Numerical Approximation Methods for Elliptic Boundary Value Problems : Finite and Boundary Elements

Olaf Steinbach

ISBN 10: 1441921737 / ISBN 13: 9781441921734

Editore: Springer New York, Springer New York, 2010

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Druck auf Anfrage Neuware - Printed after ordering - Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods.Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered.This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods. Codice articolo 9781441921734

Dati bibliografici

Titolo: Numerical Approximation Methods for Elliptic...

Casa editrice: Springer New York, Springer New York

Data di pubblicazione: 2010

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. It is one of the first books on Theory of Boundary Element Methods.

Recensione:

From the reviews:

“Steinbach introduces known fundamental solutions ... for the potential equation, linear elasticity, the Stokes system, and the Helmholtz equation. ... For a reader who has a basic knowledge of functional analysis, Steinbach’s book is a nice and relatively compact introduction to the error analysis of Galerkin boundary element methods and its fast realization.” (Hans-Görg Roos, SIAM Review, Vol. 52 (4), 2010)