Numerical Approximation Methods for Elliptic Boundary Value Problems
-12 %

Numerical Approximation Methods for Elliptic Boundary Value Problems

Finite and Boundary Elements
 Previously published in hardcover
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ISBN-13:
9781441921734
Einband:
Previously published in hardcover
Erscheinungsdatum:
15.10.2010
Seiten:
400
Autor:
Olaf Steinbach
Gewicht:
602 g
Format:
235x155x21 mm
Sprache:
Englisch
Beschreibung:

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.
InhaltsangabeBoundary 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.
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.
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.