In this paper, we introduce a general framework for derivation of the averaging operator, from which the standard choices are recovered by simplifications. Then, an alternative approach derived by another simplification is proposed and tested on a 2D example.
@article{702737,
title = {Some remarks on averaging in the BDDC method},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2010},
pages = {28-34},
url = {http://dml.mathdoc.fr/item/702737}
}
Čertíková, Marta; Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub. Some remarks on averaging in the BDDC method, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2010), pp. 28-34. http://gdmltest.u-ga.fr/item/702737/