1.

Record Nr.

UNINA9910437761303321

Autore

Hartmann F (Friedel), <1945->

Titolo

Green's functions and finite elements / / Friedel Hartmann

Pubbl/distr/stampa

Heidelberg ; ; New York, : Springer, 2012, c2013

ISBN

3-642-29523-1

Descrizione fisica

1 online resource (334 p.)

Disciplina

530.1

530.1/2

530.12

Soggetti

Finite element method

Green's functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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.