Boundary Element Methods

Boundary Element Methods

Author: Stefan A. Sauter

Publisher: Springer Science & Business Media

ISBN: 3540680934

Category: Mathematics

Page: 561

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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.
Boundary Element Methods
Language: en
Pages: 561
Authors: Stefan A. Sauter, Christoph Schwab
Categories: Mathematics
Type: BOOK - Published: 2010-11-01 - Publisher: Springer Science & Business Media

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
Stress Analysis by Boundary Element Methods
Language: en
Pages: 699
Authors: J. Balaš, J. Sládek, V. Sládek
Categories: Technology & Engineering
Type: BOOK - Published: 2013-10-22 - Publisher: Elsevier

The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum
Boundary Element Analysis of Plates and Shells
Language: en
Pages: 368
Authors: Dimitri E. Beskos
Categories: Technology & Engineering
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

The analysis of plates and shells under static and dynamic loads is of greatinterest to scientists and engineers both from the theoretical and the practical viewpoint. The Boun- dary Element Method (BEM) has some distinct advantages over domain techniques such as the Finite Difference Method (FDM) and the Finite Element
Boundary Element Analysis
Language: en
Pages: 354
Authors: Martin Schanz, Olaf Steinbach
Categories: Technology & Engineering
Type: BOOK - Published: 2007-04-29 - Publisher: Springer Science & Business Media

This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents
Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena
Language: en
Pages: 250
Authors: Charles V. Camp, G.Steven Gipson
Categories: Mathematics
Type: BOOK - Published: 1992-03-05 - Publisher: Springer

At the date of this writing, there is no question that the boundary element method has emerged as one of the major revolutions on the engineering science of computational mechanics. The emergence of the technique from relative obscurity to a cutting edge engineering analysis tool in the short space of