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Green's Functions and Finite Elements [electronic resource] /by Friedel Hartmann.

by Hartmann, Friedel [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.Description: XIII, 327 p. 149 illus. online resource.ISBN: 9783642295232.Subject(s): Engineering | Computer science -- Mathematics | Materials | Mechanical engineering | Engineering | Continuum Mechanics and Mechanics of Materials | Computational Mathematics and Numerical Analysis | Structural MechanicsDDC classification: 620.1 Online resources: Click here to access online
Contents:
Basic concepts -- Finite elements and Green's functions -- The discretization error -- Modeling error.
In: Springer eBooksSummary: 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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Basic concepts -- Finite elements and Green's functions -- The discretization error -- Modeling error.

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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