Schwarz Methods And Multilevel Preconditioners For Boundary Element Methods PDF Download
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Author | : Ernst P. Stephan |
Publisher | : Springer Nature |
Total Pages | : 589 |
Release | : 2021-11-04 |
Genre | : Mathematics |
ISBN | : 3030792838 |
Download Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods Book in PDF, ePub and Kindle
This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense. The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.
Author | : Ulrich Langer |
Publisher | : Springer Science & Business Media |
Total Pages | : 278 |
Release | : 2012-02-02 |
Genre | : Technology & Engineering |
ISBN | : 3642256708 |
Download Fast Boundary Element Methods in Engineering and Industrial Applications Book in PDF, ePub and Kindle
This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems. This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in engineering and industry.
Author | : Thanh Tran |
Publisher | : |
Total Pages | : 23 |
Release | : 1998 |
Genre | : Multigrid methods (Numerical analysis) |
ISBN | : |
Download Overlapping Additive Schwarz Preconditioners for Boundary Element Methods Book in PDF, ePub and Kindle
Author | : Stefan A. Sauter |
Publisher | : Springer Science & Business Media |
Total Pages | : 575 |
Release | : 2010-11-01 |
Genre | : Mathematics |
ISBN | : 3540680934 |
Download Boundary Element Methods Book in PDF, ePub and Kindle
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 | : C. Pozrikidis |
Publisher | : CRC Press |
Total Pages | : 438 |
Release | : 2002-05-15 |
Genre | : Mathematics |
ISBN | : 1420035258 |
Download A Practical Guide to Boundary Element Methods with the Software Library BEMLIB Book in PDF, ePub and Kindle
The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be d
Author | : Norbert Heuer |
Publisher | : |
Total Pages | : 25 |
Release | : 1995 |
Genre | : Boundary element methods |
ISBN | : |
Download Multilevel Additive Schwarz Method for the P and H-p Version Boundary Element Method Book in PDF, ePub and Kindle
Author | : W.L. Wendland |
Publisher | : Springer Science & Business Media |
Total Pages | : 506 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 3642607918 |
Download Boundary Element Topics Book in PDF, ePub and Kindle
The so-called boundary element methods BEM, i.e. finite element approxima tions of boundary integral equations have been improved recently even more vividly then ever before and found some remarkable support by the German Research Foundation DFG in the just finished Priority Research Program "boundary element methods" . When this program began, we could start from several already existing particular activities which then during the six years initiated many new re sults and decisive new developments in theory and algorithms. The program was started due to encouragement by E. Stein, when most of the later par ticipants met in Stuttgart at a Boundary Element Conference 1987. Then W. Hackbusch, G. Kuhn, S. Wagner and W. Wendland were entrusted with writing the proposal which was 1988 presented at the German Research Foun dation and started in 1989 with 14 projects at 11 different universities. After German unification, the program was heavily extended by six more projects, four of which located in Eastern Germany. When we started, we were longing for the following goals: 1. Mathematicians and engineers should do joint research. 2. Methods and computational algorithms should be streamlined with re spect to the new computer architectures of vector and parallel computers. 3. The asymptotic error analysis of boundary element methods should be further developed. 4. Non-linear material laws should be taken care of by boundary element methods for crack-mechanics. 5. The coupling of finite boundary elements should be improved.
Author | : Martin Schanz |
Publisher | : Springer Science & Business Media |
Total Pages | : 360 |
Release | : 2007-04-29 |
Genre | : Technology & Engineering |
ISBN | : 3540475338 |
Download Boundary Element Analysis Book in PDF, ePub and Kindle
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 engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.
Author | : M. H. Aliabadi |
Publisher | : World Scientific |
Total Pages | : 412 |
Release | : 2011 |
Genre | : Technology & Engineering |
ISBN | : 184816579X |
Download Boundary Element Methods in Engineering and Sciences Book in PDF, ePub and Kindle
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 | : Barry Smith |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2004-03-25 |
Genre | : Computers |
ISBN | : 9780521602860 |
Download Domain Decomposition Book in PDF, ePub and Kindle
Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.