Green's Functions and Finite Elements

2013
ISBN: 978-3-642-29522-5
Verlag: Springer

Buch, Englisch, 330 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 682 g

This book elucidates how Finite Element methods look like from the perspective of Green’s functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem.
The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Green’s functions  and how approximating of Green’s functions. It discusses in detail the discretization error and shows that are coherent with the strategy of “goal oriented refinement”. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.

Zielgruppe

Research

Autoren/Hrsg.

Hartmann, Friedel

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder

Inhaltsverzeichnis

Basic concepts.- Finite elements and Green's functions.- The discretization error.- Modeling error.