In this paper, we discuss the choice of weights in averaging of local (subdomain) solutions on the interface for the BDDC method (Balancing Domain Decomposition by Constraints). We try to find relations among different choices of the interface weights and compare them numerically on model problems of the Poisson equation and linear elasticity in 3D. Problems with jumps in coefficients of material properties are considered and both regular and irregular interfaces between subdomains are tested.
@article{702662,
title = {Different approaches to interface weights in the BDDC method in 3D},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {47-57},
url = {http://dml.mathdoc.fr/item/702662}
}
Čertíková, Marta; Šístek, Jakub; Burda, Pavel. Different approaches to interface weights in the BDDC method in 3D, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 47-57. http://gdmltest.u-ga.fr/item/702662/