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Springer Series in Computational Mathematics

Advanced Boundary Element Methods

Treatment of Boundary Value, Transmission and Contact Problems

Authors: Gwinner, Joachim, Stephan, Ernst Peter

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  • 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
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eBook $84.99
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  • ISBN 978-3-319-92001-6
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Softcover $109.99
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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.

About the authors

Joachim Gwinner is retired professor of mathematics at Bundeswehr  University Munich. His research interests span from optimization to numerical and  variational analysis with  applications in continuum mechanics.

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.

Reviews

“The book can be recommended to researches in the field of mathematics and engineering and to graduate students to familiarize themselves with the state-of-the-art of boundary element methods.” (Dana Černá, zbMATH 1429.65001, 2020)
“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)

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-319-92001-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-92000-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-06346-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advanced Boundary Element Methods
Book Subtitle
Treatment of Boundary Value, Transmission and Contact Problems
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
52
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-92001-6
DOI
10.1007/978-3-319-92001-6
Hardcover ISBN
978-3-319-92000-9
Softcover ISBN
978-3-030-06346-7
Series ISSN
0179-3632
Edition Number
1
Number of Pages
XVIII, 652
Number of Illustrations
51 b/w illustrations, 18 illustrations in colour
Topics

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