Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements by Olaf SteinbachNumerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements by Olaf Steinbach

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

byOlaf Steinbach

Paperback | October 15, 2010

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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. This 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. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Title:Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary ElementsFormat:PaperbackDimensions:398 pages, 9.25 × 6.1 × 0 inPublished:October 15, 2010Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1441921737

ISBN - 13:9781441921734

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Table of Contents

Boundary Value Problems.- Function Spaces.- Variational Methods.- Variational Formulations for Boundary Value Problems.- Fundamental Solutions of Partial Differential Equations.- Boundary Integral Operators.- Boundary Integral Equations.- Numerical Methods for Variational Problems.- Finite Elements.- Boundary Elements.- Boundary Element Methods.- Preconditioned Iterative Solvers.- Fast Boundary Element Methods.- Domain Decomposition Methods.

Editorial Reviews

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)