Some practical aspects of parallel adaptive BDDC method

Šístek, Jakub, Mandel, Jan, and Sousedík, Bedřich. "Some practical aspects of parallel adaptive BDDC method." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 253-266. <http://eudml.org/doc/287777>.

@inProceedings{Šístek2012,
abstract = {We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may represent one class of such challenging problems. The adaptive selection of constraints is shown to significantly increase the robustness of the method for this class of problems. However, since the cost of the set-up of the preconditioner with adaptive constraints is considerably larger than for the standard choices, computational feasibility of the presented implementation is obtained only for large contrasts of material coefficients.},
author = {Šístek, Jakub, Mandel, Jan, Sousedík, Bedřich},
booktitle = {Applications of Mathematics 2012},
keywords = {balancing domain decomposition by constraints; parallel algorithmus; nonlinear elasticity},
location = {Prague},
pages = {253-266},
publisher = {Institute of Mathematics AS CR},
title = {Some practical aspects of parallel adaptive BDDC method},
url = {http://eudml.org/doc/287777},
year = {2012},
}

TY - CLSWK
AU - Šístek, Jakub
AU - Mandel, Jan
AU - Sousedík, Bedřich
TI - Some practical aspects of parallel adaptive BDDC method
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 253
EP - 266
AB - We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may represent one class of such challenging problems. The adaptive selection of constraints is shown to significantly increase the robustness of the method for this class of problems. However, since the cost of the set-up of the preconditioner with adaptive constraints is considerably larger than for the standard choices, computational feasibility of the presented implementation is obtained only for large contrasts of material coefficients.
KW - balancing domain decomposition by constraints; parallel algorithmus; nonlinear elasticity
UR - http://eudml.org/doc/287777
ER -