Numerical Approximation Methods for Elliptic Boundary Value Problems

Finite and Boundary Elements
Softcover Nachdruck of hardcover 1. Auflage 2008
ISBN: 978-1-4419-2173-4
Verlag: Springer

Buch, Englisch, 386 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Steinbach, Olaf

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.