Hartmann F. Green's Functions and Finite Elements 2013

Textbook in PDF format

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.
Introduction
Basic Concepts
Finite Elements and Green’s Functions
The Discretization Error
Modeling Error