerical methods for partial differential equations and boundary integral equations together with their analysis.
Bibliographic Information
Book Title: Advanced Boundary Element Methods
Book Subtitle: Treatment of Boundary Value, Transmission and Contact Problems
Authors: Joachim Gwinner, Ernst Peter Stephan
Series Title: Springer Series in Computational Mathematics
DOI: https://doi.org/10.1007/978-3-319-92001-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-92000-9Published: 09 August 2018
Softcover ISBN: 978-3-030-06346-7Published: 26 January 2019
eBook ISBN: 978-3-319-92001-6Published: 28 July 2018
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: XVIII, 652
Number of Illustrations: 51 b/w illustrations, 18 illustrations in colour
Topics: Integral Equations, Numerical Analysis, Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization, Mathematical and Computational Engineering, Theoretical, Mathematical and Computational Physics