Different choices of the averaging operator within the BDDC method are compared on a series of 2D experiments. Subdomains with irregular interface and with jumps in material coefficients are included into the study. Two new approaches are studied along three standard choices. No approach is shown to be universally superior to others, and the resulting recommendation is that an actual method should be chosen based on properties of the problem.
@article{702704,
title = {On selection of interface weights in domain decomposition methods},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {35-44},
url = {http://dml.mathdoc.fr/item/702704}
}
Čertíková, Marta; Šístek, Jakub; Burda, Pavel. On selection of interface weights in domain decomposition methods, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), pp. 35-44. http://gdmltest.u-ga.fr/item/702704/