ENGLISH

Boundary Element Methods

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
978-3-540-68092-5, 978-3-540-68093-2
DOI
10.1007/978-3-540-68093-2
Language
english
Format
PDF
Filesize
5 MB (4742104 bytes)
Series
Springer Series in Computational Mathematics 39
Edition
1
Pages
561\574
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00

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 IR3. 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.

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