Joachim Gwinner , Ernst Peter Stephan Advanced Boundary Element Methods 9783319920009

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Автор: Joachim Gwinner , Ernst Peter Stephan (Гвиннер)
Название: Advanced Boundary Element Methods
Перевод названия: Гвиннер: Новейшие методы граничных элементов
ISBN: 9783319920009
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

Дифференциальное исчисление и дифференциальные уравнения

Интегральное исчисление и интегральные уравнения

Вариационное исчисление

Вычислительная математика

Математическая физика

Математика для инженеров

Нанотехнология

ISBN-10: 3319920006
Обложка/Формат: Hardcover
Страницы: 652
Вес: 1.11 кг.
Дата издания: 2018
Серия: Springer Series in Computational Mathematics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 15 illustrations, color; 45 illustrations, black and white; approx. 600 p. 60 illus., 15 illus. in color.
Размер: 234 x 156 x 37
Читательская аудитория: General (us: trade)
Основная тема: Integral Equations
Подзаголовок: Treatment of Boundary Value, Transmission and Contact Problems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Дополнительное описание: 1 Introduction.- 2 Some Elements of Potential Theory.- 3 A Fourier Series Approach.- 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators.- 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation.- 6 A Prime

Advanced Boundary Element Methods, Joachim Gwinner , Ernst Peter Stephan