# Boundary element methods

Sauter, S; Schwab, C (2011). Boundary element methods. Heidelberg: Springer.

## Abstract

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.

## Abstract

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.

## Citations

126 citations in Web of Science®

## Altmetrics

Item Type: Monograph 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 2011 23 Dec 2010 16:12 05 Feb 2017 08:02 Springer Springer series in computational mathematics 39 500 0179-3632 978-3-540-68092-5 https://doi.org/10.1007/978-3-540-68093-2 http://www.springer.com/series/797

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