Numerical Approximation Methods for Elliptic Boundary Value Problems

Finite and Boundary Elements

Paperback Engels 2010 9781441921734
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Samenvatting

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.

Specificaties

ISBN13:9781441921734
Taal:Engels
Bindwijze:paperback
Aantal pagina's:386
Uitgever:Springer New York
Druk:0

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Inhoudsopgave

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.

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€ 61,99
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        Numerical Approximation Methods for Elliptic Boundary Value Problems