Green's Functions and Finite Elements

This book shows how Finite Elements fulfill the strategy of Green's functions, helping the reader to better assess solutions of standard programs and to find the optimal model of a given problem. Covers discretization error and "goal oriented refinement."

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.

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

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