Different approaches to interface weights in the BDDC method in 3D

Čertíková, Marta; Šístek, Jakub; Burda, Pavel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 47-57

Abstract

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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.

How to cite

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Čertíková, Marta, Šístek, Jakub, and Burda, Pavel. "Different approaches to interface weights in the BDDC method in 3D." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 47-57. <http://eudml.org/doc/269931>.

@inProceedings{Čertíková2015,
abstract = {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.},
author = {Čertíková, Marta, Šístek, Jakub, Burda, Pavel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {BDDC; interface weights; coefficient jumps},
location = {Prague},
pages = {47-57},
publisher = {Institute of Mathematics AS CR},
title = {Different approaches to interface weights in the BDDC method in 3D},
url = {http://eudml.org/doc/269931},
year = {2015},
}

TY - CLSWK
AU - Čertíková, Marta
AU - Šístek, Jakub
AU - Burda, Pavel
TI - Different approaches to interface weights in the BDDC method in 3D
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 47
EP - 57
AB - 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.
KW - BDDC; interface weights; coefficient jumps
UR - http://eudml.org/doc/269931
ER -

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