The Boundary-Domain Integral Method for Elliptic Systems PDF Download

Author: Andreas Pomp
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175

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Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.

Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376

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Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.

Author: Andreas Pomp
Publisher:
ISBN: 9783662164785
Category :
Languages : en
Pages : 188

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Book Description

Author: M. H. Aliabadi
Publisher: World Scientific
ISBN: 184816579X
Category : Technology & Engineering
Languages : en
Pages : 412

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Book Description
The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique. It is an established alternative to traditional computational methods of engineering analysis. This book provides a comprehensive account of the method and its application to problems in engineering and science.

Author: Christian Constanda
Publisher: Springer
ISBN: 3030160777
Category : Mathematics
Languages : en
Pages : 476

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Book Description
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers. The topics addressed are wide ranging, and include: Asymptotic analysis Boundary-domain integral equations Viscoplastic fluid flow Stationary waves Interior Neumann shape optimization Self-configuring neural networks This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

Author: Stefan A. Sauter
Publisher: Springer Science & Business Media
ISBN: 3540680934
Category : Mathematics
Languages : en
Pages : 575

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Book Description
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.

Author: Christian Constanda
Publisher: Birkhäuser
ISBN: 3319593846
Category : Mathematics
Languages : en
Pages : 342

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Book Description
This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as:• Integral equations• Homogenization• Duality methods• Optimal design• Conformal techniques This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work.

Author: Sergej Rjasanow
Publisher: Springer Science & Business Media
ISBN: 0387340424
Category : Mathematics
Languages : en
Pages : 285

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Book Description
This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.

Author: Karl‐Olof Lindahl
Publisher: Springer
ISBN: 3030044599
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.

Author: M. Zuhair Nashed
Publisher: Springer Science & Business Media
ISBN: 0817644504
Category : Mathematics
Languages : en
Pages : 311

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Book Description
The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.