Green's functions and finite elements

by Hartmann, F., (Friedel)

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Title Statements

Full title :Green's functions and finite elements / Friedel Hartmann.

Summary

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.

Edition Statements

Publication Date:©2013.

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:©2013.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9783642295232, 3642295231
DOI:10.1007/978-3-642-29523-2
oclc:ocn805723545
LC Classification:QC174.17.G68
Dewey Decimal:518/.25

Subjects

Computational Mathematics and Numerical… Computer science -- Mathematics Continuum Mechanics and Mechanics of Ma… engineering Finite element method Fonctions de Green Green's functions Ingénierie Materials MATHEMATICS / Numerical Analysis mechanical engineering Méthode des éléments finis Structural Mechanics