Olaf Steinbach

Numerical Approximation Methods for Elliptic Boundary Value Problems (eBook, PDF)

Finite and Boundary Elements

• Format: PDF

Produktbeschreibung

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. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. The book includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. The book is suitable for self study and exercises are included.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 386
• Erscheinungstermin: 22. Dezember 2007
• Englisch
• ISBN-13: 9780387688053
• Artikelnr.: 43729890

Autorenporträt

Olaf Steinbach, Technische Universitat Graz, Austria

Inhaltsangabe

Boundary Value Problems.- Function Spaces.- Variational Methods.- Variational Formulations of Boundary Value Problems.- Fundamental Solutions.- Boundary Integral Operators.- Boundary Integral Equations.- Approximation Methods.- Finite Elements.- Boundary Elements.- Finite Element Methods.- Boundary Element Methods.- Iterative Solution Methods.- Fast Boundary Element Methods.- Domain Decomposition Methods.

Rezensionen

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)