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/