Numerical Approximation Methods for Elliptic Boundary Value Problems
Finite and Boundary Elements
1st Edition
Published on 22. December 2007
XII, 386 pages
978-0-387-68805-3 (ISBN)
Description
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.
Reviews / Votes
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)More details
Other editions
Additional editions
Olaf Steinbach
Numerical Approximation Methods for Elliptic Boundary Value Problems
Finite and Boundary Elements
Book
10/2010
Springer
€53.49
Shipment within 15-20 days
Olaf Steinbach
Numerical Approximation Methods for Elliptic Boundary Value Problems
Finite and Boundary Elements
Book
11/2007
Springer
€53.49
Shipment within 5-7 days
Person
Content
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.
