26560568

9783540680925

Boundary Element Methods

Boundary Element Methods
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  • ISBN-13: 9783540680925
  • ISBN: 3540680926
  • Publication Date: 2009
  • Publisher: Springer

AUTHOR

Sauter, Stefan, Schwab, Christoph

SUMMARY

PMThis 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 waSauter, Stefan is the author of 'Boundary Element Methods', published 2009 under ISBN 9783540680925 and ISBN 3540680926.

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