Advanced Boundary Element Methods: Treatment of Boundary Value, Transmission and Contact Problems

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Joachim Gwinner Ernst Peter Stephan

Advanced Boundary Element Methods

Treatment of Boundary Value, Transmission and Contact Problems

Joachim Gwinner, Ernst Peter Stephan

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English

Springer Nature Switzerland AG
26 January 2019

Differential calculus & equations; Integral calculus & equations; Numerical analysis; Optimisation; Maths for engineers

Series: Springer Series in Computational Mathematics

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.

By: Joachim Gwinner, Ernst Peter Stephan
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: Softcover Reprint of the Original 1st 2018 ed.
Volume: 52
Dimensions: Height: 235mm, Width: 155mm, Spine: 34mm
Weight: 1.015kg
ISBN: 9783030063467
ISBN 10: 3030063461
Series: Springer Series in Computational Mathematics
Pages: 652
Publication Date: 26 January 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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 for Advanced Boundary Element Methods: Treatment of Boundary Value, Transmission and Contact Problems

“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)