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Green's Functions and Finite Elements

Autor Friedel Hartmann
en Limba Engleză Paperback – 20 sep 2014
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.
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Specificații

ISBN-13: 9783642429231
ISBN-10: 3642429238
Pagini: 344
Ilustrații: XIV, 330 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.48 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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

Textul de pe ultima copertă

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.

Caracteristici

Combines a classical mathematical tool with the standard Finite Element Methods Gives new insights to the Finite Element methods Help to find the best Finite Element model to a given problem Includes supplementary material: sn.pub/extras